Question

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean...

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145 millimeters, and a standard deviation of 7 millimeters.

If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would be greater than 141.5 millimeters? Round your answer to four decimal places.

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 145

standard deviation = = 7

n = 31

= 145

= / n = 7 / 31

P( > 141.5) = 1 - P( < 141.5)

= 1 - P[( - ) / < (141.5 - 145) / 7 / 31 ]

= 1 - P(z < -2.78)

= 0.9973

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