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Chapter 9: Q 104. (page 610)
You are testing against based on an SRS of
observations from a Normal population. What values of the t statistic are statistically significant at the level?
The correct option is (d)
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Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of a certain text in the common Times New Roman font in an average time of 22 seconds. Researchers asked a random sample of 24 adults to read this text in the ornate font named Gigi. Here are their times (in seconds):
Do these data provide convincing evidence that it takes adults longer than 22 seconds, on average, to read these four paragraphs in Gigi font?
How much juice? One company's bottles of grapefruit juice are filled by a machine that is set to dispense an average of milliliters (ml) of liquid. A quality-control inspector must check that the machine is working properly. The inspector takes a random sample of bottles and measures the volume of liquid in each bottle.
state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest
Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: 鈥淵ou witness two students cheating on a quiz. Do you go to the professor?鈥� The Minitab output shows the results of a significance test and a 95% confidence interval based on the survey data.13
a. Define the parameter of interest.
b. Check that the conditions for performing the significance test are met in this case.
c. Interpret the P-value.
d. Do these data give convincing evidence that the population proportion differs from ? Justify your answer with appropriate evidence.
Teen drivers A state鈥檚 Division of Motor Vehicles (DMV) claims that
of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for teens; of them passed the test on their first try. Is there convincing evidence at the significance level that the DMV鈥檚 claim is incorrect?
Attitudes Refer to Exercise 4. In the study of older students鈥� attitudes, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. A significance test yields a P-value of 0.0101.
a. Explain what it would mean for the null hypothesis to be true in this setting.
b. Interpret the P-value.
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