Question

*Sixth-Grade Reading Test
Scores*

79 74 78 70 80 72 75 80 83 80

74 73 70 74 81 75 81 82 76 71

76 74 81 74 74 77 76 74 80 76

**Refer to the data in Exercise 1 above. Perform a
Kolmogorov-Smirnov one-sample test to examine the normality of this
sample of scores. Your response should be organized according to
the 8 steps in hypothesis testing. Report your findings. (10
points)**

**Hypothesis Testing Steps 1-3 (1.5
points)**

**For Hypothesis Testing Step 4,** calculate the
test statistic using the following process:

Create a frequency distribution table to provide a summation of
the scores *(1 point)*

Calculate the **midpoint** for the observed
frequency distribution of scores (using formula 2.11 on page 28);
use **SPSS** to obtain the **standard
deviation** for this sample of scores*. (1
point)*

Determine the z-scores for each value in the distribution and
its corresponding probability values *(2
points)*

Calculate the relative frequencies for the empirical and
observed distributions*. (2 points)*

**Use SPSS to compute the value of K-S test** for
the set of scores, and test the hypothesis. Attach the SPSS
printout*. (1 point)*

**Complete the Hypothesis Testing procedure Steps 5 to 8.
(1.5 points)**

Answer #1

Given the following data set of test #1 scores.
78 80 68 56 76 78 74 90 96 60 98 66 100 76 64 82 62 72 78 74 90
90 68 72 82 72 78 54 62 72 72 78 65 51 34 82
a. Construct a stem and leaf plot.
b. Construct a frequency distribution with that has class width
of 12, and the lower class limit of the first class is 34.
c. Construct a frequency polygon...

Mid Score
Final Score
80
78
87
85
72
81
69
54
86
70
83
73
78
89
75
84
74
86
75
79
84
75
73
63
74
72
73
69
80
86
75
78
72
75
77
68
76
77
66
78
74
77
71
73
85
79
74
74
76
79
76
73
84
72
77
81
78
86
86
76
81
83
78
83
85
86
73
71
83
83
83
79
72
68
83
90...

The following scores represent a sample of final examination
grades for a statistics course
23 60 98 32 57 74 52 70 82 69 74 63 80 62 80 77 81 95 41 65 92
85 85 61 36 79 55 76 52 10 64 75 78 25 80 48 83 64 88 82 81 67 41
71 67 54 34 72 74 43 60 78 84 89 76 84 17 90 15 79
a) Provide a frequency polygon with...

The following scores represent a sample of final examination
grades for a statistics course
23 60 98 32 57 74 52 70 82 69 74 63 80 62 80 77 81 95 41 65 92
85 85 61 36 79 55 76 52 10 64 75 78 25 80 48 83 64 88 82 81 67 41
71 67 54 34 72 74 43 60 78 84 89 76 84 17 90 15 79
a) Compute the 20th percentile of...

Estimating a Mean: Consider the frequency
distribution for 19 test scores (it was a difficult exam).
Score
Frequency
60 −
64
8
65 −
69
4
70 −
74
2
75 −
79
4
80 −
84
1
(a) The class midpoint for the first class is .
(b) The class midpoint for the second class is .
(c) Use the frequency table to estimate the mean score.
Round your answer to 1 decimal place.
x =

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...

Sample scores from four different statistics class sections are
shown below. Run an ANOVA test on them and answer the following
questions:
Class 1
Class 2
Class 3
Class 4
95
79
77
81
99
68
91
96
75
84
84
68
76
78
84
89
82
74
75
78
97
93
82
75
93
95
82
88
83
88
85
98
86
95
96
59
What conclusion can we make about the hypothesis test?

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...

Consider the following random sample of test scores (in
percentages) from a biology final exam.
95
65 70
75 74
86 82
95
45 80
72 70
78 72
80
1. Find the five-number summary for
this data set.
2. Make a box-and-whisker plot.
3. Find the interquartile range.

Zachary thinks that taking pets for a walk decreases
people’s heart rate over time. He has his participants take a
baseline heart rate and then has them walk their dogs for three
days. He then has the same participants take their resting heart
rate.
Participant
Baseline
Post Walk
1
75
71
2
66
66
3
57
55
4
64
66
5
67
60
6
77
74
7
70
73
8
71
70
9
76
72
10
80
77
11
76...

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