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mr. crandall has assigned a term paper due at the end of the semester. he would like to know the average length of the paper. the data below are the numbers of typed pages from a random sample of 10 term papers. what type of critical value is needed to create a 95% confidence interval for the population mean length of all term papers for this class?

Sagot :

There is a 95% chance that the mean length of all term papers lies between confidence limits (11.58,17.82) for the given data:

14, 20, 25, 10, 16, 8, 15, 12, 18, 9

We assume the length of paper has an approximately normal distribution.

Sample size = 10

The sample mean for the given data = 14.7

The standard deviation for the given data = 5.04

Critical value is obtained from standard normal distribution at the level of significance 0.05.

The critical value is 1.96.

The 95% confidence interval for the mean length of all term papers is calculated as follows:

P(14.7 - (1.96 x (5.04/√10)) < µ < 14.7 + (1.96 x (5.04/√10))) = 0.95

P(11.58 < µ < 17.82) = 0.95

To know more about Critical value here:

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