Using the data from the sample of 49 students, a 99% confidence interval for the

Question

Using the data from the sample of 49 students, a 99% confidence interval for the average number of Facebook friends is found to be (425.0, 653.4). For each of the following statements, say whether VALID or INVALID.

a. We are 99% confident that the average number of Facebook friends the 49 students who were surveyed have is between 425 and 653.4.

b.  We are 99% confident that the average number of Facebook friends all such people have is between 425 and 653.4

c. About 99% of all such people have between 425 and 653.4 number of friends, on average.

Explanation / Answer

(a) INVALID

(b) VALID

(c) INVALID
EXPLANATION:

Confidence interval (425.0, 653.4) is a range of values so defined that there is a specified probability 99% that the value of the parameter lies within it. We are 99% confident that the average number of Facebook friends all such people have is between 425 and 653.4.

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