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A sample of 30 values is randomly selected from a large data set. Sample mean is

ID: 3158504 • Letter: A

Question

A sample of 30 values is randomly selected from a large data set. Sample mean is 11.091 with standard deviation 14.405. Find 90% confidence interval of the mean. Write the upper limit of the interval in the answer field round to two decimal places. A principal at a certain school claims that the students in his school are above overage intelligence. A random sample of thirty students IQ scores have a mean score of 112. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15. Alpha level is 5% (0.05). Find the test statistic, round to two decimal places.

Explanation / Answer

Q9

alpha / 2 = 0.05 df= 29 t =1.699

I: 11.091 +/- 1.699 * 14.405 / srqt 30

11.091 +/- 4.468

6.62 < miu < 15.56

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