In 1905 R Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight”. According to the study, brain weights of Swedish men are normally distributed with a mean of 1.4 kg and a standard deviation of 0.11 kg. Determine the sampling distribution of the sample mean for samples of size 3. Repeat part (a) for samples of size 12. That is, for parts (a) and (b) discuss the distribution, mean and standard deviation of the sample means for the different sample sizes. Use Excel to construct graphs similar to those shown in Fig 7.4 on page 321 in the textbook. Hand in your excel output and show the data you used to construct the plots, as well as the plots  Do you need to assume that brain weights of Swedish men are normally distributed to answer parts (a) and (b)? Explain your answer

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