Question 6 (1 point) Suppose that the weight of male babies less than 2 months o

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Question 6 (1 point) Suppose that the weight of male babies less than 2 months old is normally distributed witth What is the probability that the average weight of the sample is less than 11.44 pounds? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not unds. A sample of 36 babies is selected. write as a percentage. Your Answer Answer Save Question 7 (1 point) The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $ 2,652. Assume the standard deviation is $500. A real estate firm samples 100 apartments. What is the probability that the average rent of the sample is more than $ 2,706? Write only a number as your answer. Round to 4 decimal places (for example 0.1048). Do not write as a percentage Your Answer:

Explanation / Answer

6)

here std error =std deviation/sqrt(n)=2.7/sqrt(36)

also as zscore =(X-mean)/std error

hence P(Xbar<11.44)=P(Z<(11.44-11.5)/(2.7/sqrt(36)))=P(Z<-0.13)=0.4483 ( please try 0.4470 if this comes wrong due to rounding error)

7)

P(Xbar>2706)=P(Z>(2706-2652)/(500/sqrt(100))=P(Z>1.08)=0.1401

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