According to American time use survey the typical American spends 154.8 minutes per day watching television. A random survey of 50 internet user results in a mean time watching television per day of 128.7 minutes with a sample standard deviation of 46.5 minutes test the claim that internet users spend less time watching television

There is enough evidence to support the claim that internet users spend less time watching television.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 154.8 minutes per day

Sample mean, = 128.7 minutes

Sample size, n = 50

Alpha, α = 0.05

Sample standard deviation, s = 46.5 minutes

First, we design the null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Critical Value:

Now,  

Conclusion:

Since, the calculated test statistic is smaller than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there is enough evidence to support the claim that internet users spend less time watching television.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)