A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B. The population standard deviation for thread A is 5.61 and for thread B is 6.28. A random sample of 50 pieces of each type of thread was tested under similar conditions. Type A thread had an average tensile strength of 86.9 kilograms and Type B thread had an average tensile strength of 84.8 kilograms. Test to determine if there if thread A is greater than thread B using a 0.05 level of significance.
The p-value is:
a. |
0.0274 |
|
b. |
0.0548 |
|
c. |
0.0409 |
|
d. |
0.0392 |
Let population 1: Type A thread
population 2: Type B thread
Hence, correct option is d.
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