Use technology to construct the confidence intervals. Assume the population of t

Question

Use technology to construct the confidence intervals. Assume the population of times is normally distributed.

A research council wants to estimate the mean length of time (in minutes) the average U.S. adult spends watching TVs using digital video recorders (DVRs) each day. To determine this estimate, the research council takes a random sample of 20 U.S. and obtains the following results.

15, 18, 17, 20, 24, 12, 9, 15, 14, 25, 8, 6, 10, 14, 16, 20, 27, 10, 9, 13

Find the lower bound (round to 2 decimal places) of the 99% of the confidence interval for the population mean.

a) 11.34

b) 18.86

c) 9.22

d) 15.1

Explanation / Answer

By using ti-84 we can solve this question easily.

First enter data into ti-84

Path is Click on STAT ---------> Edit --------> enter values in to L1

Then click on STAT ------> TESTS -----------> TInterval ---------->

List: L1

Freq: 1

C-Level : 0.99

Calculate

So we get Confidence interval ( 11.34 , 18.86)

So lower bound is a) 11.34

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