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Chapter 9: Q T9.10 (page 616)
Which of the following has the greatest probability?
a.if t has 5 degrees of freedom.
b. if t has 2 degrees of freedom.
c. if z is a standard Normal random variable.
d.if t has 5 degrees of freedom.
e. if z is a standard Normal random variable.
Option e)
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Opening a restaurant You are thinking about opening a restaurant and are
searching for a good location. From research you have done, you know that the mean income of those living near the restaurant must be over to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of people living near one potential location. Based on the mean income of this sample, you will perform a test of
where is the true mean income in the population of people who live near the restaurant. Describe a Type error and a Type error in this setting, and give a possible consequence of each.
Better parking A local high school makes a change that should improve student satisfaction with the parking situation. Before the change, of the school鈥檚 students approved of the parking that was provided. After the change, the principal surveys an SRS of students at the school. She would like to perform a test of where p is the true proportion of students at school who are satisfied with the parking
situation after the change.
a. The power of the test to detect that based on a random sample of students and a significance level of is Interpret this value.
b. Find the probability of a Type I error and the probability of a Type II error for the test in part (a).
c. Describe two ways to increase the power of the test in part (a).
Based on the -value in Exercise 31, which of the following would be the most
appropriate conclusion?
a. Because the P-value is large, we reject . We have convincing evidence that more than of city residents support the tax increase.
b. Because the -value is large, we fail to reject . We have convincing evidence that more than of city residents support the tax increase.
c. Because the -value is large, we reject . We have convincing evidence that at most of city residents support the tax increase.
d. Because the -value is large, we fail to reject . We have convincing evidence that at most of city residents support the tax increase.
e. Because the -value is large, we fail to reject . We do not have convincing
evidence that more than of city residents support the tax increase.
Calculations and conclusions Refer to Exercise R9.1. Find the standardized test statistic and -value in each setting, and make an appropriate conclusion.
A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of
is which of the following?
a)
b)
c)
d)
e)
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