Question

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labour Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

1.
2.
3.

Choose correct answer from above choice
- Select your answer -123Item 1

State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

1.
2.
3.

Choose correct answer from above choice
- Select your answer -123Item 2

b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places.

c. With  = 0.05 as the level of significance, what is your conclusion?

p-value  Select>≤Item 4 0.05,  Selectrejectdo not rejectItem 5 H ₀. We  Selectconcludecannot concludeItem 6 that the population mean hourly wage for manufacturing workers  Selectis significantly greater thanis significantly less thandiffers significantly fromItem 7 the population mean of $24.57 for the goods-producing industries.

d. Repeat the preceding hypothesis test using the critical value approach. Round your answer to two decimal places. Enter negative values as negative numbers.

z =  ; - Select your answer -cannot rejectrejectItem 9 H ₀

Answer 1

Given that

Mean hourly wage for employees in goods producing industries is currently