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Chapter 10: Q. 72. (page 672)
Based on the P-value in Exercise 71, which of the following must be true?
a. A confidence interval for μM−μFwill contain
b. A confidence interval for μM−μFwill contain
c. A confidence interval for μM−μFwill contain
d. A confidence interval for μM−μF will contain
The required correct option is
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Sports Illustrated planned to ask a random sample of Division I college athletes, “Do you believe performance-enhancing drugs are a problem in college sports?” Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within with confidence?
I want red! Refer to Exercise 1.
a. Find the probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample, assuming that the company’s claim is true.
b. Suppose that the Child and Adult samples contain an equal proportion of red jelly beans. Based on your result in part (a), would this give you reason to doubt the
company’s claim? Explain your reasoning.
Literacy Refer to Exercise 2.
a. Find the probability that the proportion of graduates who pass the test is at most higher than the proportion of dropouts who pass, assuming that the researcher’s report is correct.
b. Suppose that the difference (Graduate – Dropout) in the sample proportions who pass the test is exactly . Based on your result in part (a), would this give you reason to doubt the researcher’s claim? Explain your reasoning.
Does drying barley seeds in a kiln increase the yield of barley? A famous
experiment by William S. Gosset (who discovered the t distributions) investigated this
question. Eleven pairs of adjacent plots were marked out in a large field. For each pair,
regular barley seeds were planted in one plot and kiln-dried seeds were planted in the
other. A coin flip was used to determine which plot in each pair got the regular barley seed
and which got the kiln-dried seed. The following table displays the data on barley yield
(pound per acre) for each plot.
Do these data provide convincing evidence at the α=0.05 level
that drying barley seeds in a kiln increases the yield of barley, on average?
A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained an SRS of high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be hours with a standard deviation of hours. The researcher also obtained an independent SRS of high school students in a large city school district and found the mean time spent in extracurricular activities per week to be hours with a standard deviation of hours. Suppose that the researcher decides to carry out a significance test of : μsuburban=μcity versus a two-sided alternativ
The P-value for the test is . A correct conclusion is to
a. fail to reject because. There is convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.
b. fail to reject because . There is not convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.
c. fail to reject because. There is convincing evidence that the average time spent on extracurricular activities by students in the suburban and city school districts is the same.
d. reject because . There is not convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.
e. reject because . There is convincing evidence of a difference in the average time spent on extracurricular activities by students in the suburban and city school districts.
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