The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the null hypothesis could be stated as p = 1550 psi B. p> 1550 psi C. µ# 1550 psi D. µ < 1550 psi For the same problem above, which could be a statement for the alternative hypothesis? p = 1550 psi B. p > 1550 psi C. µ + 1550 psi D. p < 1550 psi

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1. The strength of steel wire made by an existing process is normally distributed with a mean of 1550
and a standard deviation of 170. A batch of wire is made by a new process, and a random sample
consisting of 25 measurements gives an average strength of 1316. Assume that the standard
deviation does not change. Is there evidence at the 1% level of significance that the new process
gives a larger mean strength than the old? To answer this question, the null hypothesis could be
stated as
A. p = 1550 psi
B. p > 1550 psi
C. µ + 1550 psi
D. μ< 1550 psi
2. For the same problem above, which could be a statement for the alternative hypothesis?
A. p = 1550 psi
B. p > 1550 psi
C. µ + 1550 psi
D. μ< 1550 psi
Transcribed Image Text:1. The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the null hypothesis could be stated as A. p = 1550 psi B. p > 1550 psi C. µ + 1550 psi D. μ< 1550 psi 2. For the same problem above, which could be a statement for the alternative hypothesis? A. p = 1550 psi B. p > 1550 psi C. µ + 1550 psi D. μ< 1550 psi
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