Researchers wanted to know how the size of a bowl affects how much ice cream people tend to scoop for themselves. At an ice cream social, people were randomly given either a small bowl or a large bowl and were told to scoop as much as they wish.  Group 1: 15 people were given a small bowl. The average amount of ice cream they served was 6.2 oz with a standard deviation of 1.8 oz.  Group 2: 20 people were given a large bowl. The average amount of ice cream they served was 7.7 oz with a standard deviation of 2.6 oz.  You will perform a hypothesis test with significance level 0.05. Are the samples described in this problem independent or paired? When performing a hypothesis test with alpha = .05, what should the hypotheses be? What is the resulting test statistic, t? With alpha = 0.05, what conclusion do you make? Group of answer choices The p-value is > alpha. Reject the null hypothesis. We have evidence that there is a difference in the amount

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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Researchers wanted to know how the size of a bowl affects how much ice cream people tend to scoop for themselves. At an ice cream social, people were randomly given either a small bowl or a large bowl and were told to scoop as much as they wish. 

Group 1: 15 people were given a small bowl. The average amount of ice cream they served was 6.2 oz with a standard deviation of 1.8 oz. 

Group 2: 20 people were given a large bowl. The average amount of ice cream they served was 7.7 oz with a standard deviation of 2.6 oz. 

You will perform a hypothesis test with significance level 0.05.

Are the samples described in this problem independent or paired?

When performing a hypothesis test with alpha = .05, what should the hypotheses be?

What is the resulting test statistic, t?

With alpha = 0.05, what conclusion do you make?

Group of answer choices

The p-value is > alpha. Reject the null hypothesis. We have evidence that there is a difference in the amount of ice cream scooped.

The p-value is > alpha. Do not reject the null hypothesis. We do not have evidence that there is a difference in the amount of ice cream scooped.

The p-value is < alpha. Reject the null hypothesis. We have evidence that there is a difference in the amount of ice cream scooped.

The p-value is < alpha. Do not reject the null hypothesis. We do not have evidence that there is a difference in the amount of ice cream scooped.

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