Question

# The Student Government Association is interested in an estimate of the mean number of hours students...

The Student Government Association is interested in an estimate of the mean number of hours students work per week. They take a simple random sample of 89 students. The data they collected can be found in the column labeled “Number of hours worked per week”. Use the sample data to construct a 95% confidence interval for the mean number of hours worked. Write one or two sentences to communicate to the Student Government Association the estimate and the margin of error.

 Student Number of hours worked per week 1 6.3 2 30.1 3 15.8 4 29.1 5 22.6 6 13.8 7 25.4 8 13.1 9 25.4 10 25.3 11 20.6 12 31.2 13 18.1 14 38.1 15 22 16 33.1 17 15.7 18 33.9 19 21.8 20 22.5 21 27.1 22 25.8 23 25.9 24 17.2 25 28.1 26 16.8 27 24.8 28 37 29 15.9 30 12.6 31 34.7 32 23.7 33 31.8 34 17.7 35 19 36 35 37 33 38 10.8 39 24.5 40 26.9 41 31.8 42 22.2 43 21.8 44 26.1 45 25.7 46 31.4 47 25.5 48 18.1 49 31 50 19.8 51 15.9 52 16.8 53 25.4 54 21.3 55 25 56 20.2 57 4.8 58 37.2 59 19.4 60 15.7 61 18.1 62 13.3 63 31.7 64 19 65 23.6 66 28.4 67 17.1 68 26.7 69 7.1 70 44.7 71 31.2 72 32.7 73 15.9 74 19.4 75 25.6 76 28.9 77 27.6 78 18 79 29.5 80 23.6 81 36.5 82 41.4 83 19.6 84 11.3 85 29 86 14.4 87 27 88 41.4 89 13.1

In Megastat, select descriptive statistics and select the data in the input range. mark the 95% confidence interval.

The output is given below:

The 95% confidence interval is (22.131, 25.579) . The margin of error is 1.724.