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Week 15 Lesso...
ENGL. 121 Unit.
My Course - PS.
Topic: Back to S
Blackboard
Question
Dr. Frederick reads that the average weight of adult males in the U.S. is 170 pounds. He would like to test the weights of his male patients against this claim. He selects a random sample of 12 adult male patients and records their weights. The following is the data from this study. Assume that the weight of adult males is normally distributed.
- The alternative hypothesis \( H_{a}: \mu \neq 170 \).
- The sample mean weight of the 12 adult male patients is 174.67 pounds.
- The sample standard deviation is 15.76 pounds.
- The test statistic is calculated as 1.03 .
Values for right-tail areas under the \( t \)-distribution curve
\begin{tabular}{|c|c|c|c|c|c|}
\hline Probability & 0.10 & 0.05 & 0.025 & 0.01 & 0.005 \\
\hline Degrees of Freedom & & & & & \\
\hline 10 & 1.372 & 1.812 & 2.228 & 2.764 & 3.169 \\
\hline 11 & 1.363 & 1.796 & 2.201 & 2.718 & 3.106 \\
\hline 12 & 1.356 & 1.782 & 2.179 & 2.681 & 3.055 \\
\hline 13 & 1.350 & 1.771 & 2.160 & 2.650 & 3.012 \\
\hline 14 & 1.345 & 1.761 & 2.145 & 2.624 & 2.977 \\
\hline 15 & 1.341 & 1.753 & 2.131 & 2.602 & 2.947 \\
\hline 16 & 1.337 & 1.746 & 2.120 & 2.583 & 2.921 \\
\hline 17 & 1.333 & 1.740 & 2.110 & 2.567 & 2.898 \\
\hline 18 & 1.330 & 1.734 & 2.101 & 2.552 & 2.878 \\
\hline 19 & 1.328 & 1.729 & 2.093 & 2.539 & 2.861 \\
\hline
\end{tabular}
e the graph below to select \( n \), set the type of test (left-, right-, or two-tailed), and select the \( t \) test statistic to find the rresponding \( p \)-value. Alternatively, you may use the \( t \)-table above.