population mean and standard deviation are given below Find the indicated probab

Question

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 sam ple or n-40 find the probability of a sample mean being less than 12,750 or greater than 12,753 when-12750 and -1 7 For the given sample, the probability of a sample mean being less than 12,750 or greater than 12,753 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? O A. 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 not be considered unusual because there is a probability less than 0 05 of the sample mean being within this range ° C The sample mean would be considered unusual because there is a probability less than 0 05 of the sample mean being within this range. O D. The sample mean would be considered unusual because there is a probability greater than 0 05 of the sample mean being within this range

Explanation / Answer

Ans:

z=(x-12750)*sqrt(40)/1.7

z(12750)=(12750-12750)*sqrt(40)/1.7=0

z(12753)=(12753-12750)*sqrt(40)/1.7)=11.16

P(z<0)=0.5

P(z>11.16)=0

So,probability sample mean less than 12750 or greater than 12753=P(z<0 or z>11.16)=0.5+0=0.5

Option A is correct(not unusual as probability of being in above range is >0.05)

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