As a member of the marketing team for a pasta manufacturer, you want to find out whether there's any difference in the mean number of people who would buy the new macaroni product, L-Bow Roni, if it had a red box if it had a blue box. In each session, you bring in 30 people to try L-Bow Roni and have them respond with whether they would buy this product over the competitor's product. Suppose you conducted 45 sessions with the red box and 60 sessions with the blue box. This data sheet gives you the number of yes responses to the survey for each session.

Note that the two samples are different sizes.

To determine whether this difference is significant, you need to find the standard deviation of the sample mean differences. For this task, you'll use this formula for the standard deviation of sample mean differences.

(See the photo I inserted for the formula)

In this formula, the subscripts M1 and M2 represent the means of the two samples, and are the standard
deviations of the two populations, and n1 and n2 are the sample sizes.

Part A

Use the spreadsheet's Average function (look under AutoSum in the Function menu) to calculate the
means.

Enter the correct value in each box. Use numerals instead of words, and round each value to the nearest hundredth.

The mean value of people who would purchase the red box is -.
The mean value of people who would purchase the Blue box is -.