Question

A) How large a sample should be taken if the population mean is to be estimated with 99% confidence to within $82? The population has a standard deviation of $906. (Round your answer up to the next whole number.)

B) Assume that z is the test statistic. (Give your answers correct to two decimal places.)

(a) Calculate the value of z for H_o: μ = 51, σ = 4, n = 39, x = 48.6.


(b) Calculate the value of z for H_o: μ = 20, σ = 3.9, n = 77, x = 21.4.


(c) Calculate the value of z for H_o: μ = 138.5, σ = 3.8, n = 19, x = 141.02.


(d) Calculate the value of z for H_o: μ = 815, σ = 42.9, n = 65, x = 798.4.

Answer 1

Question-B a) Calculate the value of Z for Ho : μ 51,0 4; n 39 and x 48.6 48.6-51 4/39 -3.74699879903904 3./5 Round to 2 decim al place Hence, the required test statistic is: -3.75 b) Calculate the value of Z for Ho : μ = 20, σ= 3.9: n = 77 and x = 21.4