Inference Method? (4)

The owners of a large shopping complex wondered if there was a relationship between how customers traveled to the complex and whether or not they made a purchase. They observed a random sample of 100 customers and categorized each of them based on transportation method and whether or not they made a purchase.

• A t-test for slope

• A χ2 test for homogeneity

• A two-sample z-test for a proportion

• A χ2 test of independence

• A χ2 goodness of fit test

Harisha is studying housing costs in his area. He wants to estimate how much monthly rent for an apartment tends to increase as the size of the apartment increases. He takes a random sample of apartments in his area and records the monthly cost of rent and the size (in square meters) of each apartment.

• A t-interval for slope

• A two-sample t-interval for the difference of means

• A z-interval for a proportion

• A paired t-interval for the mean difference

• A two-sample z-interval for the difference of proportions

Angelica surveyed 150 people in the 20-29 age group and 150 people in the 30-39 age group about whether or not they were vegetarian. She wants to estimate the difference between the percentage of people in each group who are vegetarian.

• A t-interval for a mean

• A two-sample z-interval for the difference of proportions

• A t-interval for slope

• A two-sample t-interval for the difference of means

• A z-interval for a proportion

Tags

CCSS.HSS.IC.B.4

A school counselor suspects that, on average, students at their school are sleeping less than 8hours per night. They survey a random sample of students about how many hours they slept the previous night to see if their average sleep amount is significantly less than 8 hours.

• A paired t-test for the mean difference

• A two-sample t-test for the difference of means

• A two-sample z-test for the difference of proportions

• A z-test for a proportion

• A t-test for a mean

The coach of a swimming team wonders if a new swim cap will make their team swim faster than their existing caps. The coach has each swimmer complete two laps—one with the new cap and one with their existing cap (in a random order). They want to test if, on average, the times are lower with the new caps.

• A t-test for slope

• A χ2 test of independence

• A two-sample t-test for the difference of means

• A two-sample z-test for the difference of proportions

• A paired t-test for the mean difference

Lylah created an app, and she recently updated the app. She randomly samples a group of users to estimate what percentage of all users are using the updated version.

• A paired t-test for the mean difference

• A z-test for a proportion

• A t-test for a mean

• A z-interval for a proportion

• A t-interval for a mean

Tags

CCSS.HSS.IC.B.4