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Chapter 9: Q T9.8 (page 616)
In a test ofagainst , a random sample of size 100 yields a standardized test statistic of . Which of the following is closest to the P-value for this test?
a. 0.90
b. 0.40
c. 0.05
d. 0.20
e. 0.10
The correct option is (d) i.e
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Heavy bread? The mean weight of loaves of bread produced at the bakery where you work is supposed to be pound. You are the supervisor of quality control at the bakery, and you are concerned that new employees are producing loaves that are too light. Suppose you weigh an SRS of bread loaves and find that the mean weight is pound.
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest.
b. Explain why there is some evidence for the alternative hypothesis.
c. The P-value for the test in part (a) is . Interpret the P-value.
d. What conclusion would you make at the significance level?
Clean water The Environmental Protection Agency (EPA) has determined that safe
drinking water should contain at most mg/liter of copper, on average. A water supply company is testing water from a new source and collects water in small bottles at each ofrandomly selected locations. The company performs a test at the 伪=0.05 significance level ofversus , where 渭 is the
true mean copper content of the water from the new source.
a. Describe a Type I error and a Type II error in this setting.
b. Which type of error is more serious in this case? Justify your answer.
c. Based on your answer to part (b), do you agree with the company鈥檚 choice of ? Why or why not?
Restaurant power problems Refer to Exercises and
a. Explain one disadvantage of using instead of when
performing the test.
b. Explain one disadvantage of taking a random sample of people instead of people.
Don't argue Refer to Exercise 2. Yvonne finds that of the students say they rarely or never argue with friends. A significance test yields a -value of Interpret the -value.
Walking to school Refer to Exercise 36.
a. Explain why the sample result gives some evidence for the alternative hypothesis.
b. Calculate the standardized test statistic and -value.
c. What conclusion would you make?
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