Perform a Hypothesis Test for the Population Mean

question 54

Essay

Perform a hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable toapply the z-test. Use the critical-value approach.
-A manufacturer makes steel bars that are supposed to have a mean length of 50 cm. A retailer suspects that the bars are running too long. A sample of 37 bars is taken and their mean length is determined to be 51 cm. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is greater than 50 cm. Assume that the population standard deviation is 3.6 cm.

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