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The supervisor of a production line believes that the average time to assemble an electronic component is 14 minutes.Assume that assembly time is normally distributed with a standard deviation of 3.4 minutes.The supervisor times the assembly of 14 components,and finds that the average time for completion is 11.6 minutes.
-What is the z-value for a two-sided test of hypothesis for a population mean when the probability of rejecting a true null hypothesis is equal to .05?
A)1.645
B)2.330
C)1.960
D)2.575

Question

Quizplus · Accepted Answer

Since we want a two-sided test, we will split the probability of .05 into two tails (.025 in each tail). Using a standard normal distribution table or calculator, we can find the z-value that corresponds to a tail probability of .025, which is 1.96. Therefore, the z-value for a two-sided test with a probability of rejecting a true null hypothesis equal to .05 is 1.96.

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