Question: Assuming the distribution of sepal width data is nearly normal and suppose that you select repeated samples of size 100 from this population and calculate

Assuming the distribution of sepal width data is nearly normal and suppose that you select repeated samples of size 100 from this population and calculate the mean for each sample.

a. Calculate the mean and standard deviation of the mean of 100 randomly chosen samples (Hint: central limit theorem).

b. What percentage of sepal width is between 3.10cm and 3.25cm? [Hint: use the mean and standard of the mean found in part a)]

c. Is 5 cm unusually high for sepal width? What about 2.10cm? Explain your reasoning. (Consider more than 2 standard deviations from the mean unusual)

d. How would doubling the sample size affect the standard deviation of the mean?

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