Question

1-5

Imagine you wish to determine whether the mean number of hours worked per week by women in a sample differs from the national 40-hour average. Use this information and the table below to test your hypothesis. Weekly Hours Worked Women Range 60 Minimum value Maximum value 65 Mean 41.5 Standard deviation 10.00 Number of observations 1 1 - Make three necessary assumptions. Assumption #1: Assumption #2: Assumption #3: 2-State the null and research hypotheses (use an alpha level of .05). Null: Research: 3 - Select the sampling distribution and specify the test statistic. Distribution: Statistic: 4 - Compute the test statistic. Test statistic: 5- Make a decision and interpret the results.

Answer 1

(1) Assumption #1: The observations are independent of one another. Assumption #2: The dependent variable should be aproximately normally distributed. Assumption #3: The dependent variable must be continuous. (2) Null hypothesis: Ho: 4 = 40 That is, the mean number of hours worked per week by women in a sample is 40-hour. Research hypothesis: H :440 That is, the mean number of hours worked per week by women in a sample differs from the national 40-hour average. (3)

Distribution: Approximately normal. Statistic t-X-4 EXCEL (PH Stat) output:

t Test for Hypothesis of the Mean 0.05 Data Null Hypothesis = Level of significance Sample Size Sample Mean Sample Standard Deviation 41.5 10 1.2804 Intermediate Calculations Standard Error of the Mean Degrees of Freedom t Test Statistic 1.1715 Two-Tail Test Lower Critical Value -2.0003 Upper Critical Value 2.0003 p-Value 0.2460 Do not reject the null hypothesis Test Statistic: t =1.1715.

Since teac (=1.1715) <terit ( = 2.003), then do not reject the null hypothesis. Therefore, the mean number of hours worked per week by women in a sample is 40-hour.