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1. Before the hiring of an efficiency expert, the mean productivity of a firm's employees was 45.4 units per hour, with a standard deviation of 4.5 units per hour. After incorporating the changes recommended by the expert, it was found that a sample of 30 workers produced a mean of 47.5 units per hour. Using the 0.01 level of significance, can we conclude that the mean productivity has increased?
2. The average U.S. family includes 3.13 persons. To determine whether families in her city tend to be rep- resentative in size compared to those across the United States, a city council member selects a simple random sample of 40 families. She finds the average number of persons in a family to be 3.40, with a standard deviation of 1.10. Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 52.
a. Using a nondirectional hypothesis test and a level of significance of your choice, what conclusion would be reached?
b. For the significance level used in part (a), construct the appropriate confidence interval and verify the conclusion reached in part (a).
Find a 99%. confidence interval for the difference between the average grades for the two courses. Assume the populations to be approximately normally distributed with equal variances.
What proportion of homes subscribe to Internet service from Ashland and would you say this portion is small, medium, or large - what proportion of homes that are using Ashland's Internet service have Basic cable service?
Testing Hypothesis Using Chi Square Test
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you wish to test the claim that u gt 11 at a level of significance of ? 0.05 and are given sample statistics n 50
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