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A manufacturer of floor mops would like his product to last 700 hours, on the average. He hopes the mean number of hours is not a lot less than 700 (people will not continue to buy his product) or a lot more than 700 (people would seldom have to buy the product). However, the manufacture has reason to believe the mean may have changed. A random sample of 48 items shows that X (bar) = 675 and s = 77 hours.

a) Complete the test at the 5% level of significance.

b) What type of error may have been made?

c) What is the probability of committing this error?

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Category:- Statistics and Probability
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