Tag Archives: Statistics

Health Statistics and Populations


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Health Statistics and Populations

Directions

This Assignment requires you to select 1) a population of interest (e.g. older adults, women of reproductive age) and 2) a health condition or event (e.g. hysterectomy, breastfeeding, unintended pregnancy), and then locate health statistics for your selections. Please search for data at the national, state, and local levels. Input your responses using a table similar to the one below.

Data Search Directions Summarize Your Findings
Identify the population of interest and health condition/event to your practice. Specify how you define the population (e.g. age, gender, health status, etc.).  
Summarize your search process. Specify what sources of health statistics were searched to find relevant health statistics.  
Provide the health information obtained in the search.  
Interpret your findings and determine if there is any evidence of health disparities based on the population examined.  

DUE: to Dropbox on end of Day 7 of Unit 6.

To view the Grading Rubric for this Assignment, please visit the Grading Rubrics section of the Course Home.

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Assignment help-Unit: TSTA101 – INTRODUCTORY STATISTICS


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Individual Assignment
Unit: TSTA101 – INTRODUCTORY STATISTICS
Due Date: Thursday, 28/09/2017 (16:00pm)
Number of Questions: Six (6) Questions
Total Marks: Twenty (20) marks
Instructions: All questions should be attempted.
The marks of each question would be awarded based on your understanding of the questions, concepts and procedures; hence you should demonstrate your answers step by step.
Question 1 [3 marks]
Part a)
Find the following probabilities by checking the z table
i) P((Z>-0.8)
ii) P (-1.3<Z<-0.7)
iii) Z0.2
Part b)
A new car has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 4 miles. Find the probability of the following events.
i) The car travels more than 70 miles per gallon.
ii) The car travels less than 60 miles per gallon.
iii) The car travels between 55 and 70 miles per gallon.
Question 2 [3 marks]
Part a)
A sample of n=25 observations is drawn from a normal population with μ=100 and σ=20. Find the following.
i) P(<96)
ii) P(96<<105)
Part b)
The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours.
i) What is the probability that a professor works for more than 60 hours per weeks?
ii) Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours?
Question 3 [2 marks]
Part a)
Given the following information =500, σ=12, n=50
i) Determine the 95% confidence interval estimate of population mean.
ii) Determine the 99% confidence interval estimate of population mean.
Part b)
A statistics practitioner calculated the mean and standard deviation from a sample of 51. They are =120 and s=15.
(i) Estimate the population mean with 95% confidence level.
(ii) Estimate the population mean with 99% confidence level.
X
X
X
X
Question 4 [4 marks]
Part a)
Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution.
H0: μ=10
H1: μ≠10
Given that: σ=10, n=100, =10, α=0.05.
Part b)
A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a sample of 200 observations as =175 and s=22. Calculate the value of the test statistic of the test required to determine whether there is enough evidence to infer at the 5% significance level that the population mean is different from 180.
Question 5 (2 marks)
Suppose you are using a completely randomized design to study some phenomenon.
There are five treatment levels and a total of 55 people in the study. Each treatment
level has the same sample size. Complete the following ANOVA. Use α=0.05 to find the table F value and use the data to test the null hypothesis.
Source of Variance
SS
df
MS
F
Treatment
583.39
Error
972.18
Total
1555.57
Question 6 (6marks)
There is a simple linear regression model given by:
where price = used car price in dollars and
age = age of the car in years.
The EXCEL results obtained using Ordinary Least Squares are presented below:
Regression Statistics
R2
0.077
Standard Error
42069
Observations
117
Coefficients
Standard Error
t Stat
Intercept
A
6748
7.035
Age
-2658
856
B
Use the above output for answering the following questions:
a) Calculate the missing values from the summary output: A and B
b) Interpret the slope of the regression line.
c) Write down the estimated linear regression line.
d) What is the value of the coefficient of determination? Interpret this value
e) What is the value of the coefficient of correlation? Interpret this value.
f) Test whether the estimated coefficient of Age is significantly less than zero at the 5% level of significance.
g) Predict price if the car has driven 3 years. X

 

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Computer Homework help-R, Statistical Report


Computer Homework help-R, Statistical Report

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Requirement:

For the computer homework questions, please use the report format:

First, answer the questions in complete sentences, using the output text

or figures as evidence to support your answer; then, attach the program

codes (with comments to code more readable) as an appendix by the

end of the statistical report. When you copy and paste the text part,

please box them and treat them as tables. Please label all your figures

and tables. The code in your appendix may contain extra code you have

used or explored, but should be executable (no errors).

 

1.Please use R to summarize the Men’s triple jump Olympic records.

  1. Please report the five number summaries of the jumping distance.
  2. Please construct a scatter plot with a regression line.
  3. What are the covariance and correlation between “year” and

“distance”? Please interpret your result in the context.

Year    Distance

1896    13.71

1900    14.47

1904    14.35

1908    14.92

1912    14.64

1920    14.50

1924    15.53

1928    15.21

1932    15.72

1936    16.00

1948    15.40

1952    16.22

1956    16.35

1960    16.81

1964    16.85

1968    17.39

1972    17.35

1976    17.29

1980    17.35

1984    17.25

1988    17.61

1992    18.17

1996    18.09

2000    17.71

2004    17.79

2008    17.67

2012    17.81

2016    17.86

 

  1. Please use R to summarize Labor Data (please see the file “Labor Data”). You can choose whatever plots and tables to present, as long as they are meaningful. What can you

find from this collected data?

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Computer Homework help-R, Statistical Report

Need help-STAT2112.13


Need help-STAT2112.13
Quiz #
8
(last)
NAME:____________________GWID:G_________________
Fall 201
6
sba
(Take Home)
Due
on Tuesday office Hour (5pm)
Rome
Hall
Questions 1
3
are based on the following
quarterly
data collected on
the
average nights
foreign
tourists
spent in
Washington DC
area
from 2011
2016 (
quarterly
data)
.
Time
Average Stay (
nights
)
Mar
11
1
41.7
Jun
11
2
24
Sep
11
3
32.3
Dec
11
4
37.3
Mar
12
5
46.2
Jun
12
6
29.3
Sep
12
7
36.5
Dec
12
8
43
Mar
13
9
48.9
Jun
13
10
31.2
Sep
13
11
37.7
Dec
13
12
40.4
Mar
14
13
51.2
Jun
14
14
31.9
Sep
14
15
41
Dec
14
16
43.8
Mar
15
17
55.6
Jun
15
18
33.9
Sep
15
19
42.1
Dec
15
20
45.6
Mar
1
6
21
59.8
Jun
1
6
22
35.2
Sep
1
6
23
44.3
Dec
1
6
24
47.9
1.
Use
Exponential
Smoothing
with w=0.6
to
predict average
stay (
nights
)
by
foreign
tourists
during
four (4) quarters of
201
7
.
2.
Assuming there is a trend in the da
ta, use
appropriate
s
moothing
technique
with
coefficients
w=0.6 and ν=0.2
,
to
predict the
average
stay (
nights
)
by
foreign
tourists
during
four (4) quarters
of
201
7
.
3.
Which of the above two models do you prefer?
W
hy
?
,.. use MAD goodness of test in answering
th
is question.
4
.
Which one the
assumption
(if any) is/
are required for using
Kruskal
Wallis
test?
I
. We assume that the samples drawn from the population are random.
II
. We also assume tha
t the cases of each group are independent.
III
. The measurement scale for should be at least ordinal.
A. I, II but not III
B. I, I
I
I but not II
C. I, II and III
D.
Kruskal
Wallis
is a distribution free statistics and
therefore
no assumption is requir
ed.
Questions
5
6
are based on the following data
.
S
uppose weights of
an
exotic
plant (lbs) a
re
different based on treatments (no
treatment, fertilizer, irrigation, or fertilizer and irrigation). Each
weight samples that determined by the treatments is independent and random
.
W
e
ight samples
are not normally distributed.
NO
Fert
Irrig
F
&I
0.15
1.34
0.23
2.03
0.02
0.14
0.04
0.27
0.16
0.02
0.34
0.92
0.37
0.08
0.16
1.07
0.22
0.08
0.05
2.38
0.
0
2
2.38
5
. T
est whether the
weights
of plants
are different under the
treatments.
6. What is your conclusion and why
.
7
8
. Six
restaurant
food
critics
were randomly assigned to
all
four
restaurant
s (A, B,
C, and D)
and
asked to rate them
o
n the scale of 0
100 (100 being the best)
Rater A B C D
1
70
61
82
74
2
77
75
88
76
3
76
67
90
80
4
80
63
96
76
5
84
66
92
84
6
78
68
98
86
Are
there any differences
among
the
restaurant
ratings? Please support your
conclusion
with
objective
facts
/statistics
.
9
. Which of the following nonparametric tests can be used for a paired difference experiment?
a. The Wilcoxon Signed Ranks test.
b. The Sign test.
c.
The
Kruskal
Wallis test
d
. Spearman’s Rank Correlation test
10. The following table provides
M
ath and
English
scores
on 10
stu
d
ents
.
The relationship may
not be linear. Use
appropriate
statistics
to investigate the possible
ass
ociation
between these
scores
Exam
Scores
English
56
75
45
71
61
64
58
80
76
61
Maths
66
70
40
60
65
56
59
77
67
63

Need help-Statistics Assignment:Geochemistry 1


Need help-Statistics Assignment:Geochemistry 1

Field and Laboratory Techniques in Geochemistry 1

Statistics Assignment

 

Question 1)  10%

The data for a digestion of Bolivian tailings are provided. The elements are grouped as majors, traces and rare earth elements. Produce, using the descriptive statistics command in Excel (or any other suitable programme), summary data for each of these three groupings (Mean, Standard Error, Median, Mode, Standard Deviation, Sample Variance, Kurtosis, Skewness, Range, Minimum, Maximum, Sum and Count).

The data should be presented in tabulated form.

 

Question 2)  10%

Explain, using a maximum of three sentences for each, what you understand by the terms: Mean, Standard Error, Median, Mode, Standard Deviation, Sample Variance, Kurtosis, Skewness, Range, Minimum, Maximum, Sum and Count.

 

Question 3)  10%

Calculate the precision for each element analysed. (Hint the copy and paste tool is very useful for formulae).

 

Question 4)   10%

The data for a digestion of Bolivian uncontaminated soil are provided. The elements are grouped as majors, traces and rare earth elements. Calculate the mean, standard deviation, standard error and median of the samples for each of these three categories. Comment on any elements which show a large median/mean difference (hint Bi might be worth comparing in this context; for example against a major element). Your answer should incorporate the word ‘outlier’.

 

Question 5)   10%

BCR-1 and JB-3 are soil CRM materials. They were digested at the same time and using exactly the same methodology as the samples themselves. Calculate the accuracy of the digestion by comparing the results with the given elemental concentrations of the reference materials (BCR-1 rv and JB-3 rv). Comment on the accuracy of the analysis.

 

Question 6)  25%

The data for chloride concentrations of Regent’s canal and Pennine stream water, as determined by Ion Chromatography (IC), are presented. The data to be analysed are those collected from the Regent’s canal (RC in the spreadsheet itself). To the right of the spreadsheet these data has been extracted to help you answer the following questions.

Question 6a) the samples were analysed at two dilutions: a hundred fold (*100) and neat (*1). Why do you think that such a difference was reported in concentration? Which of these ‘dilutions’ do you trust?

Question 6b) construct a calibration curve (hint, scatter graph). The calibration standards employed were made up to 10, 20, 40 and 60 mg L-1. Plot a suitable regression line and display the R2 value on the graph, from this calculate the Pearson correlation coefficient (hint this is a one-step transformation)

Question 6c) do you think that drift correction might be necessary? Plot a suitable scatter graph to illustrate your answer. Note there is not a definitive yes or no answer to this question. You will be awarded marks on the strength of your reasoning.

Question 6d), using the blank data determine the LOD and LOQ for the complete analytical run. Describe, in a maximum of four sentences, what is meant by the terms LOD and LOQ.

Question 6e) Determine the precision* and accuracy (hint, consider the CRM dilution factor) of the Regent’s canal data. The concentration of chloride in the Battle reference standard is as follows:

 

*Note there are two duplicate pairs: 1 and 1a together with 2 and 2a. Calculate the individual precisions and the combined overall precision by any appropriate method.

 

 

Question 7)  25%

The data provided are from a column experiment which investigated the evolution of pore water concentrations over a modelled twenty year period. The column was packed with uncontaminated Bolivian soil together with sulphide mine tailings.

Question 7a) Produce a correlation matrix encompassing all of the elements (hint spreadsheet 30 gives a suitable method and also remember to remove all non-numerical data).

Question 7b) Produce three scatter graphs from the data. The first should show a strong positive correlation, the second a negative correlation and the third show minimal correlation. For each of these graphs plot a regression line, produce a linear equation and a R2 value. From the latter obtain the value of r (Pearson’s correlation).

7c) Calculate a Spearman correlation coefficient for the Zn and Cd concentrations (hint, follow the ranking formulae given in spreadsheet 11).

When comparing the Pearson and Spearman correlation coefficient, which of the two is more sensitive to outliers? Looking at the formulae can you suggest a reason for your conclusion?

Pearson

Spearman

 

7d) Give an example, not necessarily from the scientific literature, of correlation not implying causation (hint, Wikipedia has a good page addressing this specific question).

 

Need help-Statistics Assignment:Geochemistry 1

Need Help-Statistics Assignment


Need Help-Statistics Assignment
Statistical Inference I: J. Lee
Assignment 3
Problem 1.
Approximately 80,000 marriages took place in the state of Pennsylvania last year. Estimate
the probability that, for at least one of the couples married in PA last year,
(a) both partners were born on April 30;
(b) both partners celebrated their birthday on the same day of the year.
Make sure to state what assumptions you are making in your computation.
Problem 2.
A certain typing agency employs Al, Bob, and Cathy as typists. The average number of errors
per page is 3 when typed by Al, 4.2 when typed by Bob, and 2.1 when typed by Cathy. If your 7-page article
is equally likely to be typed by any of the three typists, estimate the probability that it will have no errors.
Also estimate the probability it will have at most 3 errors.
Problem 3.
Let
X
denote the lifetime (in hours) of a light bulb, and assume that the density function of
X
is given by
f
(
x
) =
8
<
:
2
x
if 0
x <
1
=
2
3
=
4
if 2
< x <
3
0
otherwise.
(a) On average, what fraction of light bulbs last more than 15 minutes?
(b) Compute
E
(
X
).
(c) Compute
P
(0
:
25
< X
2
:
2
j
X >
1)
:
(d) Compute
P
(
X
= 2)
; P
(
X
= 0)
; P
(
X
=
E
(
X
))
:
Problem 4.
The density function of
X
is given by
f
(
x
) =
a
+
bx
2
if 0
x
1
0
otherwise.
Suppose also that you are told that
E
(
X
) = 3
=
5
:
(a) Find
a
and
b
.
(b) Determine the cdf,
F
(
x
), explicilty.
Problem 5.
De ne the function
F
:
R!R
by
F
(
x
) =
8
>
>
<
>
>
:
0
if
x <
0
x=
2
if 0
x <
1
(
x
+ 2)
=
6
if 1
x <
4
1
if
x
4
:
(a) Is
F
the cdf of a continuous random variable? Explain your answer.
(b) If your answer to part (a) is \yes”, determine the corresponding pdf; if your answer was \no”, then
make a modi cation to
F
so that it is a cdf, and then compute the corresponding pdf.
(c) Compute the expectation of
X
, if
X
has density given by the pdf from part (b).
1
Need Help-Statistics Assignment

Describe the elements of Power analysis and discuss how to conduct a power analysis.


Describe the elements of Power analysis and discuss how to conduct a power analysis.

Quantitative Methods Assignment


Subject Statistics
Topic Quantitative Methods Assignment

Paper details

(Please do NOT take this project unless you’re 100% sure that you’ll get at least B. It’s at a very difficult university, so in order to get B you’ll need to work really hard) Quantitative Methods Assignment The student is required to demonstrate the creativity to formulate a problem, the ability to collect information, to enter and edit it, to analyse it; and to write an effective and clear report. Ask yourself a question. The question must be relevant to the Quantitative Methods course. Collect all the relevant information, perform any relevant analysis, and then write a report on what you have done. I expect the report to contain between 2500 and 3000 words, although it is the quality rather than the length of the report that matters most. You may collect the data yourself. Alternatively, if appropriate, you may use official statistics. What you may not use is a standard data set from a textbook. Such an approach will not be well received. If you find it necessary to use a computer package such as SPSS, then I expect you to fully use it. Computing simple statistics by hand will not attract many marks. Above everything else, it is the originality and insight provided by the task that I will value: It is better to use simple statistics effectively than to reproduce some complex and standard material, which I could find in a textbook or a journal article. Plagiarism is taken very seriously. Submitting a piece of coursework you have already submitted for another course, perhaps at another university, is not acceptable. Some students decide to obtain some data, apply a particular formula, and report that the answer is 42 or some other meaningless number. Without a context, this is not a valuable exercise. Such studies invariably get bad marks. I value initiative and a demonstration of an inquisitive mind even more than technical ability. Attached file contains statistical problems studied in previous years.

Quantitative Methods Assignment


Subject: Statistics
Topic: Quantitative Methods Assignment

Paper details

Quantitative Methods Assignment

The student is required to demonstrate the creativity to formulate a problem, the ability to collect information, to enter and edit it, to analyse it; and to write an effective and clear report. Ask yourself a question. The question must be relevant to the Quantitative Methods course. Collect all the relevant information, perform any relevant analysis, and then write a report on what you have done. I expect the report to contain between 2500 and 3000 words, although it is the quality rather than the length of the report that matters most. You may collect the data yourself. Alternatively, if appropriate, you may use official statistics. What you may not use is a standard data set from a textbook. Such an approach will not be well received. If you find it necessary to use a computer package such as SPSS, then I expect you to fully use it. Computing simple statistics by hand will not attract many marks. Above everything else, it is the originality and insight provided by the task that I will value: It is better to use simple statistics effectively than to reproduce some complex and standard material, which I could find in a textbook or a journal article. Plagiarism is taken very seriously. Submitting a piece of coursework you have already submitted for another course, perhaps at another university, is not acceptable. Some students decide to obtain some data, apply a particular formula, and report that the answer is 42 or some other meaningless number. Without a context, this is not a valuable exercise. Such studies invariably get bad marks. I value initiative and a demonstration of an inquisitive mind even more than technical ability.

Algebra II(CCSS)


Algebra II(CCSS)

MAFS.912.S-IC.1.1: Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

MAFS.912.S-IC.1.2: Decide if a specified model is consistent with results from a given datagenerating process (e.g., using simulation). For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?

MAFS.912.S-IC.2.3: Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each

MAFS.912.S-IC.2.4 : Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

MAFS.912.S-IC.2.5 : Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

MAFS.912.S-IC.2.6 : Evaluate reports based on data.

MAFS.912.S-ID.1.4 :  Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

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