Confidence Interval Construction Using TI-84

This video tutorial demonstrates how to construct a confidence interval for the mean using a Student's t-distribution and a TI-84 calculator. It includes an example study on hypnotherapy's effect on sleep hours, showing how to enter data into the calculator and calculate the confidence interval. The video concludes with interpreting the results, estimating the true population mean sleep hours with 95% confidence.

What statistical method is used in this video to construct a confidence interval for the mean?

• F distribution

• Z distribution

• Student t distribution

• Chi-square distribution

In the hypnotherapy study, how many subjects were involved?

• 20

• 15

• 12

• 10

What is the degrees of freedom used in the hypnotherapy study?

• 11

• 10

• 13

• 12

Which option should be selected on the TI-84 to calculate the t-interval?

• Option 8

• Option 7

• Option 6

• Option 5

What is the confidence level entered into the TI-84 for this study?

• 0.90

• 0.85

• 0.95

• 0.99

What is the lower bound of the confidence interval calculated in the video?

• 8.163

• 8.500

• 9.000

• 9.803

What additional information does the TI-84 provide besides the confidence interval?

• Population standard deviation

• Population mean

• Sample variance

• Sample mean and standard deviation

What is the upper bound of the confidence interval calculated in the video?

• 9.000

• 8.163

• 10.000

• 9.803

What is the interpretation of the confidence interval in the context of the study?

• The true mean is not related to the interval.

• The true mean is between 8.163 and 9.803 hours with 95% confidence.

• The true mean is exactly 9.803 hours.

• The true mean is exactly 8.163 hours.

What is the main purpose of constructing a confidence interval in this study?

• To find the exact mean of the population

• To estimate the range in which the true population mean lies

• To calculate the population variance

• To determine the sample size