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Question Help Consider a population of 200 with a mean of 60 and a standard devi

ID: 3356459 • Letter: Q

Question

Question Help Consider a population of 200 with a mean of 60 and a standard deviation equal to 21. What is the probabaity of odaining a sa Ito 21. What is the probability of oblaining a sample mean of 81 or less fiom a sample 45? of Click here to view page 1 of the Cumulative Standardized Normal Table. Click here to view page 2 of the Cumulative Standardized Normal Table. What is the probability of obtaining a sample mean of 61 or less from a sample of 45 P(x 61)- (Round to four decimal places as needed.)

Explanation / Answer

Mean is 60 and s is 21. for 45 sample size, the standard error SE is s/sqrt(N)=21/sqrt(45)=3.13

z is given as (x-mean)/s

P(xbar<61)=P(z<(61-60)/3.13)=P(z<0.32)

from normal distribution table we get 0.6255

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