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It is known that Stat 351 students spend, on average, 5 hours on the final exam with a standard deviation of 3.3 hours. a. (4pts) A sample of 100 students is selected. What is approximately the probability that the sample average of the number of hours studied for these students is greater than 4.9 ? (Round answers to 4 decimal points) Probability b. (2pts) it is known that the distribution of the number of hours spent on the final does not have any outliers, but is not normally distributed is this problematic when computing the probability in part a)? Yes, this probability cannot be approximated accurately unless the data is normally distributed No, the individual observations are approximately normal due to the central limit theorem No, the sample mean is approximately normal due to the centrat limit theorem No, the individual observations are approximately normal due to the law of large numbers No, the sample mean is approximately normal due to the law of large numbers
(3pts each) Five people have been on a diet for two weeks. After each week, each person measures their weight loss for that week The data are as follows (negative numbers indicate positive weight gain for that week): a. Compute the sample covariance between the Weeki and the Week 2 weight loss. Round your answer to four decimal ploces Sample Covariance: b. Compute the correlation between the Weekl and the Week 2 weight loss. Round your onswer to four decimal places Correlation:

We have to calculate that the sample average of the number of hours studied for a sample of 100 stud...

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