16 23 14 23 24 18 24 22 15 25 20 25 17 26 10 26 15 27 19 27 22 28 17 28 11 29 18 29 21 30 14 30 16 20 31 31 32 18 32 13 18 33 24 33 34 19 34 18 35 16 35 20 22 36 16 36 6 37 13 37 13 38 18 38 39 10 39 15 20 16 40 40 41 11 41 17 42 13 42 20 14 43 20 43 21 44 20 44 14 45 11 45 46 19 Mean 47 13 48 13 49 1750 14 51 21 52 16 53 20 54 16 55 22 56 14 57 14 58 14 59 17 60 15Box Color Market Test for L-Bow-Roni Packaging Packaged in Red Box Packaged in Blue Box Number of People Who Number of People Who Session Number Session Number Would Purchase Would Purchase 13 15 14 IN 13 13 3 14 4 18 4 14 5 16 5 13 7 6 16 19 7 21 11 15 15 LD 16 10 18 10 14 11 19 11 15 12 20 12 15 13 12 13 14 14 15 14 13 15 18 15 14 16 11 16 15 17 21 17 18 18 17 18 20 19 12 19 21 20 11 20 18 21 18 21 17 22 15 22 219 Question Use the standard deviation values of the two samples to nd the standard deviation of the sample mean differences. Sample Standard Deviation red box 3.868 blue box 2.933 Then complete each statement. The sample size of the session regarding the number of people would purchase the red box, N1. is ' . The sample size of the session regarding the number of people would purchase the blue box , N3, is V . _I . I I I . _. r.l I IIII . . _ I nrn - I Idbrk a a Print Sample Mean Differences and Standard Deviation As a member of the marketing team for a pasta manufacturer. you want to nd 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 a 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 nd the standard deviation of the sample mean differences. For this task, you'll use this formula for the standard deviation of sample mean differences. 03 ,2 am,au,= EL'I'E} In this formula, the subscripts Mland Mgrepresent the means of the two samples, aland o-za re the standard deviations of the two populations, and inland were the sample sizes