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3. To determine whether chocolate or vanilla ice cream is more popular, the owner of the Zootie ice cream shop takes a random sample of vanilla and chocolate ice cream sales for several days. For the 14 days sampled, an average of 25 people bought vanilla and 30 people bought chocolate each day. The standard deviations were 1.9 and 2.3, respectively. The distribution of sales of both flavors is assumed to be normal, but the variances are unknown. For both a and b, use a significance level of 0.05. а) Determine whether there is statistical evidence that the variances in ice cream sales for vanilla and chocolate are equal. b) Based on your answer in part a, conduct an appropriate hypothesis test to determine if vanilla and chocolate differ in average daily sales.

3. To determine whether chocolate or vanilla ice cream is more popular, the owner of the Zootie ice cream shop takes a random sample of vanilla and chocolate ice cream sales for several days. For the 14 days sampled, an average of 25 people bought vanilla and 30 people bought chocolate each day. The standard deviations were 1.9 and 2.3, respectively. The distribution of sales of both flavors is assumed to be normal, but the variances are unknown. For both a and b, use a significance level of 0.05. а) Determine whether there is statistical evidence that the variances in ice cream sales for vanilla and chocolate are equal. b) Based on your answer in part a, conduct an appropriate hypothesis test to determine if vanilla and chocolate differ in average daily sales.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. To determine whether chocolate or vanilla ice cream is more popular, the owner of the Zootie ice cream shop takes a random sample of vanilla and chocolate ice cream sales for several days. For the 14 days sampled, an average of 25 people bought vanilla and 30 people bought chocolate each day. The standard deviations were 1.9 and 2.3, respectively. The distribution of sales of both flavors is assumed to be normal, but the variances are unknown. For both a and b, use a significance level of 0.05. a) Determine whether there is statistical evidence that the variances in ice cream sales for vanilla and chocolate are equal. b) Based on your answer in part a, conduct an appropriate hypothesis test to determine if vanilla and chocolate differ in average daily sales.
Transcribed Image Text:3. To determine whether chocolate or vanilla ice cream is more popular, the owner of the Zootie ice cream shop takes a random sample of vanilla and chocolate ice cream sales for several days. For the 14 days sampled, an average of 25 people bought vanilla and 30 people bought chocolate each day. The standard deviations were 1.9 and 2.3, respectively. The distribution of sales of both flavors is assumed to be normal, but the variances are unknown. For both a and b, use a significance level of 0.05. a) Determine whether there is statistical evidence that the variances in ice cream sales for vanilla and chocolate are equal. b) Based on your answer in part a, conduct an appropriate hypothesis test to determine if vanilla and chocolate differ in average daily sales.
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