In the following study the city of Calgary was interested in knowing the number of hours per month that families in two areas of the city made use of a recreational facility. It was also interested to know if there was a difference between the two areas. A sample of size n = 45 families were selected from Area 1 resulting in a mean (hours used per family per month) of 15.6 and a standard deviation of 4.5. A second sample of size m = 50 families were selected from Area 2 resulting in a mean (hours used per family per month) of 20.7 and a standard deviation of 3.7.

1. Determine 95% confidence limits for the mean of Area 1.

a) 14.904 to 16.296 b) 14.749 to 16.451 c) 14.594 to 16.606 d) 14.440 to 16.760 e) 14.285 to 16.915 f) 14.130 to 17.070 g) 13.976 to 17.225 h) 13.821 to 17.379 i) 13.666 to 17.534 j) 13.511 to 17.689

2. Determine 99% confidence limits for the mean of Area 1.

a) 14.924 to 16.2764 b) 14.774 to 16.427 c) 14.623 to 16.577 d) 14.473 to 16.727 e) 14.323 to 16.877 f) 14.172 to 17.028 g) 14.022 to 17.178 h) 13.872 to 17.328 i) 13.722 to 17.479 j) 13.571 to 17.629

3. Determine 95% confidence limits for the mean of Area 2.

a) 20.358 to 21.042 b) 20.282 to 21.118 c) 20.206 to 21.194 d) 20.130 to 21.270 e) 20.054 to 21.346 f) 19.978 to 21.422 g) 19.902to 21.498 h) 19.826 to 21.574 i) 19.750 to 21.650 j) 19.674 to 21.726

4. Determine 99% confidence limits for the mean of Area 2.

a) 20.215 to 21.185 b) 20.107 to 21.293 c) 19.999 to 21.401 d) 19.891 to 21.509 e) 19.783 to 21.617 f) 19.676 to 21.725 g) 19.568 to 21.832 h) 19.460 to 21.940 i) 19.352 to 22.048 j) 19.244 to 22.156

5. Determine 95% confidence limits for the difference in means between Area 2 and Area 1.

a) 3.735 to 6.465 b) 3.333 to 6.667 c) 3.129 to 7.071 d) 2.826 to 7.374 e) 2.522 to 7.678 f) 2.219 to 7.981 g) 1.916 to 8.284 h) 1.613 to 8.587 i) 1.309 to 8.890 j) 1.006 to 9.194

6. Determine 99% confidence limits for the difference in means between Area 2 and Area 1.

a) 3.583 to 6.617 b) 3.245 to 6.955 f) 1.897 to 8.303 g) 1.559 to 8.641 c) 2.808 to 7.192 h) 1.222 to 8.978 d) 2.571 to7.629 e) 2.234 to 7.966 i) 0.885 to 9.315 j) 0.548 to 9.652