The following data is the math test scores of students graduating from a particular high school . The government uses these scores to determine if there will be accreditation awarded. In order for this to occur the mean score must be above 780. A sample of students scores is drawn at random and they take the test. The scores are in the following table and the population is considered a normal distribution. Test at the .01 level.
980 |
764 |
798 |
760 |
796 |
760 |
798 |
980 |
796 |
796 |
798 |
790 |
960 |
960 |
900 |
Perform a hypotheses test to determine if this school should get accreditation . State the appropriate hypothesis. Determine critical values. State clearly what the results of the hypothesis test means.
By decision region, we fail to reject Ho.
That is , there is not sufficient evidence to conclude that mean score is above 780.
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