C please An annual championship event is the most widely watched sporting event in a country each year. In recent​ years, there has been a great deal of interest in the ads that appear during the...

An annual championship event is the most widely watched sporting event in a country each year. In recent​ years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts​ (a) through​ (c).

a. Assuming that the population variances from the​ 30-second ads and the​ 60-second ads are​ equal, is there evidence of a difference in the mean score between the two types of​ ads? Use

Let

be the mean score for the​ 30-second ads and

be the mean score for the​ 60-second ads. Determine the hypotheses. Choose the correct answer below.

Find the test statistic.

​(Round to two decimal places as​ needed.)

Find the critical​ value(s).

negative 2.55 comma 2.55−2.55, 2.55

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

Choose the correct conclusion below.

There is

evidence that the mean scores differ.

b. Determine the​ p-value in​ (a) and interpret its meaning.

​(Round to three decimal places as​ needed.)

Interpret the​ p-value. Choose the correct answer below.

The​ p-value is the probability of obtaining a sample that yields a t test statistic

than the computed test statistic if there is no difference in the mean score between the​ 30-second ads and the​ 60-second ads.

c. Assuming that the population variances from both types of ads are​ equal, construct and interpret a

confidence interval estimate of the difference between the population mean score of the two types of ads.

The confidence interval is

​(Type an integer or decimal rounded to two decimal places as​ needed.)