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.

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.