6. A consumer organization tested 12 brands of randomly selected brands of strawberry ice cream and found the following numbers of calories per serving. Assume that the number of calories per serving of strawberry ice cream is normally distributed. 230 270 260 260 Number of Calories in a Serving of Strawberry Ice Cream 250 210 240 230 230 190 210 200 A. What conditions would need to be met in order to calculate an appropriate confidence interval for this study? Are these conditions met? Justify your answer. (6 points) B. Find the sample mean number of calories. No work necessary. (2 points) C. Calculate an appropriate 90% confidence interval for this study. Show notation, formula, and calculations to 3 decimal places. (6 points) D. Interpret the interval you found in part C. (4 points) E. The consumer organization claims that there will be at least 250 calories in a serving of strawberry ice cream. What does your confidence interval indicate about this claim? (4 points) Q Search

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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6. A consumer organization tested 12 brands of randomly selected brands of strawberry ice cream and found the
following numbers of calories per serving. Assume that the number of calories per serving of strawberry ice
cream is normally distributed.
230
270
260
260
Number of Calories in a Serving of Strawberry Ice Cream
250
210
240
230
230
190
210
200
A. What conditions would need to be met in order to calculate an appropriate confidence interval for this study?
Are these conditions met? Justify your answer. (6 points)
B. Find the sample mean number of calories. No work necessary. (2 points)
C. Calculate an appropriate 90% confidence interval for this study. Show notation, formula, and calculations to 3
decimal places. (6 points)
D. Interpret the interval you found in part C. (4 points)
E. The consumer organization claims that there will be at least 250 calories in a serving of strawberry ice cream.
What does your confidence interval indicate about this claim? (4 points)
Q Search
Transcribed Image Text:6. A consumer organization tested 12 brands of randomly selected brands of strawberry ice cream and found the following numbers of calories per serving. Assume that the number of calories per serving of strawberry ice cream is normally distributed. 230 270 260 260 Number of Calories in a Serving of Strawberry Ice Cream 250 210 240 230 230 190 210 200 A. What conditions would need to be met in order to calculate an appropriate confidence interval for this study? Are these conditions met? Justify your answer. (6 points) B. Find the sample mean number of calories. No work necessary. (2 points) C. Calculate an appropriate 90% confidence interval for this study. Show notation, formula, and calculations to 3 decimal places. (6 points) D. Interpret the interval you found in part C. (4 points) E. The consumer organization claims that there will be at least 250 calories in a serving of strawberry ice cream. What does your confidence interval indicate about this claim? (4 points) Q Search
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