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1. A consumer researcher was asked to test a claim by a franchise swimming instruction program. Specifically, they claimed that they could teach the average

1.

A consumer researcher was asked to test a claim by a franchise swimming instruction program.

Specifically, they claimed that they could teach the average 7-year-old to swim across an

Olympic-size pool in less than 2 hours. The researcher arranged for eight randomly selected 7-

year-old children to take instruction at this school and kept a careful record of how long it took

each child. The times (in minutes) were 60, 120, 110, 80, 70, 90, 100, and 130. What should the

researcher conclude? Carry out a

t

test for a single sample (120 minutes is the "known"

population mean) using the .01 significance level.

1a)

What is the null hypothesis?

What is the research hypothesis?

1b)

What is the mean of the comparison distribution?

1c) What is the estimated standard deviation? What is the standard error?

1d)

Determine the cutoff score on the comparison distribution (

= 0.01).

1e)

Determine your sample's score on the comparison distribution.

1f)

Decide whether to reject the null hypothesis.

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