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In: Statistics and Probability

A tutoring company claims to deliver significantly greater test scores for their clients. The distribution of...

A tutoring company claims to deliver significantly greater test scores for their clients. The distribution of test scores are normal with a mean of 20.8 and a standard deviation of 4.8. (a). If we take a random sample of 5000 clients and find they have a sample mean test score of 21, does it suppport the company’s claim? (b). How would you feel if you paid for a tutoring course and you got a score that was only 0.2 over the average? (c). How do you think the result in part (a) will change if the sample size was only 50?

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