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An accounting firm is planning for the next tax preparation season. From last year's returns, the...

An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings. The 100 filings showed an average preparation time of 90 minutes with a standard deviation of 140 minutes. What is the probability that the mean completion time is between 1 and 2 hours, i.e., 60 and 120 minutes?
D. 0.9676

How do I get this number 0.9676

Thanks

math   Statistics-And-Probability   
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Answer #1

Need to find P(60 < x < 120) = ?

z = (60 - 90)/(140/sqrt(100)) = -2.1428
z = (120 - 90)/(140/sqrt(100)) = 2.1428

P(60 < x < 120) = P(-2.1428 < z < 2.1428)
= 0.9678 (Ans.)

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