Chapter 08, section 8.2, Intelligent Tutoring Problem 011 Solve the question aga

Question

Chapter 08, section 8.2, Intelligent Tutoring Problem 011 Solve the question again using different set of values. For a data set obtained from a sample of size n = 81 with X = 47.75, it is known that = 5.0. (a) what is the point estimate of ? (b) Find z score corresponding to a 95% confidence level, Zo/2. Recall that (1-)100%-95%. Round the answer to two decimal places. (c) Construct a 95% confidence interval for Round the answers to four decimal places (d) What is the margin of error in part (c)? Round the answer to four decimal places. Click if you would like to Show Work for this question: Open Show Work

Explanation / Answer

A) point estimate = 47.75

B) Z = 1.96

C) Margin of error = z * sd / sqrt (n)

= 1.96 * 5 / sqrt(81)

= 1.0889

Confidence interval = 47.75 - 1.0889 < mu < 47.75 + 1.0889

= 46.6611 < mean < 48.8389

D) Margin of error = 1.0889

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