The average hourly wage of computer programmers with 2 years of experience has been $21.80. Because of high demand for computer programmers, it is believed there has been a significant increase in the average wage of computer programmers. To test whether or not there has been an increase, the correct hypotheses to be tested are A) H0: μ 21.80 Ha: μ ≤ 21.80 D) H0: μ ≤ 21.80 Ha: μ 21.80

Question

The average hourly wage of computer programmers with 2 years of experience has been $21.80. Because of high demand for computer programmers, it is believed there has been a significant increase in the average wage of computer programmers. To test whether or not there has been an increase, the correct hypotheses to be tested are
A) H0: μ < 21.80 Ha: μ ≥ 21.80
B) H0: μ = 21.80 Ha: μ ≠ 21.80
C) H0: μ > 21.80 Ha: μ ≤ 21.80
D) H0: μ ≤ 21.80 Ha: μ > 21.80

Quizplus · Accepted Answer

To test whether there has been a significant increase in the average wage of computer programmers, we need to check if the population mean (μ) is greater than the current average wage of $21.80. Hence, the null hypothesis (H0) should be that the population mean is less than or equal to $21.80 (μ ≤ 21.80) and the alternative hypothesis (Ha) should be that the population mean is greater than $21.80 (μ > 21.80). Therefore, the correct set of hypotheses is H0: μ ≤ 21.80 and Ha: μ > 21.80, which corresponds to option D.

The Average Hourly Wage of Computer Programmers with 2 Years