A random sample of 12-ounce milkshakes from 14 fast-food restaurants had the following number of calories. 504 399 580 476 450 591 510 700 608 472 642 613 573 375 Assume the population standard deviation is o = 90. a. Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval. b. Following is a dot plot of these data. Is it reasonable to assume that the population is approximately normal? 350 400 450 500 550 600 650 700 750 c. If appropriate, construct a 95% confidence interval for the mean number of calories for all 12-ounce milkshakes sold at fast-food restaurants. If not appropriate, explain why not

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A random sample of 12-ounce milkshakes from 14 fast-food restaurants had the following number of calories.
504
399
580
476
450
591
510
700
608
472
642
613
573
375
Assume the population standard deviation is o = 90.
a. Explain why it is necessary to check whether the population
is approximately normal before constructing a confidence
interval.
b. Following is a dot plot of these data. Is it reasonable to assume that the population is approximately normal?
350
400
450
500
550
600
650
700
750
c. If appropriate, construct a 95% confidence interval for the mean number of calories for all 12-ounce milkshakes sold at fast-food restaurants. If not appropriate, explain why not.
Transcribed Image Text:A random sample of 12-ounce milkshakes from 14 fast-food restaurants had the following number of calories. 504 399 580 476 450 591 510 700 608 472 642 613 573 375 Assume the population standard deviation is o = 90. a. Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval. b. Following is a dot plot of these data. Is it reasonable to assume that the population is approximately normal? 350 400 450 500 550 600 650 700 750 c. If appropriate, construct a 95% confidence interval for the mean number of calories for all 12-ounce milkshakes sold at fast-food restaurants. If not appropriate, explain why not.
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