Question

Help Save & A random sample is drawn from a normally distributed population with mean u = 26 and standard deviation o=2. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n= 34 and n=68 normally distributed? O Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. No, only the sample mean with n = 34 will have a normal distribution. No, only the sample mean with n = 68 will have a normal distribution. b. Calculate the probabilities that the sample mean is less than 26.6 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) n Probability 34 68 < Prey 2 of 4 !!! Next > 18 earch

Please give explanation

Answer 1

imeon (M)=26, o = 2 a) n = 34, n=68 a) For n=34 F = 2 J34 0.3429 oud For n=68 To a man २ 168 = 0.2425 Yes, both the sample meey will have normal distribution. Ans CASO b) no 30 n = 34 P. ca < 26:6) S-Mn) 26.6-26 P (za 450) 003429 PCZ.C. 1:749) 0.9591

n = 68 P cí: 26.6) 26.6-26 P(za 0.2425 2 P (z 22.47) 2 0.9932 Thak you