A researcher is comparing the amount of calories in two different lunch special pizzas: Hawaiian and pepperoni. Random samples of 30 Hawaiian and 30 pepperoni are taken. The mean amount of calories in the Hawaiian pizza was 800 calories with a standard deviation of 50 calories and the mean amount of calories in the pepperoni pizza was 1000 with a standard deviation of 100 calories. The population standard deviations are unknown but considered to be equal. What is the 99% confidence interval for the difference between the two population means? O Confidence Interval - (800- - 1000) ± 2.576₁ (50)² 30 Confidence Interval= (800-1000) + (2.663) (79.06, Confidence Interval=(800-1000) ± 2.663, (50) 30 Confidence Interval= (800-1000) + (2.576) (79.06. + (100)² 30 1 1 30 30 + (100)² 30 1 1 30 30 + )

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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A researcher is comparing the amount of calories in two different lunch special pizzas: Hawaiian and pepperoni.
Random samples of 30 Hawaiian and 30 pepperoni are taken. The mean amount of calories in the Hawaiian pizza
was 800 calories with a standard deviation of 50 calories and the mean amount of calories in the pepperoni pizza
was 1000 with a standard deviation of 100 calories. The population standard deviations are unknown but
considered to be equal. What is the 99% confidence interval for the difference between the two population
means?
O
Confidence Interval - (800- - 1000) ± 2.576₁
(50)²
30
Confidence Interval= (800-1000) + (2.663) (79.06,
Confidence Interval=(800-1000) ± 2.663,
(50)
30
Confidence Interval= (800-1000) + (2.576) (79.06.
+
(100)²
30
1
1
30 30
+
(100)²
30
1
1
30 30
+
)
Transcribed Image Text:A researcher is comparing the amount of calories in two different lunch special pizzas: Hawaiian and pepperoni. Random samples of 30 Hawaiian and 30 pepperoni are taken. The mean amount of calories in the Hawaiian pizza was 800 calories with a standard deviation of 50 calories and the mean amount of calories in the pepperoni pizza was 1000 with a standard deviation of 100 calories. The population standard deviations are unknown but considered to be equal. What is the 99% confidence interval for the difference between the two population means? O Confidence Interval - (800- - 1000) ± 2.576₁ (50)² 30 Confidence Interval= (800-1000) + (2.663) (79.06, Confidence Interval=(800-1000) ± 2.663, (50) 30 Confidence Interval= (800-1000) + (2.576) (79.06. + (100)² 30 1 1 30 30 + (100)² 30 1 1 30 30 + )
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