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A Large University Is Interested in Learning About the Average H0\mathrm { H } _ { 0 }

Question 57

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A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 51 students and asked each to provide the amount of time they spent traveling to campus. The sample results found that the sample mean was 23.243 minutes and the sample standard deviation was 20.40 minutes. Find the rejection region for determining if the population standard deviation exceeds 20 minutes. Use α = 0.05. A) Reject H0\mathrm { H } _ { 0 } if z>1.645\mathrm { z } > 1.645
B) Reject H0\mathrm { H } _ { 0 } if χ2>67.5048\chi ^ { 2 } > 67.5048
C) Reject H0\mathrm { H } _ { 0 } if χ2>71.4202\chi ^ { 2 } > 71.4202
D) Reject H0\mathrm { H } _ { 0 } if χ2>34.7642\chi ^ { 2 } > 34.7642 2 Perform Test of Hypothesis for Population Variance

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