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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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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.
Watching grass grow The germination rate of seeds is defined as the proportion of seeds that sprout and grow when properly planted and watered. A certain variety of grass seed usually has a germination rate of . A company wants to see if spraying the seeds with a chemical that is known to increase germination rates in other species will increase the germination rate of this variety of grass. The company researchers spray a random sample of grass seeds with the chemical, and of the seeds germinate. Do these data provide convincing evidence at the significance level that the chemical is
effective for this variety of grass?
Tests and confidence intervals The value for a two-sided test of the null hypothesis is
a. Does the confidence interval for 渭 include ? Why or why not?
b. Does the confidence interval for 渭 include ? Why or why not?
A researcher claims to have found a drug that causes people to grow taller. The coach of the basketball team at Brandon University has expressed interest but demands evidence. Over 1000 Brandon students volunteer to participate in an experiment to test this new drug. Fifty of the volunteers are randomly selected, their heights are measured, and they are given the drug. Two weeks later, their heights are measured again. The power of the test to detect an average increase in height of 1 inch could be increased by
a. using only volunteers from the basketball team in the experiment.
b. using instead of
c. using instead of
d. giving the drug to 25 randomly selected students instead of .
e. using a two-sided test instead of a one-sided test.
Calculations and conclusions Refer to Exercise R9.1. Find the standardized test statistic and -value in each setting, and make an appropriate conclusion.
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