a. What sort of test would you suggest to compare moon days to other days? WHY? alaw) wor's stay b. What would the null and alternative hypotheses be? Conduct the test you suggest in question (a) above that corresponds to your hypotheses in (b). Use a = 0.05. SOLVE AND INTERPRET CLEARLY AND THOROUGHLY. YOU MUST REFERENCE THE C. CONTEXT OF THE PROBLEM.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Sections a, b, c please
Question #6 (use the following to solve a, b, and c on the next page)
Many people believe that the moon influences the actions of some individuals. A study of dementia
patients in nursing homes recorded various types of disruptive behaviors every day for 12 weeks. Days
were classified as moon days if they were in a 3-day period centered at the day of the full moon. For
each patient, the average number of disruptive behaviors was computed for moon days and for all other
days. The hypothesis is that moon days will lead to more disruptive behavior.
The data is a follows:
Patient Moon Days Other Days Difference
1
3.33
0.27
3.06
3.67
0.59
3.08
3
2.67
0.32
2.35
4
3.33
0.19
3.14
3.33
1.26
2.07
6
3.67
0.11
3.56
7
4.67
0.3
0.4
4.37
8
2.67
2.27
9
6
1.59
4.41
10
3.73
2.68
4.33
0.6
11
3.33
0.65
12
0.67
0.69
-0.02
13
1.33
1.26
0.07
14
0.33
0.23
0.38
0.1
15
2
1.62
The following EXCEL output is provided:
Moon Days
Other Days
Difference
Mean
Standard Error
Median
Mode
Standard Deviation
|Sample Variance
Kurtosis
Skewness
Range
Minimum
Maximum
Sum
Count
3.022 Mean
0.386981235 Standard Error
3.33 Median
3.33 Mode
0.589333333 Mean
0.114872462 Standard Error
2.432666667
0.377053068
2.68
#N/A
0.4 Median
1.26 Mode
1.498771878 Standard Deviation | 0.444899132 Standard Deviation
2.246317143 Sample Variance
0.189526931 Kurtosis
-0.115869713 Skewness
5.67 Range
0.33 Minimum
1.460320252
2.132535238
0.197935238 Sample Variance
0.517112402 Kurtosis
1.21114287 Skewness
1.48 Range
0.11 Minimum
1.59 Maximum
-0.584033447
-0.574808385
4.43
-0.02
6 Maximum
45.33 Sum
15 Count
4.41
8.84 Sum
36.49
15
15 Count
Transcribed Image Text:Question #6 (use the following to solve a, b, and c on the next page) Many people believe that the moon influences the actions of some individuals. A study of dementia patients in nursing homes recorded various types of disruptive behaviors every day for 12 weeks. Days were classified as moon days if they were in a 3-day period centered at the day of the full moon. For each patient, the average number of disruptive behaviors was computed for moon days and for all other days. The hypothesis is that moon days will lead to more disruptive behavior. The data is a follows: Patient Moon Days Other Days Difference 1 3.33 0.27 3.06 3.67 0.59 3.08 3 2.67 0.32 2.35 4 3.33 0.19 3.14 3.33 1.26 2.07 6 3.67 0.11 3.56 7 4.67 0.3 0.4 4.37 8 2.67 2.27 9 6 1.59 4.41 10 3.73 2.68 4.33 0.6 11 3.33 0.65 12 0.67 0.69 -0.02 13 1.33 1.26 0.07 14 0.33 0.23 0.38 0.1 15 2 1.62 The following EXCEL output is provided: Moon Days Other Days Difference Mean Standard Error Median Mode Standard Deviation |Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count 3.022 Mean 0.386981235 Standard Error 3.33 Median 3.33 Mode 0.589333333 Mean 0.114872462 Standard Error 2.432666667 0.377053068 2.68 #N/A 0.4 Median 1.26 Mode 1.498771878 Standard Deviation | 0.444899132 Standard Deviation 2.246317143 Sample Variance 0.189526931 Kurtosis -0.115869713 Skewness 5.67 Range 0.33 Minimum 1.460320252 2.132535238 0.197935238 Sample Variance 0.517112402 Kurtosis 1.21114287 Skewness 1.48 Range 0.11 Minimum 1.59 Maximum -0.584033447 -0.574808385 4.43 -0.02 6 Maximum 45.33 Sum 15 Count 4.41 8.84 Sum 36.49 15 15 Count
a. What sort of test would you suggest to compare moon days to other days? WHY?
wur's stefiny
ow the leah chaned
b. What would the null and alternative hypotheses be?
Conduct the test you suggest in question (a) above that corresponds to your hypotheses in (b). Use
a = 0.05. SOLVE AND INTERPRET CLEARLY AND THOROUGHLY. YOU MUST REFERENCE THE
С.
CONTEXT OF THE PROBLEM.
Lan
tan e dta .he sult fro al are shon bolow
NOVA
SOLVE
THE
thed to the
AT REFEREN
CLENEL
Transcribed Image Text:a. What sort of test would you suggest to compare moon days to other days? WHY? wur's stefiny ow the leah chaned b. What would the null and alternative hypotheses be? Conduct the test you suggest in question (a) above that corresponds to your hypotheses in (b). Use a = 0.05. SOLVE AND INTERPRET CLEARLY AND THOROUGHLY. YOU MUST REFERENCE THE С. CONTEXT OF THE PROBLEM. Lan tan e dta .he sult fro al are shon bolow NOVA SOLVE THE thed to the AT REFEREN CLENEL
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