1. A teacher for a large math class wants to know if her students scored higher on the first exam than usual this semester. From prior experience, the test scores have a mean score of 85 and standard deviation 6.85. This semester, the average score for a random sample of 35 students in her class was 87 with standard deviation 7.5. Is there sufficient evidence to show that the class average this semester is higher than previous years? Support your answer with the p-value approach. Make sure to include everything required for a hypothesis test! (Assumptions, hypotheses, test statistic, decision and conclusion)

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Author:Amos Gilat
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1. A teacher for a large math class wants to know if her students scored higher on the first exam
than usual this semester. From prior experience, the test scores have a mean score of 85 and
standard deviation 6.85. This semester, the average score for a random sample of 35 students in
her class was 87 with standard deviation 7.5.
Is there sufficient evidence to show that the class average this semester is higher than previous
years? Support your answer with the p-value approach. Make sure to include everything required
for a hypothesis test! (Assumptions, hypotheses, test statistic, decision and conclusion)
Transcribed Image Text:1. A teacher for a large math class wants to know if her students scored higher on the first exam than usual this semester. From prior experience, the test scores have a mean score of 85 and standard deviation 6.85. This semester, the average score for a random sample of 35 students in her class was 87 with standard deviation 7.5. Is there sufficient evidence to show that the class average this semester is higher than previous years? Support your answer with the p-value approach. Make sure to include everything required for a hypothesis test! (Assumptions, hypotheses, test statistic, decision and conclusion)
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