d. A point estimate of the average difference in the creatinine level (in micromoles per litre) of each specimen using each machine is e. At 5% level of significance, test if there is difference in the measured creatinine level (in micromoles per litre) of each specimen using each machine.

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2. CREATININE LEVEL PROBLEM
To compare the performance of the two machines a technician took eight specimens of
blood and measured the creatinine level (in micromoles per litre) of each specimen
using each machine. The results were as follows.
Specim
Analyzer
Analyzer 10
en
A
B
9
6
1
11
3
3
نيا
ev
2
Test Procedure:
17
15
0
30
10
83
4
99
p-value:
Conclusion: At alpha= 0.05,
95
5
Justify your choice of test procedure:
77
69
1
3
6
12
12
7
84
84
8
The data can also be found in the worksheet "creatinine_level" of excel file
"exer3_data.xlsx". R outputs can be found in the file "exer3_outputs.pdf".
Let difference be Analyzer A-Analyzer B.
73
d. A point estimate of the average difference in the creatinine level (in
micromoles per litre) of each specimen using each machine is
67
e. At 5% level of significance, test if there is difference in the measured
creatinine level (in micromoles per litre) of each specimen using each
machine.
Ho: (in symbols): (in words) The average creatinine level (in micromoles
per litre) of the specimen using Analyzer A is
the average
creatinine level (in micromoles per litre) of the specimen using Analyzer A.
Ha: (in symbols)___________ (in words) The average creatinine level (in micromoles
per litre) of the specimen using Analyzer A is
the average
creatinine level (in micromoles per litre) of the specimen using Analyzer B.
Transcribed Image Text:2. CREATININE LEVEL PROBLEM To compare the performance of the two machines a technician took eight specimens of blood and measured the creatinine level (in micromoles per litre) of each specimen using each machine. The results were as follows. Specim Analyzer Analyzer 10 en A B 9 6 1 11 3 3 نيا ev 2 Test Procedure: 17 15 0 30 10 83 4 99 p-value: Conclusion: At alpha= 0.05, 95 5 Justify your choice of test procedure: 77 69 1 3 6 12 12 7 84 84 8 The data can also be found in the worksheet "creatinine_level" of excel file "exer3_data.xlsx". R outputs can be found in the file "exer3_outputs.pdf". Let difference be Analyzer A-Analyzer B. 73 d. A point estimate of the average difference in the creatinine level (in micromoles per litre) of each specimen using each machine is 67 e. At 5% level of significance, test if there is difference in the measured creatinine level (in micromoles per litre) of each specimen using each machine. Ho: (in symbols): (in words) The average creatinine level (in micromoles per litre) of the specimen using Analyzer A is the average creatinine level (in micromoles per litre) of the specimen using Analyzer A. Ha: (in symbols)___________ (in words) The average creatinine level (in micromoles per litre) of the specimen using Analyzer A is the average creatinine level (in micromoles per litre) of the specimen using Analyzer B.
2. CREATININE LEVEL PROBLEM
Some statistics
Analyzer A: mean = 105.75; median = 99.5
Analyzer B: mean = 97.5; median = 89.5
Let difference = Analyzer A - Analyzer B
d=8.25
Md = 7
data: Analyzer A
W = 0.88028
p-value = 0.1895
Wilk-Shapiro Test for Normality
data: Analyzer B
W = 0.91541
p-value = 0.3937
Ha: not equal to 0
t = 2.9652
p-value = 0.02095
data: difference
W = 0.95788
p-value 0.7897
Student's t-test on Paired Samples: Analyzer A vs Analyzer B
Ha: less than 0
t = 2.9652
p-value = 0.9895
Ha: greater than 0
t = 2.9652
p-value = 0.01048
Wilcoxon Matched-Pairs Signed Ranks Test: Analyzer A vs Analyzer B
Ha: not equal to 0
Ha: less than 0
Ha: greater than 0
V = 27
V = 27
V = 27
p-value = 0.03461
p-value = 0.9888
p-value
0.01731
F-test for Equality of Variances
F = 1.1311
p-value = 0.856
Student's t-test on Two Independent Pop'n Means: Analyzer A vs Analyzer B
Ha: not equal to 0
Ha: less than 0.
Ha: greater than 0
t = 9.2109
t = 9.2109
t = 9.2109
p-value 0.00003668 p-value=1
p-value = 0.00001834
Welch's t-test on Two Independent Pop'n Means: Analyzer A vs Analyzer B
Ha: not equal to 0
Ha: less than 0
Ha: greater than 0
t = 9.4637
t = 9.4637
t = 9.4637
p-value = 1
p-value = 0.00003073
p-value = 0.00001537
Mann-Whitney Test on Two Independent Pop'n Means: Analyzer A vs Analyzer B
Ha: not equal to 0.
Ha: greater than 0
Ha: less than 0
W = 36
W = 36
W = 36
p-value = 0.01427
p-value = 0.9952
p-value
0.007133
Transcribed Image Text:2. CREATININE LEVEL PROBLEM Some statistics Analyzer A: mean = 105.75; median = 99.5 Analyzer B: mean = 97.5; median = 89.5 Let difference = Analyzer A - Analyzer B d=8.25 Md = 7 data: Analyzer A W = 0.88028 p-value = 0.1895 Wilk-Shapiro Test for Normality data: Analyzer B W = 0.91541 p-value = 0.3937 Ha: not equal to 0 t = 2.9652 p-value = 0.02095 data: difference W = 0.95788 p-value 0.7897 Student's t-test on Paired Samples: Analyzer A vs Analyzer B Ha: less than 0 t = 2.9652 p-value = 0.9895 Ha: greater than 0 t = 2.9652 p-value = 0.01048 Wilcoxon Matched-Pairs Signed Ranks Test: Analyzer A vs Analyzer B Ha: not equal to 0 Ha: less than 0 Ha: greater than 0 V = 27 V = 27 V = 27 p-value = 0.03461 p-value = 0.9888 p-value 0.01731 F-test for Equality of Variances F = 1.1311 p-value = 0.856 Student's t-test on Two Independent Pop'n Means: Analyzer A vs Analyzer B Ha: not equal to 0 Ha: less than 0. Ha: greater than 0 t = 9.2109 t = 9.2109 t = 9.2109 p-value 0.00003668 p-value=1 p-value = 0.00001834 Welch's t-test on Two Independent Pop'n Means: Analyzer A vs Analyzer B Ha: not equal to 0 Ha: less than 0 Ha: greater than 0 t = 9.4637 t = 9.4637 t = 9.4637 p-value = 1 p-value = 0.00003073 p-value = 0.00001537 Mann-Whitney Test on Two Independent Pop'n Means: Analyzer A vs Analyzer B Ha: not equal to 0. Ha: greater than 0 Ha: less than 0 W = 36 W = 36 W = 36 p-value = 0.01427 p-value = 0.9952 p-value 0.007133
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