Question

Question 2) Construct a 95% 2-sided confidence interval on the mean weight of the skittles.

48 students participated in evaluating small package of skittles. The following table shows the result of this study. Assume the weight of skittles are normally distributed with standard deviation of 2 grams. Net Weight Green Red Yellow Brown Orange Count 2923 Total 2978.4 576 589 641 531 586 Sample Mean 62.05

Answer 1

the weight of skittles is normally distributed with a standard deviation

0 = 2

Sample Mean X = Population Standard Deviation (0) = Sample Size (N) =

The critical value for a = 0.05 is ze = 21-0/2 = 1.96. The corresponding confidence interval is computed as shown below: C1 = (*-zex * + ze x V) = (62.05 – 1.96 78,62.05 + 1.968) = (61.484,62.616)

The 95%, 2-sided confidence interval on the mean weight of the skittles is grams

(61.48,62.62)