An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. In the experiment the golf balls were fired from an air cannon so that the incoming velocity and spin rate of the ball could be precisely controlled. It is of interest to determine if there is evidence (with a =0.05) to support a claim that the mean coefficient of restitution exceeds 0.82. The sample mean is 0.837 and the sample standard deviation is 0.0245. Assume the coefficients of restitution is Normally distributed. a. Test the hypothesis using the p-value approach b. Construct a 90% confidence interval of the mean coefficient of restitution. c. Based on the 90% confidence interval of the mean coefficient of restitution what would be your conclusion about the hypothesis we tested.

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An experiment was performed in which 15 drivers produced by a particular club maker were
selected at random and their coefficients of restitution measured. In the experiment the golf balls
were fired from an air cannon so that the incoming velocity and spin rate of the ball could be
precisely controlled. It is of interest to determine if there is evidence (with a = 0.05) to support a
claim that the mean coefficient of restitution exceeds 0.82. The sample mean is 0.837 and the
sample standard deviation is 0.0245. Assume the coefficients of restitution is Normally
distributed.
%3D
a. Test the hypothesis using the p-value approach
b. Construct a 90% confidence interval of the mean coefficient of restitution.
c. Based on the 90% confidence interval of the mean coefficient of restitution what would be
your conclusion about the hypothesis we tested.
A
Transcribed Image Text:Pane An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. In the experiment the golf balls were fired from an air cannon so that the incoming velocity and spin rate of the ball could be precisely controlled. It is of interest to determine if there is evidence (with a = 0.05) to support a claim that the mean coefficient of restitution exceeds 0.82. The sample mean is 0.837 and the sample standard deviation is 0.0245. Assume the coefficients of restitution is Normally distributed. %3D a. Test the hypothesis using the p-value approach b. Construct a 90% confidence interval of the mean coefficient of restitution. c. Based on the 90% confidence interval of the mean coefficient of restitution what would be your conclusion about the hypothesis we tested. A
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