4. How productive are employees? One way to answer this question is to study annual company profits per employee. Let x1 represent annual profits per employee in computer stores in Takoradi. A random sample of n1 = 11 computer stores gave a sample mean of x?1 = 25.2 thousand dollars profit per employee with sample standard deviation s1 = 8.4 thousand dollars. Another random sample of n2 = 9 building supply stores in Takoradi gave a sample mean x?2 = 19.9 thousand dollars per employee with sample standard deviation s2 = 7.6 thousand dollars. Does this indicate that in Takoradi, computer stores tend to have higher mean profits per employee? Use ? = 0.01. Five members of the college track team in Takwa (elevation 5,200 feet) went up to Cape Coast (elevation 10,152 feet) for a track meet. The times in minutes for these team members to run 2 miles at each location are shown below: Team member Ojai Edgar Euclid Seymour Sylvia Takwa 10.7 9.1 11.4 9.7 9.2 Cape Coast 11.5 10.6 11.0 11.2 10.3
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We want to determine if computer stores have higher mean profits per employee than building supply stores. So, our null hypothesis (H0) is that the mean profits per employee are the same for both types of stores, and our alternative hypothesis (H1) is that the Show more…
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The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week. She finds that East Coast group ships an average of 1299 parts and knows the population standard deviation to be 350. The Midwest group ships an average of 1456 parts and knows the population standard deviation to be 297. Using a 0.01 level of significance, test if there is a difference in productivity level. What is the p-value? (Round to four decimal places) p-value =
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