Question
In: Statistics and Probability
To study the effect of curing temperature on shear strength of a certain rubber compound, 80...
To study the effect of curing temperature on shear strength of a certain rubber compound, 80 specimens were cured at 150°C and 105 were cured at 130°C. The specimens cured at 150°C had an average shear strength of 620 psi, with a standard deviation of 20 psi. Those cured at 130°C had an average shear strength of 750 psi, with a standard deviation of 30 psi. Let μXμX represent the population mean strength for the specimens cured at 130°C and let μYμY represent the population mean strength for the specimens cured at 150°C. Find a 95% confidence interval for the difference μX−μYμX−μY . Round the answers to two decimal places.
Solutions
Expert Solution
Solution:
• 95% CI for difference of ux - uy is:
(122.34, 137.66)
calculation:
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70°C
37
35
30
27
36
35
39
39
35
42
28
37
35
32
38
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Yield
100
56.17
110
72.28
120
75.68
130
73.30
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To study the effect of temperature on yield in a chemical process, five batches were produced...
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50°C
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70°C
32
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Temperature
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Source of
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Sum of
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Mean Square
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Temperature
50°C
60°C
70°C
31
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23
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Temperature
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60°C
70°C
34
28
27
24
29
32
36
32
32
39
21
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32
25
35
Construct an analysis of
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p-value to four decimal places.
To study the effect of temperature on yield in a chemical process, five batches were produced...
To study the effect of temperature on yield in a chemical
process, five batches were produced at each of three temperature
levels. The results follow.
Temperature
50°C
60°C
70°C
30
26
24
20
27
29
32
30
29
35
19
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28
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Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
Error
Total
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