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.

MATLAB: An Introduction with Applications
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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.
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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
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