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The Number of Calories in a 12 -Ounce Serving of Randomly-Selected

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The number of calories in a 12 -ounce serving of randomly-selected regular and lite beers is listed. Is there sufficient evidence to conclude that the mean number of calories for lite beers is significantly less than that for the regular beers? Use α=0.10\alpha = 0.10 . Assume the variables are approximately normally distributed.
 Regular: 13612112890141149119138132120112172133 Lite: 10011010510311599123137121156\begin{array} { l c c c c c c c c } \text { Regular: } & 136 & 121 & 128 & 90 & 141 & 149 & 119 & 138 \\ & 132 & 120 & 112 & 172 & 133 & & & \\\\ \text { Lite: } & 100 & 110 & 105 & 103 & 115 & 99 & 123 & 137 \\ & 121 & 156 & & & & & & \end{array} a.State the hypotheses.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

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