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2. A computer company that recently introduced a new software product claims that the mean time it takes to learn how to use this software

2. A computer company that recently introduced a new software product claims that the mean time it takes to learn how to use this software is not more than 2 hours for people who are somewhat familiar with computers. A random sample of 12 such persons was selected. The following data give the times taken (in hours) by these persons to learn how to use this software. 1.75 2.25 2.40 1.90 1.50 2.75 2.15 2.25 1.80 2.20 3.25 2.60 Assume that the times taken by all persons who are somewhat familiar with computers to learn how to use this software are approximately normally distributed and the population standard deviation is 1 hour.a. Test at the 1% significance level whether the company's claim is true. b. construct a 95% confidence interval for the mean time it takes to learn how to use this software

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