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A random sample of 84 eighth grade​ students' scores on a national mathematics assessment test has...

A random sample of 84 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 294. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth-graders on this exam is more than 285. Assume that the population standard deviation is 31. At α = 0.10​, is there enough evidence to support the​ administration's claim?

Write out the hypotheses statements below and identify the parameter of interest.

Ho =

Ha. =

Which hypothesis represents the claim? Null Hypothesis (H0) or   Alternative Hypothesis (Ha)

Clearly label a sketch with appropriate shading and calculate the test statistic.

Would you reject or fail to reject the null hypothesis? Circle one: Reject H0or Fail to Reject H0

Write a conclusion in the context of this problem.

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