For which of the following situations would this question be an appropriate question: “Does the amount of homework correlate to students’ scores?”

A potter is working on creating clay pots. The mean height of the pots thrown is 10 inches with a standard deviation of 1.5 inches. What is the probability that a randomly selected pot is between 10.5 and 10.75 inches?

The finishing times for a track race had an mean of 26.3 seconds with a standard deviation of 0.25 seconds. Between what two values will the middle 33% of the data fall?

You conduct a survey to find out what proportion of people in your town eat bagels. You stand outside the bakery and ask passers-by if they eat bagels. Which of the following are true?

I. Your results contain no bias since you are not specifically asking people in the bakery; some of the people are passing by and not going in.

II. The results could be biased because a higher proportion of people in that area are going to the bakery.

III. Your results contain no bias as long as you pick a random day.

IV. It would have been better to take the phone numbers of all the passers-by and select from them randomly and call them.

A random sample of 100 high school students is taken from the population of students in a given state, for which the overall proportion of students with a driver’s license is 0.45. There is a 68% chance that the sample proportion falls between what two values?

A video game company is looking at data regarding how many people play its flagship game, and comparing that data between two countries. In country A, 60% of people play the game; in country B, 52% of people play. The survey will ask 400 people, 200 chosen at random from each country, whether or not they play the game.

What are the mean and standard deviation of the difference between the proportions of people who play the game in each sample?

For a given population of students, foot length is normally distributed with a mean of 8 inches and a standard deviation of 0.25 inches. A researcher is taking samples of 40 students. What are the mean and standard deviation of the sample mean?

A new species has been discovered and researchers are comparing two separate populations on different continents. The height of population A is 20 inches with a standard deviation of 0.8 inches. The height of population B is 22 inches with a standard deviation of 1.2 inches.

What are the mean and standard deviation for the difference in sample means with samples of size 100?

Which of the following statements are true about the Central Limit Theorem?

I. It requires the samples to be independent of each other.

II. It requires the samples to be taken without replacement.

III. When the sample size is sufficiently large, a sampling distribution of the mean of a random variable will be distributed in the same way as the population.

IV. The sampling distribution of a statistic can be simulated by generating repeated random samples from a population.

Data is collected on a sample of 20 students with a population proportion of 0.4 student-athletes. Can the sampling distribution be described as approximately normal?