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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 130 millimeters, and a standard deviation of 6 millimeters. If a random sample of 33 steel bolts is selected, what is the probability that the sample mean would be greater than 130.6 millimeters? Round your answer to four decimal places.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 130

standard deviation = = 6

n = 33

=   = 130

= / n = 6 / 33 = 1.044

P( > 130.6) = 1 - P( < 130.6)

= 1 - P[( - ) / < (130.6 - 130) /1.044 ]

= 1 - P(z < 0.57)

Using z table,    

= 1 - 0.7157

= 0.2843


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