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In: Statistics and Probability

A study of 90 workers following a new pre-work stretching exercise program was conducted. One of...

A study of 90 workers following a new pre-work stretching exercise program was conducted. One of the variables measured over the 4-week study was the increase in number of minutes worked in an hour. A previous program had produced an average increase of µ = 2 mins per hour. The company wants to evaluate whether the new program had increased µ in comparison
with the previous program. The study data yielded x̅= 2.17 and s = 1.05.

a. At the 5 percent level of significance, compare the new program to the previous one.

b. What is the probability of making a Type II error if the actual value of µ is 2.1 min per
hour?

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