Question

Use the Central Limit Theorem to ind the mean and standard error of the mesn of the sampling distribuSon. Then sketch a graph of the sampling distributiorn The mean price of photo printers on a weosite is $221 with: standard dev ation of S82 Random samples of sze 20 are drawn from this population and the mean of each sample is determined The mean of the distribution of sample means is The standard deviation of the distribution of sample means i Type an integer or decimal rounded to three decimal places as needed. Sketch a graph of the sampling distribution. Choose the correct answer below. A. B. Ос. D. 218221224 24.6 prica(in S) Mean price n Mean price in Mean prica(in S)

Answer 1

mean of distribution of sample means = $221

std dev of distribution of sample means = s/√n = 62/√26= 12.159

-----------------

x bar -3s = 221 - 3*12.159 = 184.5

x bar + 3s = 221* +3*12.159 = 257.5

so, for sketch , option c) is answer

-----------------------------------

µ =    64500              
σ =    5600              
n=   36              
left tailed                  
X ≤    61500              
                  
Z =   (X - µ )/(σ/√n) =   -3.214          
                  
P(X ≤   61500   ) = P(Z ≤   -3.214   ) =   0.0007 or 0.07%

so, option a) is answer