Question

Student | What is your height in inches? | What is your weight in pounds? | What is your cumulative Grade Point Average (GPA) at FTCC or your primary college? | How many hours do you sleep each night? |

1 | 67 | 100 | 4 | 7 |

2 | 62 | 105 | 4 | 5 |

3 | 72 | 120 | 4 | 8 |

4 | 61 | 125 | 4 | 7 |

5 | 56 | 105 | 3.7 | 6 |

6 | 61 | 120 | 4 | 7 |

7 | 65 | 172 | 3.8 | 7 |

8 | 72 | 235 | 3.22 | 5 |

9 | 63 | 135 | 4 | 6 |

10 | 71 | 182 | 3.62 | 6 |

11 | 70 | 172 | 4 | 6 |

12 | 72 | 160 | 2.3 | 8 |

13 | 67 | 135 | 4 | 8 |

14 | 64 | 128 | 7 | |

15 | 72 | 180 | 2.5 | 8 |

16 | 70 | 170 | 4 | 6 |

17 | 63 | 210 | 3.75 | 4 |

18 | 68 | 180 | 2.2 | 7 |

19 | 72 | 250 | 3.69 | 6 |

20 | 76 | 210 | 1.98 | 6 |

21 | 63 | 144 | 6 | |

22 | 68 | 165 | 2.5 | 6 |

23 | 64 | 140 | 3.7 | 9 |

24 | 69 | 145 | 3 | 5 |

25 | 72 | 270 | 2.5 | 7 |

26 | 63 | 132 | 4 | 7 |

27 | 63 | 148 | 3.231 | 5 |

28 | 72 | 185 | 3.5 | 6 |

29 | 69 | 175 | 4 | 6 |

30 | 59 | 155 | 3.6 | 7 |

31 | 69 | 179 | 4 | 8 |

32 | 62 | 205 | 3.5 | 6 |

33 | 63.5 | 180 | 3.7 | 5 |

34 | 68 | 240 | 4 | 5 |

35 | 62 | 168 | 3.3 | 7 |

36 | 67 | 137 | 3.2 | 8 |

37 | 70 | 200 | 4 | 6 |

38 | 69 | 186 | 4 | 5 |

39 | 60 | 140 | 4 | 5 |

40 | 70 | 199 | 3.8 | 5 |

41 | 65 | 205 | 2.5 | 10 |

42 | 65 | 145 | 3.2 | 8 |

43 | 72 | 180 | 2.1 | 6 |

44 | 74 | 175 | 3.5 | 7 |

45 | 67 | 140 | 3.7 | 6 |

46 | 70 | 215 | 3 | 8 |

47 | 67 | 205 | 2.8 | 6 |

48 | 68 | 191 | 3.51 | 8 |

49 | 71 | 213 | 1.4 | 4 |

50 | 71 | 225 | 2.7 | 6 |

51 | 70 | 217 | 3.8 | 6 |

52 | 67.2 | 150 | 4 | 6 |

53 | 71 | 190 | 1.7 | 8 |

54 | 76 | 220 | 3.7 | 7 |

55 | 68 | 189 | 3.5 | 8 |

Sample Size

A.) What would be a reasonable margin of error for your data set if you had to decide independently? Explain your reasoning. If you were doing a study on the heights of adults, how wide should be the margin of error. (Example: within 1 in, within ½ in…)

B. ) Determine the minimum sample size required to be 95% confident given your standard deviation and the margin of error that you decided on in part A as reasonable for your data set. Use s as an approximation of ?.

C.) What happens to your minimum sample size if you increase or decrease your margin of error for your data set? Explain.

Answer #1

A) The formula for margin of error is:

Margin of error = Critical value x **Standard
error**

Critical value = Z-crit if sample size > 30

**Summary of Height:**

Height | |

N | 55 |

Mean | 67.43091 |

SD | 4.354887 |

Therefore, the margin of error = Z_{0.05}*(SD/)
= 1.96*(4.354887/)
= 1.15.

B) The confidence interval can be defined as follows:

Solving the above equation we get,

therefore, with Z=1.96 for alpha=5%, = S = 4.35 and m = 1.15, we get n >= 56.11.

C) if the margin of error increases then sample decreases and sample size increases if the margin of error decreases.

A randomly selected sample of college basketball players has the
following heights in inches. 65, 62, 64, 61, 68, 61, 63, 70, 66,
71, 65, 62, 61, 66, 69, 71, 69, 67, 65, 65, 65, 71, 67, 63, 71, 67,
68, 63, 66, 70, 69, 64 Compute a 99% confidence interval for the
population mean height of college basketball players based on this
sample and fill in the blanks appropriately. < μ < (Keep 3
decimal places)

The data below represents height in inches/weight in pounds.
Clearly identify the dependent and independent variables as well as
the domain and range. Choose any two points from the data using
different independent variables and use those two points to
determine the rate of change (slope). Then, using the dependent
data value of -500 as your initial value, write an equation for the
linear function model. Predict what you expect at a height of
75".
inches/pounds
60" - 105, 110...

A randomly selected sample of college basketball players has the
following heights in inches.
65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67,
61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61
Compute a 95% confidence interval for the population mean height
of college basketball players based on this sample and fill in the
blanks appropriately.
___ < μ < ___ (Keep 3 decimal places)

Kuya is relocating to China to manage a local branch of world
news broadcasting station. He needs to decide on which mobile phone
providers he should select based on a sample data of monthly
charges from various subscribers. He came to you with the data to
determine the provider with the lowest charges, on the average.
Which provider would you advise Kuya to select?
Mobile
Unicom
Telecom
62
60
62
55
71
58
69
64
68
58
65
57
56...

Data Set
Height
Weight
Age
Shoe Size
Waist Size
Pocket Change
64
180
39
7
36
18
66
140
31
9
30
125
69
130
31
9
25
151
63
125
36
7
25
11
68
155
24
8
31
151
62
129
42
6
32
214
63
173
30
8
34
138
60
102
26
6
25
67
66
180
33
8
30
285
66
130
31
9
30
50
63
125
32
8
26
32
68
145
33...

Perform a Spearman Rank Correlation Coefficient Test at a
significance of 0.05. Use the following data points
Height (in.)
Foot Length (in.)
63
10
66
12
62.5
9.4
74
10.5
70
11.3
72
11.3
71
12.5
64
9.1
72
10.9
71
10
74
12.1
67
10
69
11.1
65
9.6
62.8
9
72
11.3
68.8
10.5
69
10
65.3
9
53
7
71
10.3
74
11.7
70
10
72
10.6
72.5
12.8
67
9.5
69
10.9
74
11.6
68
9...

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...

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...

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...

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

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