Question: The mean score on a certain achievement test at the turn of the century was 75.However, national standards have been implemented which may lead to

The mean score on a certain achievement test at the turn of the century was 75.However, national standards have been implemented which may lead to a change in the mean score.A random sample of 36 scores on this exam taken this year yielded the following data set. At a 10% significance level, test the claim that the mean of all current test scores is not the same as in 2000.

85 77 74 88 89 66 0 70 80
58 76 86 89 73 82 72 0 75
82 82 80 76 87 76 77 67 68
72 49 73 75 82 18 81 30

65

a. Give the null and alternative hypotheses for this test in symbolic form.
H0:
H1:

b.

Determine the value of the test statistic.

c.

Determine the appropriate critical value(s).

d Detemine the P-value.

e. Is there sufficient evidence to support the claim that the mean achievement score is now different than 75? Explain your reasoning.

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