Question

TV Viewing. The A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ.

1. Identify the variable.
2. Identify the two populations.
3. Identify the pairs.
4. Identify the paired-difference variable.
5. Determine the mull and alternative hypotheses.
6. Classify the hypothesis test as two tailed, left tailed, or right tailed.

Short answer

1. TV viewing time is the variable.
2. The study's two populations are "married men" and "married women."
3. Married couple is the pair.
4. $Paireddifferencevariable=(TVviewingtimesofmarriedmen-TVviewingtimesofmarriedwomen)$
   
5. Null hypotheses : $H_0:{\mu }_M={\mu }_W$, Alternative hypotheses:$H_a:{\mu }_M\ne {\mu }_W$.
6. The hypotheses test is two tailed test.

Step-by-step solution

Part(a) Step 1: Given Information 

Given in the question that, the A. C. Nielsen Company collects data on Americans' television viewing habits and publishes it in the Nielsen Report on Television. Assume you wish to use a paired sample to see if married men and married women have different mean viewing times.

We have to identify the variable.

Part(a) Step 2: Explanation 

A variable is a measurement-able attribute or characteristic. Each unit's value for the variable may be different. As a result, the variable is known as the trait that is recorded for each occurrence.

Because the outcome of each effort can be evaluated and this value may change for each and every try, the variable "TV viewing time" was created using the supplied description.

Part (b) Step 1: Given Information 

Given in the question that, the A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television.

We have to identify the two populations.

Part (b) Step 2: Explanation 

The population refers to the total set of data that is examined for the study.

As a result, the study's two populations are "married men" and "married women."

Part (c) Step 1: Given Information 

We have to identify the pairs.

Part(c) Step 2: Explanation 

The pair is two-part information that has been linked together.

The couple is referred to as "married couples" here.

Part (d) Step 1: Given Information 

We have to identify the paired-difference variable.

Part (d) Step 2: Explanation 

"The difference between the TV viewing times of married men and the TV viewing times of married women" is the paired difference variable.

Part (e) Step 1: Given Information 

The mull and alternative hypotheses must be determined.

Part (e) Step 2: Explanation 

$H_0:{\mu }_M={\mu }_W$is the null hypothesis.

That is, the average viewing times of married men and married women are identical.

$H_a:{\mu }_M\ne {\mu }_W$is the alternative hypothesis.

That is, the average viewing times of married men and married women are different.

Part (f) Step 1: Given Information 

The hypothesis test must be classified as two-tailed, left-tailed, or right-tailed.

Part (f) Step 2: Explanation 

It is evident from part (e) that the hypotheses test is a two-tailed test.