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Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o Ha:o (So we will be performing a left-tailed 11.1 11.1. ▼ Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. ✓✓test.) Because we are testing the population standard deviation, we will use a x² distribution with 16 ✓degrees of freedom. P(x²? Step 3: Find the p-value of the test statistic. Sample Mean: I = Sample Standard Deviation: s= p-value = Part 3 of 4

Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o Ha:o (So we will be performing a left-tailed 11.1 11.1. ▼ Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. ✓✓test.) Because we are testing the population standard deviation, we will use a x² distribution with 16 ✓degrees of freedom. P(x²? Step 3: Find the p-value of the test statistic. Sample Mean: I = Sample Standard Deviation: s= p-value = Part 3 of 4

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o Ha:o (So we will be performing a left-tailed 11.1 11.1 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. Because we are testing the population standard deviation, we will use a x² distribution with 16 ✓degrees of freedom. P(x² ? ✓✓test.) Step 3: Find the p-value of the test statistic. Sample Mean: = Sample Standard Deviation: s = p-value = Submit Part Part 3 of 4
Transcribed Image Text:Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Perform a hypothesis test using a 1% level of significance to test Londell's claim. Step 1: State the null and alternative hypotheses. Ho:o Ha:o (So we will be performing a left-tailed 11.1 11.1 Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. Because we are testing the population standard deviation, we will use a x² distribution with 16 ✓degrees of freedom. P(x² ? ✓✓test.) Step 3: Find the p-value of the test statistic. Sample Mean: = Sample Standard Deviation: s = p-value = Submit Part Part 3 of 4
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