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5. In an effort to explain different ratings, a television network executive decides to research the number of commercials. A random sample of 8 one-hour programs was monitored from each of two major networks. The data below reflect the time in minutes of commercials for each of the 16 shows. Network 1 15.2 14.3 16.7 17.8 13.9 15.0 16.3 14.7 Network 2 17.1 18.3 14.7 13.9 14.6 15.4 16.0 16.3 Suppose 1 denotes the mean commercial time for network 1 and #2 denotes the mean commercial time for network 2. Can the executive suppose that the number of commercials on both networks is sufficiently the same? Use the a = 0.5 level. Assume both population distributions are normal and have equal variances. Formulate null hypothesis: Alternative hypothesis: Test Statistic: Give your answer to three decimal places. Critical value(s): Conclusion: 6. A pasta company claims that the variability (standard deviation) in the shelf life of their product is at most 5 days. A random sample of 25 packages of pasta yielded a standard deviation of 6 days. Test the company's claim using a 95% confidence level. Assume the distribution is normal. Formulate null hypothesis: Alternative hypothesis: Test Statistic: Give your answer to two decimal places. Critical value(s): Conclusion