According to the U.S. bureau of Labor Suppose a labor researcher want to test to

Question

According to the U.S. bureau of Labor Suppose a labor researcher want to test to workers from across the U.S. and gathers weekly eaming Assume the population standard deviation is S8532 and a 5% level of sgfcance Statistics, worker in July 2013 was $71223 from each worker. The resulting sample average is $723.58 whether this figure is still accurate. The researcher randomly selects 54 production What is your decision about the nuill hypothesis? o Fail to reject o Reject Conclude the null is supported Auestion 5of11 e?? O Type here to search

Explanation / Answer

Population standard deviation = $ 65.32

sample size n = 54

standard error of sample mean = 65.32/sqrt(54) = 8.8889

Test statistic

t = (723.56 - 712.23)/8.8889 = 1.275

Here critical value of t for 5% significance

tcritical   = 1.674

Here t < tcritical so we would fail to reject the null hypothesis. Option A is correct.

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