Find a 99% interval for the previous problem. (54.20, 65.80) O (50.40, 69.60) (51.36, 68.64) (54.48, 65.52)

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Question 7: find a 99% interval for the previous problem ..
Find a 99% interval for the previous problem.
(54.20, 65.80)
(50.40, 69.60)
(51.36, 68.64)
(54.48, 65.52)
Transcribed Image Text:Find a 99% interval for the previous problem. (54.20, 65.80) (50.40, 69.60) (51.36, 68.64) (54.48, 65.52)
A university wants to determine the population average grade
of all students who take a statistics class online. The grade
distribution of online statistics classes is normal. The average
grade of 20 online statistics classes is 60% with a standard
deviation of 15%. Find a 95% confidence interval for the
average grade of all online statistics classes.
(52.98, 67.02)
(53.43, 66.57)
(59.79, 60.21)
The sample size is too small to compute a confidence interval.
Transcribed Image Text:A university wants to determine the population average grade of all students who take a statistics class online. The grade distribution of online statistics classes is normal. The average grade of 20 online statistics classes is 60% with a standard deviation of 15%. Find a 95% confidence interval for the average grade of all online statistics classes. (52.98, 67.02) (53.43, 66.57) (59.79, 60.21) The sample size is too small to compute a confidence interval.
Expert Solution
Step 1

Given information

Sample size (n) = 20

Sample mean = 60%

Standard deviation (s) = 15%

Significance level (α) = 1 - 0.99 = 0.01

Since, here population standard deviation is unknown therefore using t-distribution.

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