Answer and show complete solution (not excel) In a construction project, rivets from a Hardware will be used. A random sample of 15 holes (where the rivets will be inserted) were measured. The sample standard deviation of the hole diameter measurements is s=0.008 millimeters. a. Construct a 99% lower confidence bound for σ2. b. If the standard deviation of the hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit in the hole. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 mm? Use α=0.01. (State any necessary assumptions about the underlying distribution of the data and use the 8-step procedure for hypothesis testing.) c. Compute the P-value for the test done in (b).
Answer and show complete solution (not excel)
In a construction project, rivets from a Hardware will be used. A random sample of 15 holes (where the rivets will be inserted) were measured. The sample standard deviation of the hole diameter measurements is s=0.008 millimeters.
a. Construct a 99% lower confidence bound for σ2.
b. If the standard deviation of the hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit in the hole. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 mm? Use α=0.01. (State any necessary assumptions about the underlying distribution of the data and use the 8-step procedure for hypothesis testing.)
c. Compute the P-value for the test done in (b).
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