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2. SAIS Career Services is interested in providing students with an estimate of the difference between average weekly hours at investment banks and tech rms.

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2. SAIS Career Services is interested in providing students with an estimate of the difference between average weekly hours at investment banks and tech rms. To do so, they take independent random samples of average weekly hours for 13 rms in each industry. These data are depicted in the table below. Assume the underlying population distribution of hours worked is normal. a) What is the point estimate of the difference between population mean hours worked for these two industries? b) Test whether there is a statistically signicant difference at the 90 percent condence level in the mean hours worked for these two industries using both the critical value and p-value approach. (NOTE: THE LINE BETWEEN OBSERVATIONS 71.8 AND 57.2 IS ARBITRARY. IGNORE IT) Sum: 813 Sum: 6'78 Mean: 62.54 Mean: 52.15

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