Kindly Show Calculations Typed Please or on Excel Megastat Q.1) Suppose that we

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Kindly Show Calculations Typed Please or on Excel Megastat

Q.1) Suppose that we will randetomly select a sample of 64 measurements from a population having a mean equal to 25 and a standard deviation equal to 8.

a)Describe the shape of the sampling distribution of the sample mean .

b) Do we need to make any assumptions about the shape of the population? Why or why not?

c) Find the mean and the standard deviation of the sampling distribution of the sample mean .

d) Calculate the probability that we will obtain a sample mean greater than 26.

e) Calculate the probability that we will obtain a sample mean less than 23.

f) Calculate the probability that we will obtain a sample mean between 23 and 26.

Explanation / Answer

A. the shape will be approximately normal as n=64 is quite large enough to not need any more assumption about the population.

B.no, as n=64 is quite large enough to not need any more assumption about the population.

C. mean=25 given and standard dev=8/sr root of 64=8/8=1

D. Mean=25, stn dev=1, X=26

Z=X-mean/stn dev=(26-25)/1=1

P(Z>1)=0.0288

E. Z<1=0.577

F. 0<Z<1=0.977

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