Question

StudentNO | Gender | Height in inchese |

1 | Female | 63 |

2 | Female | 64.0 |

3 | Male | 67.0 |

4 | Female | 59 |

5 | Male | 60 |

6 | Female | 61 |

7 | Female | 62 |

8 | Female | 63 |

9 | Female | 63 |

10 | Female | 64 |

11 | Male | 64 |

12 | Female | 65 |

13 | Female | 65 |

14 | Female | 65 |

15 | Female | 65 |

16 | Female | 66 |

17 | Female | 66 |

18 | Male | 67 |

19 | Male | 67 |

20 | Male | 67 |

21 | Female | 67 |

22 | Male | 67 |

23 | Male | 67 |

24 | Female | 67.5 |

25 | Male | 68 |

26 | Female | 68 |

27 | Male | 68 |

28 | Male | 68 |

29 | Female | 68 |

30 | Female | 68 |

31 | Female | 69 |

32 | Female | 69 |

33 | Female | 69 |

34 | Male | 69 |

35 | Male | 69 |

36 | Male | 69 |

37 | Female | 69 |

38 | Male | 69 |

39 | Male | 69 |

40 | Female | 60.0 |

41 | Male | 70 |

42 | Male | 70 |

43 | Male | 70 |

44 | Female | 70 |

45 | Male | 70 |

46 | Male | 70 |

47 | Male | 70 |

48 | Female | 70 |

49 | Female | 70 |

50 | Male | 70 |

51 | Male | 70 |

52 | Male | 70 |

53 | Male | 71 |

54 | Male | 71 |

55 | Male | 71 |

56 | Male | 71 |

57 | Male | 71 |

58 | Male | 71 |

59 | Male | 71 |

60 | Male | 71 |

61 | Male | 72 |

62 | Male | 72 |

63 | Male | 72 |

64 | Male | 72 |

65 | Male | 72 |

66 | Male | 72 |

67 | Male | 73 |

68 | Male | 73 |

69 | Male | 73 |

70 | Male | 73 |

71 | Male | 73 |

72 | Male | 73 |

73 | Male | 74 |

74 | Male | 74 |

75 | Male | 75 |

76 | Male | 75 |

77 | Male | 75 |

78 | Male | 75 |

79 | Male | 75 |

80 | Male | 76 |

81 | Male | 76 |

82 | Male | 78 |

83 | Male | 78 |

Data collected to understand the height differences between male and female college students at University of Cincinnati. While it is impossible to have a population data, a sample data was collected from ENED3066 summer 2020. The data is available through: data above.

Use the collected data, run appropriate hypothesis testing to predict the height information for male and female students at UC.

1: If we assume the variances of the height for both male and female students are unknow, what is the degree of freedom for the hypothesis test assuming unequal variance?

2: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is there is differences. Assuming equal variances, what is the test static value, t value? keep two numbers after decimal points

3: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is there is differences. Given α=0.05, should you reject the null hypothesis?

4: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is the height of the male students is greater than the female students. Given α=0.05, what is t critical value of the test assuming equal variance? keep two decimal spaces

5: Suppose our null hypothesis is that there is no differences in heights between male and female students at UC. The alternative hypothesis is the height of the male students is greater than the female students. Given α=0.05, what is Z critical value of the test assuming normality? keep two decimal spaces

Answer #1

1. df = 53

2. t = 6.82

3. Yes, p-value = 0.0000

4. t-crit = 1.66

5. z-crit = 1.64

Female | Male |

63 | 67 |

64 | 60 |

59 | 64 |

61 | 67 |

62 | 67 |

63 | 67 |

63 | 67 |

64 | 67 |

65 | 68 |

65 | 68 |

65 | 68 |

65 | 69 |

66 | 69 |

66 | 69 |

67 | 69 |

67.5 | 69 |

68 | 70 |

68 | 70 |

68 | 70 |

69 | 70 |

69 | 70 |

69 | 70 |

69 | 70 |

60 | 70 |

70 | 70 |

70 | 71 |

70 | 71 |

71 | |

71 | |

71 | |

71 | |

71 | |

71 | |

72 | |

72 | |

72 | |

72 | |

72 | |

72 | |

73 | |

73 | |

73 | |

73 | |

73 | |

73 | |

74 | |

74 | |

75 | |

75 | |

75 | |

75 | |

75 | |

76 | |

76 | |

78 | |

78 |

. The following data represent the final exam scores of 18 male
students and 18
female students.
Male: 68, 68, 72, 73, 65, 74, 73, 72, 68, 65, 73, 66, 71, 68,
74, 66, 71, 65
Female: 59, 75, 70, 56, 66, 75, 68, 75, 62, 60, 73, 61, 75, 74,
58, 60, 73, 58
Is there any significant difference between the average exam
scores of male and
female students? Explain your answer.

A random sample of 30 male college students was selected, and
their heights were measured. The heights (in inches) are given
below.
73
66
68
70
69
69
69
66
68
70
72
74
73
71
71
72
69
68
66
73
74
72
68
71
67
73
66
73
69
72
(a) Complete the frequency distribution for the data. Make sure
to enter your answers for the relative frequency as decimals,
rounded to the nearest tenth.
Height
Frequency
Relative...

The following data values represent a sample of
the heights of female college basketball players. SHOW WORK.
Heights in Inches
65 66 66 67 68 68 68 69 69 69 69 70 71
72 72 72 73 75 75 75 75 76 76 76 76
a) Determine (to two decimal places) the mean height and sample
standard deviation of the heights.
b) Determine the z-score of the data value X = 75 to the
nearest hundredth.
c) Using results from...

-Can you use this data for the following questions? The
population standard deviation for heights for 3 inches. We can
assume this is the standard deviation for the population for WCCC
men.
65, 65, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71,71,71,71,71, 66,
67, 67, 67, 67, 67, 67,67, 68, 68, 68, 69, 69, 69, 69, 69, 69, 72,
72, 72, 73, 73, 74, 74, 74, 74, 76, 76, 76, 77, 78
-In Spring 2020, we sampled _____...

Using the empirical rule, 68% of male heights should be between
what two values? Either show work or explain how your answer was
calculated.
Height
(inches)
Gender
61
M
64
F
65
F
65
F
65
F
67
F
67
F
67
F
68
M
68
F
68
M
69
F
69
M
69
F
69
F
69
M
70
M
70
F
70
F
70
F
71
M
71
M
71
M
72
F
72
F
72
M
72...

Using the empirical rule, 95% of female heights should be
between what two values? Either show work or explain how your
answer was calculated.
Height (inches)
Gender
61
M
64
F
65
F
65
F
65
F
67
F
67
F
67
F
68
M
68
F
68
M
69
F
69
M
69
F
69
F
69
M
70
M
70
F
70
F
70
F
71
M
71
M
71
M
72
F
72
F
72
M
72...

Use Excel to find the following: Compare the height, weight (in
inches), and age for Eagles versus Patriots, using t tests. Provide
the conclusions based on the t tests.
Gaps between numbers under age are no value
77 each
Eagles:
Age
35
28
23
23
29
23
24
31
28
24
24
24
26
31
23
26
25
25
31
29
33
30
22
28
23
24
29
23
24
26
32
26
24
23
29
24
23
30
24...

1)What would be the level of measurement for the quantity of
Funko Pops owned by the people in a statistics class?
a) Ordinal
b) Nominal
c) Interval
d) Ratio
2) Which sampling method was used if a researcher studying the
annual income of students went classroom to classroom during the
11:00 AM period and asked to randomly speak to 3 students in each
room?
a) Stratified Sampling
b) Convenience Sampling
c) Cluster Sampling
d) Systematic Sampling
3) the height (in...

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...

Kuya heard that oldest children tend to be more miserable about
life than their youngest siblings (not taking into consideration
the number of siblings in between). Kuya gathered data from 33
families and measured their scores on a misery scale. The lower the
score, the more miserable the person tends to be.
MISERY SCALE
SCORES
Oldest
Youngest
62
62
80
67
70
62
56
66
86
71
79
63
68
64
67
64
62
73
74
71
68
70
69...

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