A company tested 11 random brands vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through e. 140 160 140 120 130 100 160 160 100 130 90 O Is the Randomization Condition met or is the sample suitably representative? O No O Yes is the 10% Condition met? O Yes O No Is the Independence Assumption met? O Yes O No O I t cannot be determined from the information given. Is the Nearly Normal Condition met? O Yes O No b) Find a 95% oonfidence interval for the average calorie content of vanilla yogurt per serving. (Round to two decimal places as needed.) c) A diet guide claims that you will get an average of 118 calories from a serving of vanilla yogurt. What does this evidence indicate? Use your confidence interval to test an appropriate hypothesis and state your conclusion.

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A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through c.
140 160
140
120
130
100
160
160 100
130 90
Is the Randomization Condition met or is the sample suitably representative?
O No
Yes
Is the 10% Condition met?
Yes
O No
Is the Independence Assumption met?
Yes
No
It cannot be determined from the information given.
Is the Nearly Normal Condition met?
Yes
O No
b) Find a 95% confidence interval for the average calorie content of vanilla yogurt per serving.
(Round to two decimal places as needed.)
c) A diet guide claims that you will get an average of 118 calories from a serving of vanilla yogurt. What does this evidence indicate? Use your confidence interval to test an appropriate hypothesis and state your conclusion.
O A. We can be 95% confident that the interval contains the true average calorie content per serving of yogurt. The diet guide's claim is outside the interval, so the claim is not reasonable.
O B. There is a 95% chance that the true average calorie content per serving of yogurt is within the interval. The diet guide's claim is outside the interval, so the claim is not reasonable.
Oc. There is a 95% chance that the true average calorie content per serving of yogurt is within the interval. The diet guide's claim is within the interval, so the claim is reasonable.
O D. We can be 95% confident that the interval contains the true average calorie content per serving of yogurt. The diet guide's claim is within the interval, so the claim
reasonable.
Transcribed Image Text:A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through c. 140 160 140 120 130 100 160 160 100 130 90 Is the Randomization Condition met or is the sample suitably representative? O No Yes Is the 10% Condition met? Yes O No Is the Independence Assumption met? Yes No It cannot be determined from the information given. Is the Nearly Normal Condition met? Yes O No b) Find a 95% confidence interval for the average calorie content of vanilla yogurt per serving. (Round to two decimal places as needed.) c) A diet guide claims that you will get an average of 118 calories from a serving of vanilla yogurt. What does this evidence indicate? Use your confidence interval to test an appropriate hypothesis and state your conclusion. O A. We can be 95% confident that the interval contains the true average calorie content per serving of yogurt. The diet guide's claim is outside the interval, so the claim is not reasonable. O B. There is a 95% chance that the true average calorie content per serving of yogurt is within the interval. The diet guide's claim is outside the interval, so the claim is not reasonable. Oc. There is a 95% chance that the true average calorie content per serving of yogurt is within the interval. The diet guide's claim is within the interval, so the claim is reasonable. O D. We can be 95% confident that the interval contains the true average calorie content per serving of yogurt. The diet guide's claim is within the interval, so the claim reasonable.
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