The mean cost of a meal for two in a midrange restaurant in City A is $40. How do prices for comparable meals in Hong Kong compare? The file HongKongMeals contains the costs for a sample of 42 recent meals for two in Hong Kong midrange restaurants. 22.78 33.89 22.77 18.04 23.29 35.28 42.38 36.88 38.55 41.68 25.73 34.19 31.75 25.24 26.32 19.57 36.57 32.97 36.83 30.17 37.29 25.37 24.71 28.79 32.83 43.00 35.23 34.76 33.06 27.73 31.89 38.47 39.42 40.72 43.92 36.51 45.25 33.51 29.17 30.54 26.74 37.93 (a) With 95% confidence, what is the margin of error for the estimated mean cost in dollars for a mid-range meal for two in Hong Kong? (Round your answer to the nearest cent.) $   (b) What is the 95% confidence interval estimate of the population mean cost in dollars for a mid-range meal for two in Hong Kong? (Round your answers to the nearest cent.) $  to $  (c) How do prices for meals for two in mid-range restaurants in Hong Kong compare to prices for comparable meals in City A restaurants? The mean cost for a mid-range meal for two in City A is  ---Select--- below the lower limit of higher than the upper limit of within  the 95% confidence interval for comparable meals in Hong Kong. This suggests mean cost of comparable meals in Hong Kong is  ---Select--- greater than  possibly the same as less than  in City A.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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The mean cost of a meal for two in a midrange restaurant in City A is $40. How do prices for comparable meals in Hong Kong compare? The file HongKongMeals contains the costs for a sample of 42 recent meals for two in Hong Kong midrange restaurants.
22.78 33.89 22.77 18.04 23.29 35.28 42.38
36.88 38.55 41.68 25.73 34.19 31.75 25.24
26.32 19.57 36.57 32.97 36.83 30.17 37.29
25.37 24.71 28.79 32.83 43.00 35.23 34.76
33.06 27.73 31.89 38.47 39.42 40.72 43.92
36.51 45.25 33.51 29.17 30.54 26.74 37.93
(a)
With 95% confidence, what is the margin of error for the estimated mean cost in dollars for a mid-range meal for two in Hong Kong? (Round your answer to the nearest cent.)
$  
(b)
What is the 95% confidence interval estimate of the population mean cost in dollars for a mid-range meal for two in Hong Kong? (Round your answers to the nearest cent.)
$  to $ 
(c)
How do prices for meals for two in mid-range restaurants in Hong Kong compare to prices for comparable meals in City A restaurants?
The mean cost for a mid-range meal for two in City A is  ---Select--- below the lower limit of higher than the upper limit of within  the 95% confidence interval for comparable meals in Hong Kong. This suggests mean cost of comparable meals in Hong Kong is  ---Select--- greater than  possibly the same as less than  in City A.
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