In: Statistics and Probability
Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. Based upon past studies the population standard deviation is known with $6. Round your answers to 2 decimal places. Use the critical value with 3 decimal places.
At 99% confidence, what is the margin of error?
Develop a 99% confidence interval estimate of the mean amount spent for lunch.
Amount |
20.50 |
14.63 |
23.77 |
29.96 |
29.49 |
32.70 |
9.20 |
20.89 |
28.87 |
15.78 |
18.16 |
12.16 |
11.22 |
16.43 |
17.66 |
9.59 |
18.89 |
19.88 |
23.11 |
20.11 |
20.34 |
20.08 |
30.36 |
21.79 |
21.18 |
19.22 |
34.13 |
27.49 |
36.55 |
18.37 |
32.27 |
12.63 |
25.53 |
27.71 |
33.81 |
21.79 |
19.16 |
26.35 |
20.01 |
26.85 |
13.63 |
17.22 |
13.17 |
20.12 |
22.11 |
22.47 |
20.36 |
35.47 |
11.85 |
17.88 |
6.83 |
30.99 |
14.62 |
18.38 |
26.85 |
25.10 |
27.55 |
25.87 |
14.37 |
15.61 |
26.46 |
24.24 |
16.66 |
20.85 |
Amount ( X ) | ||
20.5 | 1.0404 | |
14.63 | 47.4721 | |
23.77 | 5.0625 | |
29.96 | 71.2336 | |
29.49 | 63.5209 | |
32.7 | 124.9924 | |
9.2 | 151.7824 | |
20.89 | 0.3969 | |
28.87 | 54.0225 | |
15.78 | 32.9476 | |
18.16 | 11.2896 | |
12.16 | 87.6096 | |
11.22 | 106.09 | |
16.43 | 25.9081 | |
17.66 | 14.8996 | |
9.59 | 142.3249 | |
18.89 | 6.9169 | |
19.88 | 2.6896 | |
23.11 | 2.5281 | |
20.11 | 1.9881 | |
20.34 | 1.3924 | |
20.08 | 2.0736 | |
30.36 | 78.1456 | |
21.79 | 0.0729 | |
21.18 | 0.1156 | |
19.22 | 5.29 | |
34.13 | 159.0121 | |
27.49 | 35.6409 | |
36.55 | 225.9009 | |
18.37 | 9.9225 | |
32.27 | 115.5625 | |
12.63 | 79.0321 | |
25.53 | 16.0801 | |
27.71 | 38.3161 | |
33.81 | 151.0441 | |
21.79 | 0.0729 | |
19.16 | 5.5696 | |
26.35 | 23.3289 | |
20.01 | 2.2801 | |
26.85 | 28.4089 | |
13.63 | 62.2521 | |
17.22 | 18.49 | |
13.17 | 69.7225 | |
20.12 | 1.96 | |
22.11 | 0.3481 | |
22.47 | 0.9025 | |
20.36 | 1.3456 | |
35.47 | 194.6025 | |
11.85 | 93.5089 | |
17.88 | 13.2496 | |
6.83 | 215.7961 | |
30.99 | 89.6809 | |
14.62 | 47.61 | |
18.38 | 9.8596 | |
26.85 | 28.4089 | |
25.1 | 12.8164 | |
27.55 | 36.3609 | |
25.87 | 18.9225 | |
14.37 | 51.1225 | |
15.61 | 34.9281 | |
26.46 | 24.4036 | |
24.24 | 7.3984 | |
16.66 | 23.6196 | |
20.85 | 0.4489 | |
Total | 1377.28 | 2989.7358 |
Mean
Standard deviation
Confidence Interval :-
Critical value
Lower Limit =
Lower Limit = 19.5881
Upper Limit =
Upper Limit = 23.4519
99% Confidence interval is ( 19.59 , 23.45 )
Margin of Error =