R10.1. Which procedure? For each of the following settings, say which inference procedure from Chapter 8, 9, or 10 you would use. Be specific. For example, you might say, “Two-sample z test for the difference between two proportions.” You do not need to carry out any procedures.(a) Do people smoke less when cigarettes cost more? A random sample of $500$ smokers was selected. The number of cigarettes each person smoked per day was recorded over a one-month period before a $30 %$ cigarette tax was imposed and again for one month after the tax was imposed.(b) How much greater is the percent of senior citizens who attend a play at least once per year than the percent of people in their twenties who do so?
Random samples of $100$ senior citizens and $100$ people in their twenties were surveyed.(c) You have data on rainwater collected at $16$ locations in the Adirondack Mountains of New York State. One measurement is the acidity of thewater, measured by pH on a scale of $0$ to $14$ (the pH of distilled water is $7.0$ ). Estimate the average acidity of rainwater in the Adirondacks.(d) Consumers Union wants to see which of two brands of calculator is easier to use. They recruit $100$ volunteers and randomly assign them to twoequal-sized groups. The people in one group use Calculator A and those in the other group use Calculator B. Researchers record the time required for each volunteer to carry out the same series of routine calculations (such as figuring discounts and sales tax, totaling a bill) on the assigned calculator.

Question

Accepted Answer

(a) For a mean difference, use a paired $t$ test.

(b) For a proportion difference, a two-sample $z$ interval is used.

(c) For the mean, one-sample $t$ interval.

(d) Mean difference $t$ interval with two samples.

Short Answer