A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers from this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following correctly interprets the 90% confidence interval for the true mean number of hours teenagers from this town watch sports?

90% of all teenagers from this town watch sports for the number of hours that lie between the values in the interval.
In repeated sampling, 90% of the time, the true mean number of hours teens from this town watch sports will be 6.25 hours.
The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
In repeated sampling, 90% of the time the true mean number of hours teens from this town watch sports will be captured in the constructed interval.

c. The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.

Step-by-step explanation:

got it right on edge

Answer Link

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-16T08:35:00+02:00

The statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

First, we will find the 90% confidence interval:

We have:

X = 6.25 hours, SD =4.33 hours, n = 40

90% confidence interval:

= (X±t×s/√n)

For 90% confidence interval:

t = t(n-1), 1-α/2 = t(39), 0.95 = 1.685

After putting all the values in the above confidence interval, formula:

We get:

Confidence interval = (5.097, 7.404)

Thus, the statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2