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: |
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| b. | Determine the value of the test statistic. |
| c. | Determine the appropriate critical value(s). |
| d | Detemine the P-value. |
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| 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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