Age Group Hours of Sleep 39 or younger 40 or older Total Fewer than 6 38 36 74 6 to 6.9 60 57 117 7 to 7.9 76 74 150 8 or more 66 93 159 Total 240 260 500 (Row i Total)(Column j Total) The expected frequencies are calculated as e; There are i = 4 rows Total Sample Size
Age Group Hours of Sleep 39 or younger 40 or older Total Fewer than 6 38 36 74 6 to 6.9 60 57 117 7 to 7.9 76 74 150 8 or more 66 93 159 Total 240 260 500 (Row i Total)(Column j Total) The expected frequencies are calculated as e; There are i = 4 rows Total Sample Size
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Age Group
Hours of Sleep
39 or younger
40 or older
Total
Fewer than 6
38
36
74
6 to 6.9
60
57
117
7 to 7.9
76
74
150
8 or more
66
93
159
Total
240
260
500
(Row i Total)(Column j Total)
The expected frequencies are calculated as e;
There are i = 4 rows
Total Sample Size
representing the categories for hours of sleep and j = 2 columns representing the categories for age group.
To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or
younger, multiply the total for the Fewer than 6 row, 74, by the total for the 39 or younger column, 240, and
then divide this product by the total sample size, 500.
Calculate the expected frequencies. Note that the row and column totals will be the same as for the observed
frequencies.
Age Group
Hours of Sleep
39 or younger
40 or older
74(240)
Fewer than 6
= 35.52
500
6 to 6.9
7 to 7.9
8 or more
Expert Solution

Step 1
Given Data:
Hours of Sleep | 39 or younger | 40 or older | Total |
Fewer than 6 | 38 | 36 | 74 |
6 to 6.9 | 60 | 57 | 117 |
7 to 7.9 | 76 | 74 | 150 |
8 or more | 66 | 93 | 159 |
Total | 240 | 260 | 500 |
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