a. Find the moment coefficient of kurtosis, a4, for the distribution (a) without and (b) with...

a. Find the moment coefficient of kurtosis, a4, for the distribution (a) without and (b) with Sheppard’s corrections.

b. Find the moment coefficient of kurtosis for the distribution (a) without and (b) with Sheppard’s corrections.

c. The fourth moments about the mean of the two distributions of Problem 5.34 are 230 and 780, respectively.

Which distribution more nearly approximates the normal distribution from the viewpoint of (a) peakedness and (b) skewness?

d. Which of the distributions (a) leptokurtic, (b) mesokurtic, and (c) platykurtic?

e. The standard deviation of a symmetrical distribution is 5. What must be the value of the fourth moment about the mean in order that the distribution be (a) leptokurtic, (b) mesokurtic, and (c) platykurtic?

f.(a) Calculate the percentile coefficient of kurtosis, K, for the distribution.

(b) Compare your result with the theoretical value 0.263 for the normal distribution, and interpret.