Remember the entire paper is 12 pages with 6 scholarly sources and you are only turning in part 1 this week. You can break up the number of pages and sources in any combination you want between this week and week 7.  For example, you can submit 4 pages this week with 3 sources and that would leave 8 pages and 3 more sources for week 7.  Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor. Show all relevant work; use the equation editor in Microsoft Word when necessary. 1. Chapter 9, numbers 9.7, 9.8, 9.9, 9.13, and 9.14 2. Chapter 10, numbers 10.9, 10.10, 10.11, and 10.12 3. Chapter 11, numbers 11.11, 11.19, and 11.20 4. Chapter 12, numbers 12.7, 12.8, and 12.10 9.7 Define the sampling distribution of the mean 9.8 Specify three important properties of the sampling distribution of the mean. 9.9 Indicate whether the following statements are true or false. If we took a random sample of 35 subjects from some population, the associated sampling distribution of the mean would have the following properties: (a) Shape would approximate a normal curve. (b) Mean would equal the one sample mean. (c) Shape would approximate the shape of the population. (d) Compared to the population variability, the variability would be reduced by a factor equal to the square root of 35. (e) Mean would equal the population mean. (f) Variability would equal the population variability. 9.13 Given a sample size of 36, how large does the population standard deviation have to be in order for the standard error to be (a) 1 ? (b) 2 ? (c) 5 ? (d) 100 ? 9.14 (a) A random sample of size 144 is taken from the local population of grade-school children. Each child estimates the number of hours per week spent watching TV. At this point, what can be said about the sampling distribution? (b) Assume that a standard deviation, σ, of 8 hours describes the TV estimates for the local population of schoolchildren. At this point, what can be said about the sampling distribution? (c) Assume that a mean, µ, of 21 hours describes the TV estimates for the local population of schoolchildren. Now what can be said about the sampling distribution? (d) Roughly speaking, the sample means in the sampling distribution should deviate, on average, about ___ hours from the mean of the sampling distribution and from the mean of the population. (e) About 95 percent of the sample means in this sampling distribution should be between ___ hours and ___ hours. 10.9 The normal range for a widely accepted measure of body size, the body mass index (BMI), ranges from 18.5 to 25. Using the midrange BMI score of 21.75 as the null hypothesized value for the population mean, test this hypothesis at the .01 level of significance given a random sample of 30 weight-watcher participants who show a mean BMI = 22.2 and a standard deviation of 3.1. 10.10 Let’s assume that, over the years, a paper and pencil test .

1. Remember the entire paper is 12 pages with 6
scholarly sources and you are only turning in part 1 this week.
You can break up the number of pages and sources in any
combination you want between this week and week 7. For
example, you can submit 4 pages this week with 3 sources and
that would leave 8 pages and 3 more sources for week 7.
Complete the following exercises located at the end of each
chapter and put them into a Word document to be submitted as
directed by the instructor.
Show all relevant work; use the equation editor in Microsoft
Word when necessary.
1. Chapter 9, numbers 9.7, 9.8, 9.9, 9.13, and 9.14
2. Chapter 10, numbers 10.9, 10.10, 10.11, and 10.12
3. Chapter 11, numbers 11.11, 11.19, and 11.20
4. Chapter 12, numbers 12.7, 12.8, and 12.10
9.7 Define the sampling distribution of the mean
9.8 Specify three important properties of the sampling
distribution of the mean.
9.9 Indicate whether the following statements are true or false.
If we took a random sample of 35 subjects from some
population, the associated sampling distribution of the mean
would have the following properties:
(a) Shape would approximate a normal curve.
(b) Mean would equal the one sample mean.
(c) Shape would approximate the shape of the population.
(d) Compared to the population variability, the variability
would be reduced by a factor equal to the square root of 35.
(e) Mean would equal the population mean.
(f) Variability would equal the population variability.

2. 9.13 Given a sample size of 36, how large does the population
standard deviation have to be in order for the standard error to
be
(a) 1 ?
(b) 2 ?
(c) 5 ?
(d) 100 ?
9.14 (a) A random sample of size 144 is taken from the local
population of grade-school children. Each child estimates the
number of hours per week spent watching TV. At this point,
what can be said about the sampling distribution?
(b) Assume that a standard deviation, σ, of 8 hours describes the
TV estimates for the local population of schoolchildren. At this
point, what can be said about the sampling distribution?
(c) Assume that a mean, µ, of 21 hours describes the TV
estimates for the local population of schoolchildren. Now what
can be said about the sampling distribution?
(d) Roughly speaking, the sample means in the sampling
distribution should deviate, on average, about ___ hours from
the mean of the sampling distribution and from the mean of the
population.
(e) About 95 percent of the sample means in this sampling
distribution should be between ___ hours and ___ hours.
10.9 The normal range for a widely accepted measure of body
size, the body mass index (BMI), ranges from 18.5 to 25. Using
the midrange BMI score of 21.75 as the null hypothesized value
for the population mean, test this hypothesis at the .01 level of
significance given a random sample of 30 weight-watcher
participants who show a mean BMI = 22.2 and a standard
deviation of 3.1.
10.10 Let’s assume that, over the years, a paper and pencil test
of anxiety yields a mean score of 35 for all incoming college
freshmen. We wish to determine whether the scores of a random
sample of 20 new freshmen, with a mean of 30 and a standard
deviation of 10, can be viewed as coming from this population.
Test at the .05 level of significance.

3. 10.11 According to the California Educational Code
(http://www.cde.ca.gov/ls/fa/sf/pegui-demidhi.asp), students in
grades 7 through 12 should receive 400 minutes of physical
education every 10 school days. A random sample of 48
students has a mean of 385 minutes and a standard deviation of
53 minutes. Test the hypothesis at the .05 level of significance
that the sampled population satisfies the requirement.
10.12 According to a 2009 survey based on the United States
census (http://www.census.gov/prod/2011pubs/acs-15.pdf), the
daily one-way commute time of U.S. workers averages 25
minutes with, we’ll assume, a standard deviation of 13 minutes.
An investigator wishes to determine whether the national
average describes the mean commute time for all workers in the
Chicago area. Commute times are obtained for a random sample
of 169 workers from this area, and the mean time is found to be
22.5 minutes. Test the null hypothesis at the .05 level of
significance
11.11 Give two reasons why the research hypothesis is not
tested directly.
11.19 How should a projected hypothesis test be modified if
you’re particularly concerned about
(a) the type I error?
(b) the type II error?
11.20 Consult the power curves in Figure 11.7 to estimate the
approximate detection rate, rounded to the nearest tenth, for
each of the following situations:
(a) a four-point effect, with a sample size of 13
(b) a ten-point effect, with a sample size of 29
(c) a seven-point effect with a sample size of 18 (Interpolate)
*12.7 In Question 10.5 on page 191, it was concluded that, the
mean salary among the population of female members of the
American Psychological Association is less than that ($82,500)
for all comparable members who have a doctorate and teach full
time.
(a) Given a population standard deviation of $6,000 and a
sample mean salary of $80,100 for a random sample of 100

4. female members, construct a 99 percent confidence interval for
the mean salary for all female members
(b) Given this confidence interval, is there any consistent
evidence that the mean salary for all female members falls
below $82,500, the mean salary for all members?
12.8 In Review Question 11.12 on page 218, instead of testing a
hypothesis, you might prefer to construct a confidence interval
for the mean weight of all 2-pound boxes of candy during a
recent production shift.
(a) Given a population standard deviation of .30 ounce and a
sample mean weight of 33.09 ounces for a random sample of 36
candy boxes, construct a 95 percent confidence interval
(b) Interpret this interval, given the manufacturer’s desire to
produce boxes of candy that, on the average, exceed 32 ounces.
12.10 Imagine that one of the following 95 percent confidence
intervals estimates the effect of vitamin C on IQ scores:
(a) Which one most strongly supports the conclusion that
vitamin C increases IQ scores?
(b) Which one implies the largest sample size?
(c) Which one most strongly supports the conclusion that
vitamin C decreases IQ scores?
(d) Which one would most likely stimulate the investigator to
conduct an additional experiment using larger sample sizes?