Repeat the Procedure for n = 5 For the sample of n = 5 days averaged together, construct a histogram of the averages (your means together with the means of the other groups). Make intervals with bar widths of 1/2 a day. Sketch the graph using a ruler and pencil. Scale the axes. Draw a smooth curve through the tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Repeat the Procedure for n = 5

  1. For the sample of n = 5 days averaged together, construct a histogram of the averages (your means together with the means of the other groups). Make intervals with bar widths of 1/2 a day. Sketch the graph using a ruler and pencil. Scale the axes.
  2. Draw a smooth curve through the tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.

Repeat the Procedure for n = 10

  1. For the sample of n = 10 days averaged together, construct a histogram of the averages (your means together with the means of the other groups). Make intervals with bar widths of 1/2 a day. Sketch the graph using a ruler and pencil. Scale the axes.
  2. Draw a smooth curve through the tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve.
STATS LAB 7: Central Limit Theorem (Cookie Recipes)
Given
X = length of time (in days) that a cookie recipe lasted at the Olmstead Homestead. (Assume that
each of the different recipes makes the same quantity of cookies.)
Recipe #
X
Recipe #
X
Recipe #
1
1
16
2
31
5
17
32
2
18
33
19
34
20
35
21
36
22
37
38
39
2
3
4
5
6
7
8
9
10
11
12
13
14
15
5
6
1
2
6
5
2
5
1
1
3
2
Calculate the following:
a. Hy
b. ox
=
23
24
25
26
27
28
29
30
2
4
6
1
6
5
2
5
1
6
4
1
6
2
40 41 42 3 44 45
43
X
3
4
5
6
6
1
1
2
1
6
1
6
2
6
2
Recipe #
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
X
2
2
11
5
5
4
6
5
1
1
2
4
3
6
5
Transcribed Image Text:STATS LAB 7: Central Limit Theorem (Cookie Recipes) Given X = length of time (in days) that a cookie recipe lasted at the Olmstead Homestead. (Assume that each of the different recipes makes the same quantity of cookies.) Recipe # X Recipe # X Recipe # 1 1 16 2 31 5 17 32 2 18 33 19 34 20 35 21 36 22 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 1 2 6 5 2 5 1 1 3 2 Calculate the following: a. Hy b. ox = 23 24 25 26 27 28 29 30 2 4 6 1 6 5 2 5 1 6 4 1 6 2 40 41 42 3 44 45 43 X 3 4 5 6 6 1 1 2 1 6 1 6 2 6 2 Recipe # 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 X 2 2 11 5 5 4 6 5 1 1 2 4 3 6 5
Collect the Data
Use a random number generator to randomly select four samples of size n = 5 from the given
population. Record your samples. Then, for each sample, calculate the mean to the nearest tenth.
Record them in the spaces provided. Record the sample means for the rest of the class.
2. Complete the table:
Means:
Means:
Sample 1
3. Calculate the following:
5
1
1
2
6
2
1
7
6
5
x = 2.8
7
3
9
6
9
Sample 1
a. Mean of all x = μx = 2.6
b. s. D. of all x = Sx = 0.14
x = 5.6
8
1
4
10
Sample 2
9
Sample 2
10
1
2
2
3
9
2
1
6
5
x = 2.6
4. Again, use a random number generator to randomly select four samples from the
population. This time, make the samples of size n = 10. Record the samples in the table
x = 6
Sample 3
7
8
10
6
6
3
3
6
4
5
4
2
2
4
1
x = 2.6
Sample 3
|
x = 5.8
Sample 4
9
5
6
3
1
3
3
5
1
5
3
1
4
1
1
x=2.4
Sample 4
Sample
means
from other
groups:
x = 3.9
3
2.25
2.5
2.25
3
Sample
means from
other
groups:
6.25
4
6.5
6.5
5.5
7
4.25
5.25
3.5
4.5
Transcribed Image Text:Collect the Data Use a random number generator to randomly select four samples of size n = 5 from the given population. Record your samples. Then, for each sample, calculate the mean to the nearest tenth. Record them in the spaces provided. Record the sample means for the rest of the class. 2. Complete the table: Means: Means: Sample 1 3. Calculate the following: 5 1 1 2 6 2 1 7 6 5 x = 2.8 7 3 9 6 9 Sample 1 a. Mean of all x = μx = 2.6 b. s. D. of all x = Sx = 0.14 x = 5.6 8 1 4 10 Sample 2 9 Sample 2 10 1 2 2 3 9 2 1 6 5 x = 2.6 4. Again, use a random number generator to randomly select four samples from the population. This time, make the samples of size n = 10. Record the samples in the table x = 6 Sample 3 7 8 10 6 6 3 3 6 4 5 4 2 2 4 1 x = 2.6 Sample 3 | x = 5.8 Sample 4 9 5 6 3 1 3 3 5 1 5 3 1 4 1 1 x=2.4 Sample 4 Sample means from other groups: x = 3.9 3 2.25 2.5 2.25 3 Sample means from other groups: 6.25 4 6.5 6.5 5.5 7 4.25 5.25 3.5 4.5
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