An experimenter obtains on the basis of a sample of size 10

An experimenter obtains, on the basis of a sample of size 10, a 95% confidence interval estimate of mean height with confidence limits equal to 66 and 74 inches. Assuming his calculations are correct, this result also depends on which of the following assumptions:

A. The mean heights are normally distributed, the sample is random and the critical values were obtained from the t-distribution.

B. we have 95% confidence that a person’s height lies between 66 and 74 inches provided the data were randomly obtained and the critical values were obtained from a normal distribution.

C. we have 95% confidence that the population mean height lies between 66 and 74 inches provided the data were randomly obtained and the critical values were obtained from a t- distribution.

D. All of the above

True or False An experimenter obtains, on the basis of a sample of size 10, a 95% confidence interval estimate of mean height with confidence limits equal to 66 and 74 inches.

True or false: The sample mean is 70 inches.

Solution

Q1.

C. we have 95% confidence that the population mean height lies between 66 and 74 inches provided the data were randomly obtained and the critical values were obtained from a t- distribution

Q2. #True

mean height with confidence limits equal to 66 and 74 inches

Margin of Error = 74-66/2 = 4

Sample Mean = Lower Limit + ME = 66+4 = 70