Chapter 9: Q. 1 (page 563)
Mr. Tabor believes that less than of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of students at the school.
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Teen drivers Refer to Exercise 51.
a. Construct and interpret a 95% confidence interval for the true proportion p of all teens in the state who passed their driving test on the first attempt. Assume that the conditions for inference are met.
b. Explain why the interval in part (a) provides more information than the test in Exercise 51.
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
Which of the following is not a condition for performing a significance test about an unknown population proportion p?
(a) The data should come from a random sample or randomized experiment.
(b) Individual measurements should be independent of one another.
(c) The population distribution should be approximately Normal, unless the sample size is large.
(d) Both np and n(1 - p) should be at least 10.
(e) If you are sampling without replacement from a finite population, then you should sample no more than 10% of the population.
AttitudesThe Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' attitudes toward school and study habits. Scores range from 0 to 200 . Higher scores indicate better attitudes and study habits. The mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school, on average. She gives the SSHA to an SRS of 45 of the over 1000 students at her college who are at least 30 years of age.
state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest
How much juice? Refer to Exercises 3 and 11 .
a. What conclusion would you make at the level?
b. Would your conclusion from part (a) change if a 5 \% significance level was used instead? Explain your reasoning.
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