The mean cost of a meal for two in a mid-range restaurant in Tokyo is $40 (Numbeo.comwebsite, December 14, 2014). How do prices for comparable meals in Hong Kong compare? The DATAfile HongKongMeals contains the costs for a sample of 42 recent meals for two in Hong Kong mid-range restaurants.

a. With 95% confidence, what is the margin of error (to 2 decimals)?

b. What is the 95% confidence interval estimate of the population mean (to 2 decimals)?

Meal Price ($)

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