In 1955, Life Magazine reported that a 25-year-old mother of three worked, on average, an 80 hour 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 the mean work week has increased. 71 women were surveyed with the following results. The sample mean was 83; the sample standard deviation was 10. Does it appear that the mean work week has increased for women at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Enter your answer in the form z or tar where df is the degrees of freedom.) O Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using thet distribution round your answers to three decimal places.) V ---Select--- - Part (1) What is the p-value? O p-value < 0.010 O 0.010 < p-value < 0.050 O 0.050 < p-value < 0.100 O p-value > 0.100 Explain what the p-value means for this problem. O If Ho is true, then there is a chance equal to the p-value that the average number of hours women work each week is not 83 hours or more. O If Ho is false, then there is a chance equal to the p-value that the average number of hours women work each week is not 83 hours or more. O If Ho is true, then there is a chance equal to the p-value that the average number of hours women work each week is 83 hours or more. O If Ho is false, then there is a chance equal to the p-value that the average number of hours women work each week is 83 hours. or more

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