Question

The following table shows the average hourly wage rates or day-care centers from two locations based on two random samples. Use the table to complete parts a through c Location 1 Location 2 Sample mean Sample standard deviation Sample size $9.61 $1.28 27 $8.65 $1.25 34 a. Per or a hypothesis test using α =0.10 to determine e average hourly wage or day-care workers n Location 1 s $0.50 per hour higher than the average houry wage or day-care workers in Location 2 Assume the population variances for wage rates in each location are equal. Determine the null and alternative hypotheses for the test. Ho:H5-H2| |$0.50 H1 : μι_H2| |$0.50 Calculate the appropriate test statistic and interpret the result. The test statistic is Round to two decimal places as needed.) The critical value(s) is(are) Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic the null hypothesis. b. Identify the p-value from part a and interpret the result The p-value is Round to three decimal places as needed.)

Answer 1

(a)

The test statistics is

t = 1.41

The critical value is: 1.30

Since t lies in rejection region, we reject the null hypothesis.

(b)

The p-value is 0.0815