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The population mean and standard deviation are given below. Find the indicated p

ID: 3048038 • Letter: T

Question

The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n-38. find the probability of a sample mean being less than 12749 or greater than 12,752 when -12.749 and -22. For the given sample, the probability of a sample mean being less than 12,749 or greater than 12,752 is Round to four decimal places as needed.) Would the given sample mean be considered unusual? OA. The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range O B. The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range C O D. The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range. The sample mean would be considered unusual because there is a probability less than 0.05 of the sample mean being within this range

Explanation / Answer

hence probability that mean less than 12749 and greater than 12752

option A is correct

for normal distribution z score =(X-)/ here mean=       = 12749.000 std deviation   == 2.2 sample size       =n= 38 std error=x=/n= 0.3569
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