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Description: A researcher randomly sampled 30 graduates of an MBA program and recorded data about their starting salaries. Of primary interest to the researcher is whether starting salaries differ based on gender. The researcher performs a pooled-variance t-test

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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A researcher randomly sampled 30 graduates of an MBA program and recorded data about their starting salaries. Of primary interest to the researcher is whether starting salaries differ based on gender. The researcher performs a pooled-variance t-test of the mean salaries of the females (Population 1) andmales (Population 2) in the sample. Assume α = 0.10.

What assumptions are necessary to conduct this hypothesis test?

		The samples were randomly and independently selected.
		Both populations of salaries (male and female) must have approximate normal distributions.
		The population variances are approximately equal.

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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Calculus For The Life Sciences

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