Test whether he given claim is supported or not supported using a 0.05 significance level. Assume that the sample has been randomly selected from a population with a normal distribution.
-Researchers have claimed that the average number of headaches during a semester of Statistics is 18. Statistics professors dispute this claim vehemently. They believe the average is much higher. They sample 16 students and find the sample mean is 20 and the sample standard deviation is 3.0. Use a 0.05 significance level to test whether the claim that the average number of headaches is greater than 18 is supported or not supported.
A)not supported
B)supported

Question

Quizplus · Accepted Answer

The claim that the average number of headaches is greater than 18 is supported because the sample mean of 20 is significantly higher than the claimed mean of 18, given the sample size of 16 and a sample standard deviation of 3.0, at a 0.05 significance level. This suggests that the true population mean is likely higher than 18, supporting the professors' belief against the original claim.

Test Whether He Given Claim Is Supported or Not Supported