Question

Student # Gender Height Shoe Age Hand

1 F 68 8.5 20 R

2 F 60 5.5 27 R

3 F 64 7 31 R

4 F 67 7.5 19 R

5 F 65 8 20 R

6 F 66 9 29 R

7 F 62 9.5 30 L

8 F 63 8.5 18 R

9 F 60 5 19 L

10 F 63 7.5 42 R

11 F 61 7 20 R

12 F 64 7.5 17 R

13 F 65 8 19 R

14 F 68 8 19 R

15 F 63 7.5 18 R

16 F 62 7.5 19 R

17 F 64 7 23 R

18 F 72 11 28 R

19 F 62 8 20 R

20 F 59 6.5 29 R

21 F 64 8.5 19 R

22 F 68 9.5 23 R

23 F 65 9.5 34 R

24 F 63 8 27 R

25 F 65 8 23 R

26 F 62 7.5 30 R

27 F 67 7.5 31 L

28 F 66 9 37 R

29 F 61 6 24 R

30 F 61 6.5 46 R

31 F 68 8 20 R

32 F 63 7.5 42 R

33 F 63 5.5 33 R

34 F 63 9 35 R

35 F 65 8 44 R

36 F 69 9 28 R

37 F 68 9 20 R

38 F 63 7 49 R

39 F 62 6.5 19 R

40 F 66 7.5 19 R

41 F 69 7.5 55 R

42 F 69 11 40 R

43 F 63 6.5 19 R

44 F 61 7.5 20 R

45 F 68 9 19 R

Round sample mean, standard deviation, z-scores to 3 decimal places. When finding sample size, state your answer as a whole number.

1. The number line below shows a hypothetical confidence interval for a population mean.

a. What is the width of the confidence interval?

b. What is the sample mean?

c. What is the margin of error?

Use the heights from the SCC data to answer the following questions. Men are to use the male data, and women are to use the female data (only answer the questions for ONE set of data, not both).

2. State the following for the SCC sample female/male heights.

a. Sample size (n)

b. Sample mean (???)

c. Sample standard deviation (s)

3. Use the sample to make a point estimate of the mean height of the entire female/male SCC student body.

4. (a) Construct a 93% confidence interval for the mean height of the entire female/male SCC student body. (Round to 2 decimal places)

(b) What is the width of this interval? (Round to 2 decimal places)

5. (a) Construct a 99% confidence interval for the mean height of the entire female/male SCC student body. (Round to 2 decimal places)

(b) What is the width of this interval? (Round to 2 decimal places)

6. Review your 93% and 99% confidence intervals above. Which is wider and why?

7. Suppose that next year we again will collect data and will want to estimate the mean height of the entire female/male SCC student body. The minimum sample size we need to take depends on what confidence level and margin of error we specify.

a. Determine the minimum sample size needed to be 94% confident that the sample mean we get is within ¼ inch of the true mean.

b. Determine the minimum sample size needed to be 94% confident that the sample mean is within ½ inch of the true mean.

c. Determine the minimum sample size needed to be 90% confident that the sample mean is within ½ inch of the true mean.

8. Answer the following using your answers from question 7 above.

a. Which sample size requirement in #7a and #7b is larger and why?

b. Which sample size requirement in #7b and #7c is larger and why?

Answer #1

as per company policies, I am answering question one only.

2. State the following for the SCC sample female heights.

A. Sample size (n)

N= 45.00 COUNT

B. Sample mean (???)

Mean= 64.44 AVERAGE

C. Sample standard deviation (s)

Sd= sqrt(var) 2.95 STDEV

3)

Point estimate of the mean height of the entire female SCC student body.

Sample mean = Xbar = 64.44

4)

a)

93% confidence interval for the mean height of the entire female SCC student body

z(a/2)

z(0.07/2)

1.812

CI = mean +- z(a/2)*(sd/sqrt(n))

lower = 64.4444 - 1.812*(2.95077459441935/sqrt(45))= 63.65

upper = 64.4444 + 1.812*(2.95077459441935/sqrt(45))= 65.24

b)

width of this interval = ME = z(a/2)*(sd/sqrt(n))

=1.812*(2.95077459441935/sqrt(45)) = 0.80

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...

Using the class sample data, analyze the student heights by
completing the following. Please note the following directions.
The data below was collected from a group of 45 female students
last semester. You will use this data throughout the semester on
your lab assignments.
Student # Gender Height Shoe Age Hand
1 F 68 8.5 20 R
2 F 60 5.5 27 R
3 F 64 7 31 R
4 F 67 7.5 19 R
5 F 65 8 20...

Shoe Sizes:
10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5,
7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7
Height in inches:
61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67,
63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6
Based on our sample data, is there any linear correlation
between our heights and...

Use the classroom dataset. A researcher wants to be able to use
shoe size to predict height.
Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5,
11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6
Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65,
72, 64, 65, 66, 61, 67, 64, 65, 60, 64
A) what variable is the response variable and which is the
predictor variable?
B)...

3. (a) Use the sample to make a point estimate of the mean
height of the entire female/male SCC student body.
(b) Construct a 93% confidence interval for the mean height of
the entire female/male SCC student body.
(c) What is the width of this interval?
(d) Write a sentence interpreting your confidence interval.
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...

6 Use 10 bins with the first
centered on 61 in. and of width 1 in.
Construct a histogram for the female
student height data in Exercise 6.2.8.
The female students in an undergraduate engineering core course
at ASU self-reported their heights to the nearest inch. The data
follow. Construct a stem-and-leaf diagram for the height data and
comment on any important features that you notice. Calculate the
sample mean, the sample standard deviation, and the sample median
of height.
62...

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...

A randomly selected sample of college basketball players has the
following heights in inches.
63, 62, 71, 63, 63, 63, 69, 61, 68, 64, 62, 62, 65, 69, 69, 71,
66, 62, 63, 64, 66, 61, 63, 67, 65, 64, 63, 61, 68, 68, 67, 62
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)

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)

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)

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