engineer who is studying the tensile strength of a steel alloy intended for use in golf afts knows that tensile strength is approximately normally distributed with s=25 random sample of 25 specimens has a mean tensile strength of x = 3490 psi. Test the hypothesis that the mean strength is NOT 3500 psi by using the p-value. Use α=0.05. Test the hypothesis in part (a) using a two-sided confidence interval on mean tensile strength.

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2. An engineer who is studying the tensile strength of a steel alloy intended for use in golf
club shafts knows that tensile strength is approximately normally distributed with s=25
psi. A random sample of 25 specimens has a mean tensile strength of x = 3490 psi.
(a) Test the hypothesis that the mean strength is NOT 3500 psi by using the p-value.
Use α=0.05.
(b) Test the hypothesis in part (a) using a two-sided confidence interval on mean
tensile strength.
Transcribed Image Text:2. An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with s=25 psi. A random sample of 25 specimens has a mean tensile strength of x = 3490 psi. (a) Test the hypothesis that the mean strength is NOT 3500 psi by using the p-value. Use α=0.05. (b) Test the hypothesis in part (a) using a two-sided confidence interval on mean tensile strength.
Expert Solution
Step 1

Given that 

Sample size n =25

Standard deviation s=25

Sample mean=3490

 

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2. An engineer who is studying the tensile strength of a steel alloy intended for use in golf
club shafts knows that tensile strength is approximately normally distributed with s=25
psi. A random sample of 25 specimens has a mean tensile strength of x = 3490 psi.
(a) Test the hypothesis that the mean strength is NOT 3500 psi by using the p-value.
Use α=0.05.
(b) Test the hypothesis in part (a) using a two-sided confidence interval on mean
tensile strength.
Transcribed Image Text:2. An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with s=25 psi. A random sample of 25 specimens has a mean tensile strength of x = 3490 psi. (a) Test the hypothesis that the mean strength is NOT 3500 psi by using the p-value. Use α=0.05. (b) Test the hypothesis in part (a) using a two-sided confidence interval on mean tensile strength.
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