Question

A statistics professor claims that the average score on the Final Exam was 83. A group of students believes that the average grade was lower than that. They wish to test the professor's claim at the  α=0.05α=0.05 level of significance. (Round your 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 scores shown below. Assuming that the test scores are normally distributed, 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 average Final Exam score was less than 83
• There is significant evidence to suggest that the average Final exam score was less than 83

Answer 1