Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

A newspaper article reported that people spend a mean of 7 hours per day watching TV, with a standard deviation of 1.8 hours. A psychologist would like to conduct interviews with the 5% of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed. At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate

Sagot :

According to the confidence interval only persons who watch at least 9.9 hours TV per day are eligible.

According to the statement

we have given that the mean of 7 hours per day watching TV, and a standard deviation of 1.8 hours.

And we have to find that the At least how many hours of daily TV watching are necessary for a person to be eligible for the interview.

So, For this purpose,

The confidence interval is is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level.

Let us Assume x is the amount of hours that 5% of the persons exceeds.

Then P(z<(x-7)/1.8) = 0.95

From a standard normal table, we know that:

(x-7)/1.8 = 1.6449

x-7 = 2.9607

x = 9.9607

So, According to the confidence interval only persons who watch at least 9.9 hours TV per day are eligible.

Learn more about confidence interval here

https://brainly.com/question/17097944

#SPJ1

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.