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Compute the statistical test using the z test and decide what to do with the null

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A sample of 40 households with school-age children in Middletown was randomly selected. The mean length of time was 7.6 years, with a standard deviation of 2.3 years. A sample of 55 households in Brockton revealed the mean length of time was 8.1 years, with a standard deviation of 2.9 years. At the .05 level of significance, can we conclude the Middletown students stayed in their districts less time than the Brockton students? Use the five-step hypothesis testing procedure.

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The solution provides answer to a question on hypothesis testing using the z distribution. The null is examined.

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A sample of 40 households with school-age children in Middletown was randomly selected. The mean length of time was 7.6 years, with a standard deviation of 2.3 years. A sample of 55 households in Brockton revealed the mean length of time was 8.1 years, with a standard deviation of 2.9 years. At the .05 level of significance, can we conclude the Middletown students stayed in their districts less time than the ...

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