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A random sample of 86 eighth grade? students' scores on a national mathematics assessment test has a mean score of 292.

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 37.

At alpha=0.09, is there enough evidence to support the? administrator's claim? Complete parts? (a) through? (e).

?(a) Write the claim mathematically and identify Null and alt hypothesis.

B) Calculate the standardized test statistic. (round to two decimal places as needed.

c) What is the P value? (round to three decimal places if needed

d) What is the outcome? Conclusion?

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