A statistics professor claims that the average score on theFinal Exam was 83. A group of students believes that the averagegrade was lower than that. They wish to test the professor's claimat the  α=0.05α=0.05 level of significance. (Roundyour results to three decimal places)
Which would be correct hypotheses for this test?
- H0:μ=83H0:μ=83, H1:μ≠83H1:μ≠83
- H0:μ≠83H0:μ≠83, H1:μ=83H1:μ=83
- H0:μ=83H0:μ=83, H1:μ>83H1:μ>83
- H0:μ=83H0:μ=83, H1:μ<83H1:μ<83
- H0:μ<83H0:μ<83, H1:μ=83H1:μ=83
A random sample of statistics students had the Final Exam scoresshown below. Assuming that the test scores are normallydistributed, use this sample to find the test statistic:
Final Exam scores
| 97 | 82 | 102 | 77 |
| 54 | 94 | 80 | 92 |
| 98 | 83 | 67 | 85 |
| 87 | 88 | 53 | 55 |
test statistic:
Give the P-value:
Which is the correct result:
- Reject the Null Hypothesis
- Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
- There is not significant evidence to suggest that the averageFinal Exam score was less than 83
- There is significant evidence to suggest that the average Finalexam score was less than 83
