Question

Homework Chapter 7 i Saved Help Save & Exit S You received partial credit in the previous attempt. Check my work View previous atten A random sample is drawn from a population with mean z table.] = 51 and standard deviation O=4.3. [You may find it useful to reference the a. Is the sampling distribution of the sample mean with n=12 and n=38 normally distributed? points eBook Yes, both the sample means will have a normal distribution O No, both the sample means will not have a normal distribution O No, only the sample mean with n=12 will have a normal distribution No, only the sample mean with n= 38 will have a normal distribution Hint Print References b. Calculate the probability that the sample mean falls between 51 and 53 for n = 38. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability Grow Prev 1 of 10 Next > Type here to search

Answer 1

using formula Standard error Giren M=57 SEE io=4.3 Vn (9 lat m= 12 ,654.3 9.3 Sifa Vīz 1.24 af ms38, SF = 43 = 0.697 Here SE of n=16 is less than m=38 therefore n=38 will have normal distribution y the sample mean with a 38 C will have a normal distribution 53-5) BI P /si inc53) n = 38 P (403)58<? 4.3/ Var P.co<2<2.867) = P(Z <2.867 )- PC zco) = 0.9979–0.5 -0.4979 Probability = 10.4979