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 99% 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 0.99 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

The sample size taken here is n-23. let, xi be the sample points and :=1 (1) 23 sample Mean = x= Exi. 599 = 26. 043 Mean Х Sample standard deviation (3) - A z(xi-x) ² Vn dat . 1. > 4.248 99% confidence interval of the mean Mis t = t score for agri. confidence = (26.043 1 2.819 x 4.248 ) with df =(n-1)= 22 * T23 ) = 2.819 [from t table] (261043 1 2:497) = (23.546 , 28. 540 ) Lower Bound = 23.546 apper Bound = 28. 540 2. The statement is False The confidence interval doesn't say that probability of M is 0.99 to be containd in the interval . The interval says that we are 99% confident- that the M of high school classes is contained in the above class.

The sample size taken here is n-23. let, xi be the sample points and :=1 (1) 23 sample Mean = x= Exi. 599 = 26. 043 Mean Х Sample standard deviation (3) - A z(xi-x) ² Vn dat . 1. > 4.248 99% confidence interval of the mean Mis t = t score for agri. confidence = (26.043 1 2.819 x 4.248 ) with df =(n-1)= 22 * T23 ) = 2.819 [from t table] (261043 1 2:497) = (23.546 , 28. 540 ) Lower Bound = 23.546 apper Bound = 28. 540 2. The statement is False The confidence interval doesn't say that probability of M is 0.99 to be containd in the interval . The interval says that we are 99% confident- that the M of high school classes is contained in the above class.