For the original population, construct a histogram. Make intervals with a bar width of one day. Scale the axes. Draw a smooth curve through the tops of the bars of the histogram (describe the general shape of the curve) Note: original population table below I'm unsure how to make a histogram for this, any help is appreciated. thanks X = length of time (in days) that a cookie recipe lasted. The really good cookies lasted only one day. (Assume that each of the different recipes makes the same quantity of cookies) Recipe # Days X Recipe # Days X Recipe # Days X Recipe # Days X 1 1 16 2 31 3 46 2 2 5 17 2 32 4 47 2 3 2 18 4 33 5 48 11 4 5 19 6 34 6 49 5 5 6 20 1 35 6 50 5 6 1 21 6 36 1 51 4 7 2 22 5 37 1 52 6 8 6 23 2 38 2 53 5 9 5 24 5 39 1 54 1 10 2 25 1 40 6 55 1 11 5 26 6 41 1 56 2 12 1 27 4 42 6 57 4 13 1 28 1 43 2 58 3 14 3 29 6 44 6 59 6 15 2 30 2 45 2 60 5 Table 1 – Population Data σ= 3.57 μ = 2.15
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- For the original population, construct a histogram. Make intervals with a bar width of one day. Scale the axes.
- Draw a smooth curve through the tops of the bars of the histogram (describe the general shape of the curve)
Note: original population table below
I'm unsure how to make a histogram for this, any help is appreciated. thanks
X = length of time (in days) that a cookie recipe lasted. The really good cookies lasted only one day. (Assume that each of the different recipes makes the same quantity of cookies)
|
Recipe # |
Days X |
|
Recipe # |
Days X |
|
Recipe # |
Days X |
|
Recipe # |
Days X |
|
1 |
1 |
|
16 |
2 |
|
31 |
3 |
|
46 |
2 |
|
2 |
5 |
|
17 |
2 |
|
32 |
4 |
|
47 |
2 |
|
3 |
2 |
|
18 |
4 |
|
33 |
5 |
|
48 |
11 |
|
4 |
5 |
|
19 |
6 |
|
34 |
6 |
|
49 |
5 |
|
5 |
6 |
|
20 |
1 |
|
35 |
6 |
|
50 |
5 |
|
6 |
1 |
|
21 |
6 |
|
36 |
1 |
|
51 |
4 |
|
7 |
2 |
|
22 |
5 |
|
37 |
1 |
|
52 |
6 |
|
8 |
6 |
|
23 |
2 |
|
38 |
2 |
|
53 |
5 |
|
9 |
5 |
|
24 |
5 |
|
39 |
1 |
|
54 |
1 |
|
10 |
2 |
|
25 |
1 |
|
40 |
6 |
|
55 |
1 |
|
11 |
5 |
|
26 |
6 |
|
41 |
1 |
|
56 |
2 |
|
12 |
1 |
|
27 |
4 |
|
42 |
6 |
|
57 |
4 |
|
13 |
1 |
|
28 |
1 |
|
43 |
2 |
|
58 |
3 |
|
14 |
3 |
|
29 |
6 |
|
44 |
6 |
|
59 |
6 |
|
15 |
2 |
|
30 |
2 |
|
45 |
2 |
|
60 |
5 |
Table 1 – Population Data
σ= 3.57
μ = 2.15
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