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The manager of a local record store is interested in the effectiveness of an advertising campaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100). and place an ad in the local school newspaper saying that the store has these (and more) in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for 1 week after the ad. The number of CDs sold each week is presented below. Was there an increase in the number of CDs sold after the ad? Conduct a 6-step hypothesis test. CD ABCDEFGHI J Number Number sold before sold after ad ad 25 18 3 42 16 20 23 32 60 40 SHIGAA3364 32 24 7 40 19 25 23 35 65

The manager of a local record store is interested in the effectiveness of an advertising campaign on sales. They randomly select 10 popular CDs (all in the Billboard top 100). and place an ad in the local school newspaper saying that the store has these (and more) in stock. They measure the sales of these 10 CDs for 1 week prior to the ad, and then for 1 week after the ad. The number of CDs sold each week is presented below. Was there an increase in the number of CDs sold after the ad? Conduct a 6-step hypothesis test. CD ABCDEFGHI J Number Number sold before sold after ad ad 25 18 3 42 16 20 23 32 60 40 SHIGAA3364 32 24 7 40 19 25 23 35 65

MATLAB: An Introduction with Applications
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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### Evaluating the Effectiveness of an Advertising Campaign: A Hypothesis Test The manager of a local record store is interested in assessing whether an advertising campaign has a significant impact on CD sales. To do this, they randomly select 10 popular CDs (all of which are in the Billboard top 100) and place an ad in the local school newspaper, stating that the store has these CDs (and more) in stock. The sales of these 10 CDs are measured for one week prior to running the ad and for one week after the ad. The following table summarizes the number of CDs sold each week: | CD | Number sold before ad | Number sold after ad | |-----|-----------------------|----------------------| | A | 25 | 32 | | B | 18 | 24 | | C | 3 | 7 | | D | 42 | 40 | | E | 16 | 19 | | F | 20 | 25 | | G | 23 | 23 | | H | 32 | 35 | | I | 60 | 65 | | J | 40 | 43 | ### Hypothesis Test: Was there an increase in the number of CDs sold? To determine if the advertising campaign effectively increased CD sales, we can conduct a 6-step hypothesis test. 1. **State the hypotheses:** - Null Hypothesis (H0): There is no significant difference in the number of CDs sold before and after the advertising campaign. - Alternative Hypothesis (HA): There is a significant increase in the number of CDs sold after the advertising campaign. 2. **Select the significance level (α):** - Typically, a significance level of 0.05 is used. 3. **Choose the appropriate test statistic:** - Since we are comparing the means of two related groups (before and after the ad), a paired t-test is appropriate. 4. **Calculate the test statistic:** - Use the sales data to compute the mean difference, standard deviation of the differences, and the t-statistic. 5. **Determine the critical value(s) and the decision rule:** - Determine the degrees of freedom (n-1, where n is the number of paired observations, i.e., 10).
Transcribed Image Text:### Evaluating the Effectiveness of an Advertising Campaign: A Hypothesis Test The manager of a local record store is interested in assessing whether an advertising campaign has a significant impact on CD sales. To do this, they randomly select 10 popular CDs (all of which are in the Billboard top 100) and place an ad in the local school newspaper, stating that the store has these CDs (and more) in stock. The sales of these 10 CDs are measured for one week prior to running the ad and for one week after the ad. The following table summarizes the number of CDs sold each week: | CD | Number sold before ad | Number sold after ad | |-----|-----------------------|----------------------| | A | 25 | 32 | | B | 18 | 24 | | C | 3 | 7 | | D | 42 | 40 | | E | 16 | 19 | | F | 20 | 25 | | G | 23 | 23 | | H | 32 | 35 | | I | 60 | 65 | | J | 40 | 43 | ### Hypothesis Test: Was there an increase in the number of CDs sold? To determine if the advertising campaign effectively increased CD sales, we can conduct a 6-step hypothesis test. 1. **State the hypotheses:** - Null Hypothesis (H0): There is no significant difference in the number of CDs sold before and after the advertising campaign. - Alternative Hypothesis (HA): There is a significant increase in the number of CDs sold after the advertising campaign. 2. **Select the significance level (α):** - Typically, a significance level of 0.05 is used. 3. **Choose the appropriate test statistic:** - Since we are comparing the means of two related groups (before and after the ad), a paired t-test is appropriate. 4. **Calculate the test statistic:** - Use the sales data to compute the mean difference, standard deviation of the differences, and the t-statistic. 5. **Determine the critical value(s) and the decision rule:** - Determine the degrees of freedom (n-1, where n is the number of paired observations, i.e., 10).
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