Question

# Randomly selected statistics students of the author participated in an experiment to test their ability to...

Randomly selected statistics students of the author participated in an experiment to test their ability to determine when 60 seconds has passed. Forty students yielded a sample mean of

57.3 sec. Assume that the population standard deviation is σ = 8.5 sec.

1. a) Find the critical value zα /2 for a 82% confidence interval

2. b) Construct a 82% confidence interval estimate of the population mean of all statistics students. Use the z-table method.

3. c) Use TI84/83 calculator method.

4. d) Write a conclusion.

(a) The critical value zα /2 for a 82% confidence interval is 1.34.

(b) The 82% confidence interval estimate of the population mean of all statistics students is:

= x ± z*(σ/√n)

= 57.3 ± 1.34*(8.5/√40)

= 55.498, 59.102

The 82% confidence interval estimate of the population mean of all statistics students is between 55.498 and 59.102.

(c) The 82% confidence interval estimate of the population mean of all statistics students is between 55.50 and 59.10.

(d) We are 82% confident that the true population mean of all statistics students is between 55.50 and 59.10.

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