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Chapter 7: Q 38. (page 462)
More workers What sample size would be required to reduce the standard deviation of the sampling distribution to one-third the value you found in Exercise 36(b)? Justify your answer.
Sample size is.
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The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of square feet (ft2 ) and a standard deviation of ft2 . To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be.
a. Find the probability that the sample mean area is or less if the manufacturer’s claim is true.
b. Based on your answer to part (a), is there convincing evidence that the company is overstating the average area of its aluminum foil rolls?
At a particular college, of all students are receiving some kind of financial aid. The school newspaper selects a random sample of students and of the respondents say they are receiving some sort of financial aid. Which of the following is true?
You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions and then asked to reveal her attitude toward the product. You think there may be large differences in the responses of women who are employed and those who are not. Because of these differences, you should use
a. a block design, but not a matched pairs design.
b. a completely randomized design.
c. a matched pairs design.
d. a simple random sample.
e. a stratified random sample.
Sample minimums List all possible SRSS of size , calculate the minimum age for each sample, and display the sampling distribution of the sample minimum on a dotplot. Is the sample minimum an unbiased estimator of the population minimum? Explain your answer.
| COLOR | AGE |
| RED | |
| WHITE | |
| SILVER | |
| RED |
The central limit theorem is important in statistics because it allows us to use a Normal distribution to find probabilities involving the sample mean if the
a. sample size is reasonably large (for any population).
b. population is Normally distributed (for any sample size).
c. population is Normally distributed and the sample size is reasonably large.
d. population is Normally distributed and the population standard deviation is known (for any sample size).
e. population size is reasonably large (whether the population distribution is known or not).
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