Question

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 hours attained |

1 | No |

2 | No |

3 | No |

4 | No |

5 | No |

6 | No |

7 | No |

8 | No |

9 | No |

10 | No |

11 | No |

12 | No |

13 | No |

14 | No |

15 | No |

16 | No |

17 | No |

18 | No |

19 | No |

20 | No |

21 | No |

22 | No |

23 | No |

24 | No |

25 | No |

26 | No |

27 | No |

28 | No |

29 | No |

30 | No |

31 | No |

32 | No |

33 | No |

34 | No |

35 | No |

36 | No |

37 | No |

38 | No |

39 | No |

40 | No |

41 | No |

42 | No |

43 | No |

44 | No |

45 | No |

46 | No |

47 | No |

48 | No |

49 | No |

50 | No |

51 | No |

52 | No |

53 | No |

54 | Yes |

55 | Yes |

56 | Yes |

57 | Yes |

58 | Yes |

59 | Yes |

60 | Yes |

61 | Yes |

62 | Yes |

63 | Yes |

64 | Yes |

65 | Yes |

66 | Yes |

67 | Yes |

68 | Yes |

69 | Yes |

70 | Yes |

71 | Yes |

72 | Yes |

73 | Yes |

74 | Yes |

75 | Yes |

76 | Yes |

77 | Yes |

78 | Yes |

79 | Yes |

80 | Yes |

81 | Yes |

82 | Yes |

83 | Yes |

84 | Yes |

85 | Yes |

86 | Yes |

87 | Yes |

88 | Yes |

89 | Yes |

Answer #1

Number of students who have attained more than 60 credit hours = 36

proportion = p = 36/89 = 0.4045

confidence interval is given by:

p = proportion = 0.4045

z = z value for desired confindence level of 90% = 1.645

n= numbe of students = 89

Thus putting the values in above equation gives

confidence interval = (0.3189 , 0.4901)

Result : Thus we have 90% confidence that proportion of students who have attained more than 60 credit hours is between 31.89% and 49.01%.

*******************************************

Thanks.

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

An administrator said that he believes that 50% of all students
have more than 60 credit hours. Use the data found in the column
labeled “More than 60 credit hours attained” to answer this
question. “No” means that the student has not attained more than 60
credit hours. “Yes” means that the student has attained more than
60 credit hours.
a. Write the claim in symbolic form
b. Write the null and alternative hypothesis in symbolic
form
c. State the...

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

Refer to the accompanying data set and construct a 95%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
Males Females
81
82
72
94
52
57
59
66
51
54
62
80
52
77
74
85
51
89
62
57
73
35
61
64
62
87
80
74
80
79
63
62
63
67
97
76
43
60
85
65
72
86
66
85
73
69
72 ...

The Test Scores for a Statistics course are given in the Excel
below.
The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam
Your professor wants to know if all tests are created equal.
What is the F-Stat?
EXAM1
EXAM2
EXAM3
FINAL
73
80
75
65.86667
93
88
93
80.16667
89
91
90
78
96
98...

The data file ExxamScores shows the 40 students
in a TOM 3010 course exxam scores for the Middtermm and Final
exxam. Is there statistically significant evidence to show that
students score lower on their final exxam than middtermm exxam?
Provide the p-value for this analysis.ROUND TO 4 DECIMAL
PLACES.
ExxamScores
Student ID #
Middtermmm
Final
56065
97
64
79499
95
85
59716
89
72
83504
79
64
77735
78
74
57760
87
93
78204
83
70
81177
94
79
54398...

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...

The Business Association of the Montreal Area (BAMA) wants to
estimate the number of hours per week that each business executive
in the city works. BAMA found that the following is the number of
hours worked weekly in 2019 by a sample of business executives in
the Montreal Area:
84
87
88
83
81
85
84
86
79
81
78
82
What is the point estimate of the population mean?
(Round your answer to 2 decimal places.)
Develop a 90%...

Refer to the accompanying data set and construct a
9595%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
Click the icon to view the pulse rates for adult females and
adult males.
Construct a 95% confidence interval of the mean pulse rate for
adult females.nothing
bpm<μ<bpm
bpm
(Round to one decimal place as needed.)
Construct a
95%
confidence interval of the mean pulse rate for adult males....

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