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In: Statistics and Probability

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a...

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five students who recently took the exam are 570, 620, 710, 540 and 480. We want to find a 95% confidence interval of the population mean of SAT math scores.

A) Calculate the point estimate. (Round to four decimal places as​ needed.)

B) Calculate the sample standard deviation. (Round to four decimal places as​ needed.)

C) Calculate the standard error of the sample mean. (Round to four decimal places as​ needed.)

D) Calculate the t-critical value. (Round to four decimal places as​ needed.)

E) Calculate the margin of error. (Round to four decimal places as​ needed.)

F) Calculate the lower and upper bounds of the confidence interval. (Report your answer in the form "(lower, upper)" with the two numeric values rounded to two decimal places)

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orchestra answered 2 years ago
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