CB.Stats.VAR-7.E: Calculate an appropriate test statistic for a population mean, including the mean difference between values in matched pairs.

Calculate an appropriate test statistic for a population mean, including the mean difference between values in matched pairs.

Example Problems

A smoothie shop advertises that each smoothie contains

16

fluid ounces. A customer group suspects the mean is lower and obtains a random sample of

36

smoothies. They find a sample mean of

15.7

fluid ounces with a sample standard deviation of

1.2

fluid ounces.

The group wants to use these sample data to conduct a

t

test on the mean. Assume that all conditions for inference have been met.

Calculate the test statistic for their test.

A basketball team's coach has tracked that players average

18

points per game. The coach tries a new offensive scheme and wants to test if it changes the mean points per game. She takes a random sample of

16

games and finds a sample mean of

15

points with a sample standard deviation of

4

points.

The coach wants to use these sample data to conduct a

t

-test on the mean. Assume that all conditions for inference have been met.

Calculate the test statistic for her test.

A soccer coach knows the mean amount of time her team spends at practice is

90

minutes. She introduces a new warm-up routine and wants to test if it changes the mean practice time. She takes a random sample of

25

practices and finds a mean time of

96

minutes with a sample standard deviation of

15

minutes.

The coach wants to use these sample data to conduct a

t

test on the mean. Assume that all conditions for inference have been met.

Calculate the test statistic for her test.

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