Question

In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, 80 hours per week. Recently, many groups have been studying whether or not the women’s movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 81 women were surveyed with the following results: the mean was 83 and the standard deviation was ten. Does it appear that the mean work week has increased for women? Use a 1% level of significance. (7 points) a. H0 : b. Ha : c. What is the test statistic? d. What is the p-value? e. Use the information found in parts (c) and (d) to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value. f. Indicate the correct decision, reason for it, and write an appropriate conclusion using complete sentences. i. α = ii. Decision: iii. Reason for decision: iv. Conclusion: g. According to the hypothesis test you conducted using this survey data, is there evidence that the mean work week has increased for women? (Please give a yes/no answer.)

Answer 1

Conclusion: There is evidence to conclude that the mean work week has increased for women.