Question

Previously, an organization reported that teenagers spent an average of 4.5 hours per week on the phone. The organization thinks that the current mean is higher. To test the claim, fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Suppose that a hypothesis test is conducted to test the claim that the mean hours is more than 4.5 hours per week. What are the hypotheses for the test?

Answer 1

Answer:

H₀: μ ≤ 4.5

H₁: μ > 4.5

Step-by-step explanation:

Hello!

Your Study variable is X: "hours per week spend on the phone by a teenager"

The objective of this experiment is to test if the mean of the hours per week spends on the phone is higher than 4.5 (current known population mean).

Symbolically μ > 4.5

So your statistic hypothesis is defined:

H₀: μ ≤ 4.5

H₁: μ > 4.5

Remember, when determinating the hypothesis, the "=" sign is always in the null hypothesis. Since it is in the null hypothesis were the "no change" or the current information is tested. If you were to reject it, then you could assume that the population mean is greater than 4.5 but if you do not reject it, then, as known before, the population mean is at least 4.5.

I hope it helps!