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In: Statistics and Probability

One hundred students were given an Algebra test. A random sample of ten students was taken...

One hundred students were given an Algebra test. A random sample of ten students was taken out of class of 800 enrolled students. The time it took each student to complete the test is recorded below.

22.2, 23.7, 16.8, 18.3, 19.7, 16.9, 17.2, 18.5, 21.0, and 19.7

a. Find the mean, variance and standard deviation for this sample of ten students

b. Construct a 95% confidence interval for the population mean time to complete this Algebra test.

c. Test if the population mean time to complete the test is 22.5 minutes.

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