Question

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 |

Answer #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.

4. Study Time. A university states the mean
number of study hours per week for full-time student (12 units +)
should be at least 20 hours. Based on the random sample of weekly
study hours for the 8 full-time students listed below, is the mean
study time for all full-time students less than the recommended
amount? ( use a=.10, assume sample comes from a population that is
normal)
21.8 17.6 21.6
16.9 15.4 19.4 22.6
18.1
Check Assumptions:
Ho:
Diagram:...

The vice president of the student organization has asked you to
create an estimate of the proportion of students who have attained
more than 60 credit hours. You ask her what level of confidence she
wants to have in the estimate and she says that she would like to
be 90% confident in the proportion estimate. Create the confidence
interval using the sample data. Write a sentence or two to
communicate the results to her.
Student
More than 60 credit...

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