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Chapter 8: Q 82. (page 544)
You have an SRS of observations from a large population. The distribution of sample values is roughly symmetric with no outliers. What critical value would you use to obtain a confidence interval for the mean of the population?
a.
b.
c.
d.
e.
Option (e) is correct.
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Fun size candyA candy bar manufacturer sells a 鈥渇un size鈥� version that is advertised to weigh grams. A hungry teacher selected a random sample of fun size bars and found a confidence interval for the true mean weight to be grams to grams.
a. Does the confidence interval provide convincing evidence that the true mean weight is different than grams? Explain your answer.
b. Does the confidence interval provide convincing evidence that the true mean weight is grams? Explain your answer.
Rating school food Latoya wants to estimate the proportion of the seniors
at her boarding school who like the cafeteria food. She interviews an SRS of of the seniors and finds that think the cafeteria food is good.
How many pairs of shoes, on average, do female teens have? To find out, an AP Statistics class selected an SRS of female students from their school. Then they recorded the number of pairs of shoes that each student reported having. Here are the data:
Price cuts (4.2) Stores advertise price reductions to attract customers. What type of price
cut is most attractive? Experiments with more than one factor allow insight into
interactions between the factors. A study of the attractiveness of advertised price discounts
had two factors: percent of all foods on sale (25%, 50%, 75%, or 100%) and whether the discount was stated precisely (e.g., as in 鈥�60% off鈥�) or as a range (as in 鈥�40% to 70% off鈥�). Subjects rated the attractiveness of the sale on a scale of 1 to 7.
a. List the treatments for this experiment, assuming researchers will use all combinations of the two factors.
b. Describe how you would randomly assign 200 volunteer subjects to treatments.
c. Explain the purpose of the random assignment in part (b).
d. The figure shows the mean ratings for the eight treatments formed from the two factors.35 Based on these results, write a careful description of how percent on sale and precise discount versus range of discounts influence the attractiveness of a sale.
A school of fish Refer to Exercise 74.
a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.
b. According to the packaging, there are supposed to be goldfish in each bag of crackers. Based on the interval, is there convincing evidence that the average number of goldfish is less than ? Explain your answer.
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