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3. While Kevin's last round was not so great, people are curious to see if Kevin's population average score is lower than Ryan's. A sample

3. While Kevin's last round was not so great, people are curious to see if Kevin's population average score is lower than Ryan's. A sample of Ryan and Kevin's last 10 scores are used to test the hypothesis. Ryan's scores are as follows: 84, 79, 84, 88, 81, 77, 88, 81, 86, and 85. Kevin's scores are as follows: 87, 82, 76, 83, 82, 79, 82, 82, 81 and 73. Use the p-value method.

a. What is Kevin's sample mean for his last 10 scores?

b. What is Ryan's sample mean for his last 10 scores?

c. What is Kevin's sample standard deviation for his last 10 scores?

d. What is Ryan's sample standard deviation for his last 10 scores?

e. What is the value of the test statistic?

f. What is the approximate p-value?

g. Using a 5% level of significance, Can you conclude Kevin's population average score is lower than Ryan's?

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