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II. In 2006, the average U.S. production employee worked 38.9 hours per week. An

ID: 3020741 • Letter: I

Question

II. In 2006, the average U.S. production employee worked 38.9 hours per week. An assistant in the human resources department of Acme Eyebolts, Inc., is curious as to how the workers in her company compared to this figure during the first week of this month. The assistant will be reaching her conclusions based on a simple random sample of 30 data values out of the 300 Acme workers’ weekly hours listed in file XR04073. Help the assistantby generating the simple random sample and computing its mean (hint: compute descriptive statistics for the sample). Based on the sample, compare the Acme workweek with that of production workers nationally. Source: Statistical Abstract of the United States 2009, p. 409.

hours 41.1 40.8 41.4 39.4 45.8 47.7 43.5 41.7 45.0 48.6 47.0 46.7 41.1 42.8 44.0 46.3 43.2 44.1 38.9 44.0 45.5 45.3 43.8 46.5 42.9 39.8 46.0 41.1 40.0 42.3 47.1 42.4 39.5 43.0 44.7 41.7 46.9 40.9 43.2 43.6 39.8 39.2 41.3 45.5 43.3 39.4 48.7 41.0 45.5 42.1 43.0 42.6 40.6 40.2 43.9 39.3 44.9 39.5 41.5 43.9 42.6 43.5 41.2 47.4 42.4 43.4 41.2 43.8 42.5 42.0 42.0 44.2 45.2 36.9 41.1 45.5 39.7 38.2 39.4 42.4 44.8 48.1 41.1 41.6 41.3 40.3 47.0 42.0 42.5 43.9 40.5 42.0 42.6 42.5 44.0 45.1 42.0 43.7 41.1 45.3 37.7 41.7 42.9 45.6 39.5 42.4 38.7 43.1 44.6 42.8 44.2 44.9 43.8 43.8 37.8 40.0 44.1 45.5 38.9 47.2 40.6 40.3 42.7 43.2 42.4 42.9 43.7 44.6 45.0 43.2 44.5 40.5 42.6 44.9 41.9 46.6 38.3 45.2 48.2 42.2 41.9 41.6 43.0 41.1 41.4 42.4 42.4 40.5 40.5 44.7 43.4 41.6 37.3 41.6 41.9 38.9 42.0 43.0 43.7 44.3 47.0 44.2 41.8 42.4 46.9 42.3 36.4 44.0 38.0 42.4 43.3 40.7 41.1 42.3 43.7 42.9 37.3 44.5 43.6 44.7 41.8 42.5 42.3 43.4 47.1 44.9 41.4 45.3 47.2 37.6 40.4 44.3 40.4 41.0 41.8 38.8 41.8 44.1 43.2 43.9 42.8 39.6 41.8 41.5 40.5 41.1 44.4 40.6 44.3 38.5 42.5 40.3 42.2 44.7 41.7 43.9 40.9 41.9 43.6 41.5 39.9 42.9 40.9 39.9 48.0 45.6 43.1 41.9 45.4 46.4 41.1 37.8 39.3 43.7 40.2 45.3 43.7 43.1 41.2 46.3 46.9 38.8 41.1 40.8 43.2 41.1 41.2 46.4 45.5 43.7 44.3 44.6 43.7 41.0 44.5 42.2 43.2 47.3 47.6 38.7 40.7 44.0 38.5 43.3 41.4 41.2 43.5 44.9 41.1 43.7 36.0 44.1 39.5 41.5 40.7 42.2 43.9 40.4 44.3 43.3 43.8 41.4 42.4 35.8 44.1 47.2 43.7 40.5 42.6 43.4 42.1 37.0 41.8 41.8 45.7 47.9 43.5 48.0 37.9 36.6

Explanation / Answer

I have taken a random sample of 50 people out of the given 300 points.

The data is :

The descriptive statistics for the above sample is as shown below:

The sample mean shows that the average work hours of employees over here is higher than the national average

Hope this helps.

45.2 44.6 42.8 44.1 44.1 41.1 39.8 42.6 38.8 43.2 43.9 38.8 38.9 42.7 40.5 42.2 46.3 41.2 43.6 47.6 42.6 44.2 43.8 42.5 43.2 42.6 43 41.4 43.9 41.9 47.9 43.8 43.3 45.5 40.7 45.5 43.8 40.3 42 43.1 43.2 36.4 43.2 44.8 40.4 38.8 35.8 44.2 42.9 47