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...

Question 1: Table 1 shows the number of customers visited by a
salesman over an 80-week period. Table 1: Customers Visited Over an
80-Week Period 68 64 75 82 68 60 62 88 76 93 73 79 88 73 60 93 71
59 85 75 61 65 75 87 74 62 95 78 63 72 66 78 82 75 94 77 69 74 68
60 96 78 89 61 75 95 60 79 83 71 79 62 67 97 78...

TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...

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...

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