Question Three (20 points): For the HW 4.8 page 176 only use the provided information but don't compute (a,b,c,d). The tested hypothesis is
H_(o): μ = 125 vs. H_(a): μ > 125
Compute
(a) P(type one error) and explain its meaning.
(b) Suppose the new mean is μ = 129 compute P (type two error) and the power of the test. You may use google.
4.8. The tensile strength of a fiber used in manufacturing cloth is of interest to the purchaser. Previous experience indicates that the standard deviation of tensile strength is 2 psi. A random sample of eight fiber specimens is selected, and the average tensile strength is found to be 127 psi.
(a) Test the hypothesis that the mean tensile strength equals 125 psi versus the alternative that the mean exceeds 125 psi. Use α = 0.05.
(b) What is the P-value for this test?
(c) Discuss why a one-sided alternative was chosen in part (a).
(d) Construct a 95% lower confidence interval on the mean tensile strength.
Question Three (20 points): For the HW 4.8 page 176 only use the provided information but don't compute (a,b,c,d). The tested hypothesis is
H_o: μ = 125 vs. H_a: μ > 125
Compute
(a) P(type one error) and explain its meaning.
(b) Suppose the new mean is μ = 129 compute P (type two error) and the power of the test. You may use google.
4.8. The tensile strength is 2 psi. A random sample of eight fiber specimens is selected, and the average tensile strength is found to be 127 psi.
(a) Test the hypothesis that the mean tensile strength equals 125 psi versus the alternative that the mean exceeds 125 psi. Use α = 0.05.
(b) What is the P-value for this test?
(c) Discuss why a one-sided alternative was chosen in part (a).
(d) Construct a 95% lower confidence interval on the mean tensile strength.