Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 140140 millimeters, and a standard deviation of 88 millimeters. if a random sample of 4949 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4141.4 millimeters? round your answer to four decimal places.

Question

Jada Charles

Mathematics

22 April, 03:01

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 140140 millimeters, and a standard deviation of 88 millimeters. if a random sample of 4949 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4141.4 millimeters? round your answer to four decimal places.

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Answers (1)

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Karli Wade · Answer 1

To solve this, we need to use the z test. The formula for z score is:

z = (x - u) / s

where x is sample value = 141.4 mm and above, u is mean value = 140 mm, s is standard dev = 8 mm.

z = (141.4 - 140) / 8

z = 0.175

From the standard probability tables, the p value at z = 0.175 using right tailed test is:

P = 0.4306