A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. Using this data to obtain a 95% confidence interval resulted in an interval from 47.19 to 52.61. True or False: 95% of all confidence intervals constructed similarly to this one with a sample size of 10 will contain the mean of the population.

Question

Mathematics

Emery Maldonado

19 March, 12:02

A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. Using this data to obtain a 95% confidence interval resulted in an interval from 47.19 to 52.61. True or False: 95% of all confidence intervals constructed similarly to this one with a sample size of 10 will contain the mean of the population.

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Josie Jacobs · Answer 1

True.

95% of all confidence intervals constructed similarly to this one with a sample size of 10 will contain the mean of the population.

Step-by-step explanation:

True.

The confidence level represents the proportion of possible confidence intervals that contain the true mean. In this case, 95% of all confidence intervals of sample size n=10 constructed similarly to this one will contain the population mean.