Question

Question 9-15 are based on the random sample below which is obtained to test the following hypothesis about the population mean. Test the hypothesis that the mean is less than 80. | ||||||||

80 | 100 | 81 | 93 | 80 | 57 | 98 | 90 | |

71 | 56 | 58 | 78 | 59 | 55 | 55 | 77 | |

72 | 78 | 56 | 94 | 98 | 59 | 93 | 86 | |

89 | 62 | 60 | 66 | 59 | 71 | 96 | 97 | |

94 | 69 | 64 | 77 | 87 | 77 | 64 | 90 | |

90 | 95 | 98 | 99 | 56 | 69 | 72 | 81 | |

95 | 89 | 97 | 83 | 98 | 58 | 88 | 90 | |

90 | 57 | 99 | 80 | 88 | 58 | 69 | 75 | |

85 | 91 | 67 | 70 | 73 | 86 | 83 | 62 | |

90 | 88 | 75 | 56 | 57 | 57 | 92 | 67 | |

70 | 67 | 71 | 64 | 70 | 68 | 99 | 83 | |

91 | 98 | 100 | 67 | 75 | 92 | 79 | 70 | |

92 | 97 | 59 | 70 | 68 | 59 | 71 | 99 | |

13 | Given α = 0.05, the critical value for the test is, | ||||

a | 2.201 | ||||

b | 1.983 | ||||

c | 1.768 | ||||

d | 1.660 | ||||

14 | The approximate p-value for the test is, | ||||

a | 0.128 | ||||

b | 0.092 | ||||

c | 0.078 | ||||

d | 0.066 | ||||

15 | Based on the p-value in the previous question, | ||||

a | Reject H₀ at α = 0.05; do not reject H₀ at α = 0.01 | ||||

b | Reject H₀ at α = 0.01; do not reject H₀ at α = 0.05 | ||||

c | Reject H₀ at α = 0.10; do not reject H₀ at α = 0.05 | ||||

d | reject H₀ at α = 0.10; reject H₀ at α = 0.05 |

Answer #1

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...

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...

Test score of 40 students are listed below. Find the percentile for
the test score of 66.
30 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98

Since we are attempting to examine the behavior of a class of
students, the behavior of an individual (as we calculated in
objective 1) is really of little concern to us. Assuming that there
are 30 students enrolled for a typical class, use the central limit
theorem to calculate the following:
• What would be the shape of the
distribution of the average class grade of these 30 students?
• What would be the average class
average of...

Use the pulse rates in beats per minute (bpm) of a random
sample of adult females listed in the data set available below to
test the claim that the mean is less than 77 bpm. Use a
0.01significance level
Click the icon to view the pulse rate data.
59 38
95 92
105 90
81 94
77 78
101 69
47 45
78 90
80 104
75 87
63 61
66 48
35 54
49 39
90 35
97 92...

The test scores of 40 students are listed below.
30
35 43 44 47 48 54 55 56 57
59
62 63 65 66 68 69 69
71 72
72
73 74 76 77 77 78 79 80 81
81 82 83 85 89
92 93 94 97
98
a)
Find the lower and upper quartiles for the data.
b)
Find the interquartile range.
c)
Draw the box-and-whisker diagram for the data.

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 ...

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...

10
A)
What is the best regression to forecast
salary?
10
C)
Are all variables statistically
significant? Did you drop any
Final
Math Pre req
Hours
Work experience
94
92
5
Y
74
90
3
Y
74
87
4
Y
76
84
3
N
66
87
2
N
80
49
4
Y
74
42
3
N
71
61
4
N
84
81
5
N
76
67
5
Y
95
93
4
N
78
56
5
N
71
54
3
Y
82...

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...

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