the distribution of GPA scores is known to be left skewed. At a large university
ID: 3153110 • Letter: T
Question
the distribution of GPA scores is known to be left skewed. At a large university, an english professor is interested in learning about the average GPA score of the english majors and minors. A simple random sample of 75 junior and senior English majors and minors results in an average GPA score of 2.97. Assume that the distribution of GPA scores for all English majors and minors at this university is also left skewed with a standard deviation of 0.62. a) for the 95% confidence interval in (2.830,3.110) there is 95% confidence that the interval is one that contains the population mean. True or false? B) For the 95% confidence interval in (2.830,3.110), the probability in .95 that the population mean is in it. True or false?
Explanation / Answer
a) for the 95% confidence interval in (2.830,3.110) there is 95% confidence that the interval is one that contains the population mean. True or false?
ANSWER: TRUE
B) For the 95% confidence interval in (2.830,3.110), the probability in .95 that the population mean is in it. True or false?
ANSWER: FALSE
Part a is the only correct way to interpret a confidence interval. The confidence level is not defined as a probability, so part b is not correct.
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