Question

The New York City school board wants to estimate the mean size μ of AP statistics classes in New York City high schools. The board obtained the following random sample of AP statistics class sizes: 24 29 29 23 25 24 33 26 24 29 27 26 22 32 24 21 19 29 31 26 29 31 16

Question 1. Use the data above to construct a 98% confidence interval for the mean class size μ. (calculate y and s to 3 decimal places). lower bound of confidence interval upper bound of confidence interval

Question 2. Mark the following statement as true or false: The probability is 0.98 that the mean size μ of high school classes is contained in the interval calculated above. One submission ONLY; no exceptions. True False

Answer 1

Sr.no	y	(yi-ybar)2
1	24	4.174
2	29	8.744
3	29	8.744
4	23	9.260
5	25	1.088
6	24	4.174
7	33	48.400
8	26	0.002
9	24	4.174
10	29	8.744
11	27	0.916
12	26	0.002
13	22	16.346
14	32	35.486
15	24	4.174
16	21	25.432
17	19	49.604
18	29	8.744
19	31	24.572
20	26	0.002
21	29	8.744
22	31	24.572
23	16	100.862
Total	599	396.957