Question

For each test, show the complete analysis, including: the hypotheses in correct notation, the calculation of the test statistic, the rejection decision using your choice of p-value or critical value approach -- be very precise, and a one-sentence statement that explains the implication of the test result.

In 2018, the U.S. Department of Labor reported the average hourly earnings for U.S. production workers to be $16.62 per hour (Bureau of Labor Statistics). A sample of 50 production workers during 2019 showed a sample mean of $17.09 per hour. Assuming the population standard deviation is σ = $1.50, can we conclude that there has been a statistically significant change in the mean hourly wage? Use α = 0.05.

Answer 1