In a survey sample of 83 respondents, the mean number of hours worked per week is 39.04, with a standard deviation of 11.51. calculate a 95 percent confidence interval for these data, and interpret your result.

We are 95% confidence that the respondents  are worked between 36.57 hours and 41.51 hours.

Explanation:

Since we have given that

Number of respondents in a survey sample = 83

Mean number of hours worked per week = 39.04

Standard deviation = 11.51

Now, we'll calculate standard error of mean is given by

95% of confidence interval is given by

Hence, we are 95% confidence that the respondents  are worked between 36.57 hours and 41.51 hours.

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative