Question

Match the type of interval or test you would perform for the given scenario.

Do more people attend art museums on rainy days than on sunny days? Attendance numbers at the city museum of art were examined for 100 rainy days and 300 sunny days.

Are hokey players getting taller? The average height of hockey players has been 68.3 inches. A random sample of 14 hockey players gave a mean height of 69.1 inches with a standard deviation of 0.9 inch.

What percent of parolees return to prison because of parole violations? 800 parolees were tracked.

A new surgery technique boasts of a small incision size. The technique was used on 90 patients. Estimate the mean incision size.

Do people spend more time watching television than they read? 75 people were asked how many minutes they spent watching television and how many minutes they read.

Are freshman more likely to be on honor roll? At a local four-year college, 37% of the student body are freshmen. A random sample of 42 student names taken from the Dean’s Honor List over the past several semesters showed that 17 were freshmen. Does this indicate the population proportion of freshmen on the Dean’s Honor List is more than 37%?

Matching choices

t-test for the difference in two means (independent samples)

t-test for paired data (dependent samples)

One-sample proportion test

One-sample t test for a mean

Confidence interval for a one-sample mean

Confidence interval for a one-sample proportion

Answer 1

Do more people attend art museums on rainy days than on sunny days? Attendance numbers at the city museum of art were examined for 100 rainy days and 300 sunny days.

Ans: t-test for the difference in two means (independent samples)

Are hokey players getting taller? The average height of hockey players has been 68.3 inches. A random sample of 14 hockey players gave a mean height of 69.1 inches with a standard deviation of 0.9 inch.

Ans: One-sample t test for a mean

What percent of parolees return to prison because of parole violations? 800 parolees were tracked.

Ans :  Confidence interval for a one-sample proportion

A new surgery technique boasts of a small incision size. The technique was used on 90 patients. Estimate the mean incision size.

Ans: Confidence interval for a one-sample mean

Do people spend more time watching television than they read? 75 people were asked how many minutes they spent watching television and how many minutes they read.

Ans : t-test for paired data (dependent samples)

Are freshman more likely to be on honor roll? At a local four-year college, 37% of the student body are freshmen. A random sample of 42 student names taken from the Dean’s Honor List over the past several semesters showed that 17 were freshmen. Does this indicate the population proportion of freshmen on the Dean’s Honor List is more than 37%?

Ans : One-sample proportion test