In: Statistics and Probability
DATAfile: HongKongMeals
You may need to use the appropriate appendix table or technology to answer this question.
The mean cost of a meal for two in a midrange restaurant in City A is $44. 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--- within higher than the upper limit of below the lower limit of the 95% confidence interval for comparable meals in Hong Kong. This suggests mean cost of comparable meals in Hong Kong is ---Select--- less than possibly the same as greater than in City A.