Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of...

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Part 1 of 4<br>Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a<br>26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race<br>times (in minutes):<br>227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7<br>Perform a hypothesis test using a 9% level of significance to test Victoria's claim.<br>Step 1: State the null and alternative hypotheses.<br>Ho:o 2v 17.5<br>H:o <v 17.5<br>(So we will be performing a left-tailed<br>test.)<br>Part 2 of 4<br>Step 2: Assuming the null hypothesis is true, determine the features of the distribution of<br>test statistics.<br>Because we are testing the population standard deviation, we will use a x<br>distribution with 10<br>v degrees of freedom.<br>Part 3 of 4<br>Step 3: Find the p-value of the test statistic.<br>Sample Mean: T =<br>237.4364<br>Sample Standard Deviation: s =<br>21.37<br>P(x s 17.5<br>0.73<br>p-value =<br>12.2114286 ×<br>Question Help: D Post to forum<br>

Extracted text: Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. Ho:o 2v 17.5 H:o

Jun 10, 2022
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