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The makers of a soft drink want to identify the average age of its consumers. A sample of 52 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (Round your answers to three decimal places.) (a) Construct a 95% confidence interval for the true average age (in years) of the consumers. X years to 25.394 X years confidence interval for the true average age (in years) of the consumers. x years to 24.901 X years (b) Construct an 80% (c) Discuss why the 95% and 80% confidence intervals are different. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.

The makers of a soft drink want to identify the average age of its consumers. A sample of 52 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (Round your answers to three decimal places.) (a) Construct a 95% confidence interval for the true average age (in years) of the consumers. X years to 25.394 X years confidence interval for the true average age (in years) of the consumers. x years to 24.901 X years (b) Construct an 80% (c) Discuss why the 95% and 80% confidence intervals are different. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right.

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
Section10.3: Measures Of Spread
Problem 26PFA
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You may need to use the appropriate appendix table or technology to answer this question. The makers of a soft drink want to identify the average age of its consumers. A sample of 52 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (Round your answers to three decimal places.) ock (a) Construct a 95% confidence interval for the true average age (in years) of the consumers. X years to 25.394 X years (b) Construct an 80% confidence interval for the true average age (in years) of the consumers. X years to 24.901 X years (c) Discuss why the 95% and 80% confidence intervals are different. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. esc O As the sample size decreases and all else stays the same, the confidence interval becomes narrower. As the confidence level decreases and all else stays the same, the confidence interval becomes narrower. O As the confidence level decreases and all else stays the same, the confidence interval becomes wider. O As the sample size decreases and all else stays the same, the confidence interval becomes wider. Need Help? Read it Submit Answer 82°F Sunny /// A S Z I L Z alt x *** 3 E R DA с % V 5 T G 6 B HOLDER 4+ I & 7 144 ** N fo 8 hp الشال M flo DAI 9 K V alt h12 Insert prt sc ? ctrl 4 delete backspace pause home num lock enter 7 home T shift 5:37 PM 9/18/2022 200 08 65 00 سارت ب
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The makers of a soft drink want to identify the average age of its consumers. A sample of 52 consumers was taken. The average age in the sample was 24 years with a standard deviation of 5 years. (Round your answers to three decimal places.) ock (a) Construct a 95% confidence interval for the true average age (in years) of the consumers. X years to 25.394 X years (b) Construct an 80% confidence interval for the true average age (in years) of the consumers. X years to 24.901 X years (c) Discuss why the 95% and 80% confidence intervals are different. O Changing the confidence level or sample size while all else stays the same shifts the confidence interval left or right. esc O As the sample size decreases and all else stays the same, the confidence interval becomes narrower. As the confidence level decreases and all else stays the same, the confidence interval becomes narrower. O As the confidence level decreases and all else stays the same, the confidence interval becomes wider. O As the sample size decreases and all else stays the same, the confidence interval becomes wider. Need Help? Read it Submit Answer 82°F Sunny /// A S Z I L Z alt x *** 3 E R DA с % V 5 T G 6 B HOLDER 4+ I & 7 144 ** N fo 8 hp الشال M flo DAI 9 K V alt h12 Insert prt sc ? ctrl 4 delete backspace pause home num lock enter 7 home T shift 5:37 PM 9/18/2022 200 08 65 00 سارت ب
Expert Solution
Step 1

Given information:

The sample size is n=52.

The sample mean is x¯=24.

The sample standard deviation is s=5.

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