Please HELP! 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 and 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.

om₁ - om₂ =

In this formula, the subscripts M₁ and M₂ represent the means of the two samples, o₁ and o₂ are the standard deviations of the two populations, and n₁ and n₂ are the sample sizes.