Question

Many people believe that the average number of Facebook friends is 130. The population standard deviation is 38.2. A random sample of 50 high school students in a particular county revealed that the average number of Facebook friendswas 162. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 130?

Step 1: State hypotheses by filling in the symbol (=, <, >, or not equal) and the population mean:

H_o:  μ _____ _____

H₁: μ _____ _____

Step 2: Find the critical value (from the table) (example: 2.34 or -2.34 or +/- 2.34)

Critical z value is: ______

Step 3: Compute the test value using the formula (round to two decimal places, example 6.45):

Z test value is: ______

Step 4: Reject the null or do not reject the null (type in either Reject the null or do not reject the null only):_________

Step 5: Conclusion sentence (type in either is or is not only, to reflect what you found):

There _____________ enough evidence to support the claim that the mean number of friends on Facebook is greater than 130.

Answer 1