Assignment

  1. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with a mean  and a standard deviation .  Systolic blood pressure for males follows a normal distribution.   If a male was told by his doctor that his z-score for his systolic blood pressure was 2, what is his systolic blood pressure?
 

 

 

 

 

 

2.       In the United States, males between the ages of 40 and 49 eat on average 103.1g of fat every day with a standard deviation of 4.32 g.  (“What we eat,” 2012).  Find the probability that a man age 40-49 eats more than 110 g of fat every day.
 

 

 

 

 

 

3.        In your own words, explain the significance of the Central Limit Theorem?
 

 

 

 

 

 

 

4.        A significant portion of this class has been spent exploring the process Hypothesis Testing.   In Hypothesis Testing, why is it important to define the null and alternative hypotheses.
 

 

 

 

 

 

5.        In your own words, compare and contrast the Type I Error and the Type II Errorin Hypothesis Testing.  Why would it be important to understand the significance of these types of errors.  Do not simply write the definition, explain it!
 

 

 

 

 

 

 

 

6.       Give a general description of the process of Hypothesis Testing.
 

 

 

 

 

 

 

 

 

 

 

7.        In our exploration of hypothesis testing, we have looked at several processes.   For EACHof the following, explain how you would know that this was the hypothesis testing process you would use and a brief description of the steps required to complete the testing.  You should also either list the equations you would use or how you would use technology (with the commands)to assist you.
a.       One-Sample Proportion Test

b.       One-Sample Test for the Mean

c.       Two Population Proportion

d.       Two Sample Paired t-Test

e.       Independent t-Test

f.        Correlation

g.       Chi-Square Test

h.       Goodness of Fit Test

i.         ANOVA

 

8.        Give a general description of the process of constructing a Confidence Interval.
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9.        Explain the difference between a confidence level and a confidence interval.
 

 

 

 

 

 

 

 

 

 

 

 

10.   We have also explored different processes for the construction of confidence intervals.  Choose TWO of the processes for the construction of confidence intervals and provide the criteria that would be necessary for someone to select that process and an overview of the steps required to complete the construction of the confidence interval.   Make sure you either list the equations that you would use or the way technology could assist you.
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

11.   In July of 1997, Australians were asked if they thought unemployment would increase, and 47% thought it would increase.  In November of 1997, they were asked again.  At that time 284 out of 631 said they thought unemployment would increase.  At the 5% level,  is there enough evidence to show that the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997?  Obviously, show your work to support your answer.
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

12.  According to the IRS, the average length of time for an individual to complete IRS Form 1040 is 11.33 hours.  The distribution is unknown.  Let us assume a standard deviation of 2.5 hours.  Suppose we randomly sample 35 taxpayers.   What is the probability that one taxpayer finished their form in more than 12 hours?
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

13.    The Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions.  The protocol became enforceable in February 2005.  The table below contains a random sample of  emissions in 2010.  Compute a 99% confidence interval to estimate the mean  emission in 2010.

1.36 1.42 5.93 5.36 0.06 9.11 7.32
7.93 6.72 0.78 1.80 0.20 2.27 0.28
5.86 3.46 1.46 0.14 2.62 0.79 7.48
0.86 7.84 2.87 2.45      
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

14.  The U.S. Department of Energy reported that 51.7% of homes were heated by natural gas.  A random sample of 200 homes found that 115 were heated by natural gas.    Does the evidence supoort the claim at the α = 0.05 level?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

15.    Cigarette smoking and cancer have been linked.  The number of deaths per one hundred thousand from bladder cancer and the number of cigarettes sold per capita in 1960 are listed in the table below.    Find the correlation coefficient and coefficient of determination and then interpret both.
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

16.   The cholesterol level of patients who had heart attacks was measured two days after the heart attack and then again 4 days after the heart attack.  The researchers want to see if the cholesterol level of patients who have heart attacks reduces as the time since their heart attack increases.   Calculate a 98% confidence interval for the mean difference in cholesterol levels from day two to day four.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

17.  The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same.  An experiment is conducted and data are collected from 29 males and 16 females.  The males took an average of three English courses with a standard deviation of 0.8.   The females took an average of five english courses with a standard deviation of 1.0.  Are the means statistically the same?

 

 

 

 

 

 

 

 

 

 

18.   What is the difference between statistical interpretation and real world interpretation?
 

 

 

 

 

 

 

19.   In Hypothesis Testing, what is reason one rejects the null hypothesis?   (Don’t just say you compared it to the alpha value).
 

 

 

 

 

 

 

20.   What is a z-score?
 

 

 

 

 

 

 

 

 

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