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. 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 α=0.02. Let μ1 be the mean score for the 30-second ads and μ2 be the mean score for the 60-second ads. Determine the hypotheses. Choose the correct answer below. A. H0:μ1=μ2 H1:μ1≠μ2 B. H0:μ1≠μ2 H1:μ1=μ2 C. H0:μ1≤μ2 H1:μ1>μ2 D. H0: μ1≥μ2 H1: μ1<μ2 t-stat= p-value= Hint from Tim: complete part B first...then come back to this part...if p < α, then reject Ho... __A__ H0. There is __B__ is evidence that the mean scores differ. A: do not reject or reject B: insufficient or suffcient Assuming that the population variances from both types of ads are equal, construct and interpret a 98% confidence interval estimate of the difference between the population mean score of the two types of ads. The confidence interval is __ ≤μ1−μ2≤ __. Interpret the confidence interval. Choose the correct answer below. A. One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is smaller than the lower bound. B. One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is larger than the upper bound. C. One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls outside this interval. D. One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls in this interval.

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. 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 α=0.02. Let μ1 be the mean score for the 30-second ads and μ2 be the mean score for the 60-second ads. Determine the hypotheses. Choose the correct answer below. A. H0:μ1=μ2 H1:μ1≠μ2 B. H0:μ1≠μ2 H1:μ1=μ2 C. H0:μ1≤μ2 H1:μ1>μ2 D. H0: μ1≥μ2 H1: μ1<μ2 t-stat= p-value= Hint from Tim: complete part B first...then come back to this part...if p < α, then reject Ho... A H0. There is B is evidence that the mean scores differ. A: do not reject or reject B: insufficient or suffcient Assuming that the population variances from both types of ads are equal, construct and interpret a 98% confidence interval estimate of the difference between the population mean score of the two types of ads. The confidence interval is ≤μ1−μ2≤ . Interpret the confidence interval. Choose the correct answer below. A. One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is smaller than the lower bound. B. One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is larger than the upper bound. C. One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls outside this interval. D. One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls in this interval.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

α=0.02.

Let μ1 be the mean score for the 30-second ads and μ2 be the mean score for the 60-second ads. Determine the hypotheses. Choose the correct answer below.

H0:μ1=μ2

H1:μ1≠μ2

H0:μ1≠μ2

H1:μ1=μ2

H0:μ1≤μ2

H1:μ1>μ2

H0: μ1≥μ2

H1: μ1<μ2

t-stat=

p-value=

Hint from Tim: complete part B first...then come back to this part...if p < α, then reject Ho...

__A__ H0. There is __B__ is evidence that the mean scores differ.

A: do not reject or reject

B: insufficient or suffcient

Assuming that the population variances from both types of ads are equal, construct and interpret a 98% confidence interval estimate of the difference between the population mean score of the two types of ads.

The confidence interval is

__ ≤μ1−μ2≤ __.

Interpret the confidence interval. Choose the correct answer below.

One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is smaller than the lower bound.

One can say with 2% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads is larger than the upper bound.

One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls outside this interval.

One can say with 98% confidence that the difference between the population mean score of the 30-second ads and the 60-second ads falls in this interval.

**Advertising Impact Study: 30-Second vs 60-Second Ads**

An annual championship event is the most widely watched television program, generating significant interest in the ads that appear during its broadcast. These ads typically run for either 30 or 60 seconds. The accompanying data represent the scores for ads of these durations, listed as follows:

| **30-Second Ads** | **60-Second Ads** |
|-------------------|-------------------|
| 40 | 27 |
| 25 | 70 |
| 35 | 57 |
| 36 | 51 |
| 47 | 54 |
| 42 | 50 |
| 22 | 20 |
| 31 | 31 |
| 51 | 33 |
| 51 | 42 |
| 51 | 64 |

**Statistical Analysis Task:**
a. Assuming that the population variances from the 30-second and 60-second ads are equal, determine if there is a significant difference in the mean score between the two types of ads.

Let $ \mu_1 $ be the mean score for the 30-second ads and $ \mu_2 $ be the mean score for the 60-second ads. Formulate the null and alternative hypotheses. Choose the correct answer below.

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