In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 6. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 13 schools in the district. The results from the survey found that the overall mean was a score of 215.290 with a standard deviation of 1.260. With a = 0.025, perform a hypothesis test to determine if the variance is less than 6. Assume that the district standardized-test scores are normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho: 0² Ha:6² = 6 6

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Step 1 of 3. State the null and alternative hypotheses for the test.

 

Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places

 

Step 3 of 3. Draw a conclusion and interpret the decision.

In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board
wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 6. To
test this claim, they looked at the mean student scores for the standardized test from a random sample of 13 schools in the district. The
results from the survey found that the overall mean was a score of 215.290 with a standard deviation of 1.260. With a = 0.025, perform
a hypothesis test to determine if the variance is less than 6. Assume that the district standardized-test scores are normally distributed.
Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
H₁ : o² = 6
H₁
Ha:
: 6²
6
Transcribed Image Text:In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 6. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 13 schools in the district. The results from the survey found that the overall mean was a score of 215.290 with a standard deviation of 1.260. With a = 0.025, perform a hypothesis test to determine if the variance is less than 6. Assume that the district standardized-test scores are normally distributed. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H₁ : o² = 6 H₁ Ha: : 6² 6
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