Q3. A typical person in America consumes 15.4 kilograms of meat, 5.5 kilograms of ice cream and drinks 149.3 liters of soda each year according to USA Today. A random sample of 20 people is selected and the following summary statistic are obtained. Meat (kg/year) Ice Cream (kg/year) Soda (L/year) 5.1 Sample Mean Sample Standard Deviation 16 154.5 1.2 1.85 19 Construct a 95% confidence interval for the population mean amount of meat (kilograms) consumed by Americans. b) Assuming that Central Limit Theorem holds and population variance is 4. Construct a 95% confidence interval for the population mean amount of meat (kilograms) consumed by Americans. c) Compare confidence intervals found in a and b. What are the reasons of difference?

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Q3. A typical person in America consumes 15.4 kilograms of meat, 5.5 kilograms of ice cream
and drinks 149.3 liters of soda each year according to USA Today. A random sample of 20
people is selected and the following summary statistic are obtained.
Meat
(kg/year)
Ice Cream (kg/year) Soda (L/year)
Sample Mean
Sample Standard
Deviation
16
5.1
154.5
1.2
1.85
19
a)
Construct a 95% confidence interval for the population mean amount of meat
(kilograms) consumed by Americans.
b)
Assuming that Central Limit Theorem holds and population variance is 4.
Construct a 95% confidence interval for the population mean amount of meat
(kilograms) consumed by Americans.
c)
Compare confidence intervals found in a and b. What are the reasons of
difference?
Transcribed Image Text:Q3. A typical person in America consumes 15.4 kilograms of meat, 5.5 kilograms of ice cream and drinks 149.3 liters of soda each year according to USA Today. A random sample of 20 people is selected and the following summary statistic are obtained. Meat (kg/year) Ice Cream (kg/year) Soda (L/year) Sample Mean Sample Standard Deviation 16 5.1 154.5 1.2 1.85 19 a) Construct a 95% confidence interval for the population mean amount of meat (kilograms) consumed by Americans. b) Assuming that Central Limit Theorem holds and population variance is 4. Construct a 95% confidence interval for the population mean amount of meat (kilograms) consumed by Americans. c) Compare confidence intervals found in a and b. What are the reasons of difference?
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