part 2 Many people believe that the average number of Facebook friends is 140. T

Question

part 2

Many people believe that the average number of Facebook friends is 140. The population standard deviation is 37.2. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 160. At = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 140? Part 1 State the hypotheses and identify the claim with the correct hypothesis. claim not claim- This hypothesis test is a one-tailed test. Correct answer: 140 not claim->- | 140 claim one-tailed Part 2 out of 5 Find the critical value(s). Round the answer to two decimal places. Critical value is Show More

Explanation / Answer

As we are given the population standard deviation here, therefore Z test would be used here and therefore Z distribution would be used to get the critical value.

From the standard normal tables, we get here:

P( Z > 1.645 ) = 0.05

Therefore 1.65 is the critical value here for the test. ( rounded to the two decimal places )

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