Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.

The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1How to determine the probability value?From the question, the given parameters about the distribution areMean diameter = 127Variance = 36 The actual data value, x = Less than 0.5The standard deviation is the square root of varianceSo, we haveStandard deviation = 6The z-score is calculated using the following formulaz = (x - mean value)/standard deviationSubstitute the given parameters in the above equationz = (0.5 - 127)/6Evaluatez = -21.08The probability is then calculated as:P(x > 0.5) = P(z > -21.08)From the z table of probabilities, we have;P(x < 0.5) = 1Hence, the probability is 1.0Read more about probability at:brainly.com/question/25870256#SPJ1