According to one study, brain weights of men are normally distributed with a mea

Question

According to one study, brain weights of men are normally distributed with a mean of

1.301.30

kg and a standard deviation of

0.150.15

kg. Use the data to answer questions (a) through (e).

I need help answering part D

According to one study, brain weights of men are nomally distributed with a mean of 1.30 kg and a standard deviation of 0.15 kg. Use the data to answer questions (a) through (e) a. Detemine the sampling distribution of the sample mean for samples of size 3 The mean of the sample mean is H 1.3. The standard deviation of the sample mean is o; 3.0866 (Round to four decimal places as needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. The mean of the sample mean is ps 1.3 The standard deviation of the sample mean is o: 0433 (Round to four decimal places as needed.) c. Construct a graph of the nommal ation distribution and the two sampling distributions for brain weights. Choose the comect graph below d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg. (Round to two decimal places as needed.)

Explanation / Answer

mean is 1.3

and std error =0.0866

hence P(1.3-0.1<X<1.3+0.1)=P(-0.1/0.0866<Z<0.1/0.0866)=P(-1.1547<Z<1.1547)=0.8759-0.1241=0.7518

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