Answered: In a study of spot number in beetles,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a study of spot number in beetles, which have normally-distributed spot counts, you collect 46 beetles from the wild and count their spots. The average spot count is 8.7. You estimate the heritability using parent-offspring regression, which gives an estimate of 0.83. Then you split the population into two classes: those with 9 or more spots and those with 8 or fewer spots. The first group has an average of 11.3 spots and the second has an average of 6.8 spots. The offspring produced by the first group (the larger beetles) have an average of 10.78 spots.

What is the expected mean of the second group?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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