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<83H0:μ=83H0:μ=83, H1:μ≠83H1:μ≠83H0:μ=83H0:μ=83, H1:μ>83H1:μ>83H0:μ≠83H0:μ≠83, H1:μ=83H1:μ=83H0:μ<83H0:μ<83, H1:μ=83H1:μ=83A 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 scores708682706891799766685166911007570test statistic (give 2 decimal places):Give the P-value (give 4 decimal places):

Name: A statistics professor claims that the average score on the Final Exam
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Description: 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 re

The correct hypothesis is given as: H0:μ=83H1:μ<83 Test statistic is given as: Test…

Answered: A statistics professor claims that the…

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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

70	86	82	70
68	91	79	97
66	68	51	66
91	100	75	70

test statistic (give 2 decimal places):

Give the P-value (give 4 decimal places):

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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