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Chapter 9: Q.17 (page 547)
Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?
It is not known the significance atlevel.
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The reason we use procedures instead of procedures when carrying out a test about a population mean is that
(a) can be used only for large samples.
(b)requires that you know the population standard deviation .
(c) requires you to regard your data as an SRS from the population.
(d) applies only if the population distribution is perfectly Normal.
(e) can be used only for confidence intervals.
Your company markets a computerized device for detecting high blood pressure. The device measures an individual’s blood pressure once per hour at a randomly selected time throughout a 12-hour period. Then it calculates the mean systolic (top number) pressure for the sample of measurements. Based on the sample results, the device determines whether there is significant evidence that the individual’s actual mean systolic pressure is greater than 130. If so, it recommends that the person seek medical attention.
(a) State appropriate null and alternative hypotheses in this setting. Be sure to define your parameter.
(b) Describe a Type I and a Type II error, and explain the consequences of each.
(c) The blood pressure device can be adjusted to decrease one error probability at the cost of an increase in the other error probability. Which error probability would you choose to make smaller, and why?
Are TV commercials louder than their surrounding programs? To find out, researchers collected data on randomly selected commercials in a given week. With the television’s volume at a fixed setting, they measured the maximum loudness of each commercial and the maximum loudness in the first seconds of regular programming that followed. Assuming conditions for inference are met, the most appropriate method for answering the question of interest is
(a) a one-proportion z test.
(b) a one-proportion z interval.
(c) a paired t test.
Which of the following confidence intervals would lead us to reject H0 : in favor of
Ha :p not equal to at the significance level?
In planning a study of the birth weights of babies whose mothers did not see a
doctor before delivery, a researcher states the hypotheses as
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