The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40.4 yards, with a standard deviation of 1.9 yards. The team coach tells Marco to adjust his grip. The coach records the distances for 24 throws. For the 24 throws, Marco's mean distance was 41.3 yards. The coach thought the different grip made Marco throw more than 40.4 yards. Conduct a hypothesis test using an alpha level of 0.05. Assume the throw distances for footballs are normally distributed. Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for Ha Ho:= Ha:? 2. The Test Statistic type=?v To 4 decimal places, the Test Statistic amount = To 4 decimal places, the p-value = 3. For the rejection region, the critical value type=?v To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. O Reject the null hypothesis. O Fail to reject the null hypothesis.

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The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40.4 yards,
with a standard deviation of 1.9 yards. The team coach tells Marco to adjust his grip. The coach
records the distances for 24 throws. For the 24 throws, Marco's mean distance was 41.3 yards.
The coach thought the different grip made Marco throw more than 40.4 yards. Conduct a hypothesis
test using an alpha level of 0.05. Assume the throw distances for footballs are normally distributed.
Round answers to 4 decimals where possible.
1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for Ha
H₁:μ =
H₁:μ?
2. The Test Statistic type
To 4 decimal places, the Test Statistic amount =
To 4 decimal places, the p-value =
3. For the rejection region, the critical value type = ?v
To 4 decimal places, the critical value amount =
Make a decision using the rejection region method.
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
4. Is the p-value greater or less than a? ?v
Make a decision using the p-value method.
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
Transcribed Image Text:The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40.4 yards, with a standard deviation of 1.9 yards. The team coach tells Marco to adjust his grip. The coach records the distances for 24 throws. For the 24 throws, Marco's mean distance was 41.3 yards. The coach thought the different grip made Marco throw more than 40.4 yards. Conduct a hypothesis test using an alpha level of 0.05. Assume the throw distances for footballs are normally distributed. Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for Ha H₁:μ = H₁:μ? 2. The Test Statistic type To 4 decimal places, the Test Statistic amount = To 4 decimal places, the p-value = 3. For the rejection region, the critical value type = ?v To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. O Reject the null hypothesis. O Fail to reject the null hypothesis.
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