Two independent samples are drawn from two populations, and the following information is provided. Population 1Population 2 n3452 sample mean550650 population sigma100120 We want to test the following hypotheses:H0: m1 – m2 ≥ 0 Ha: m1 – m2 < 0At 95% confidence, test the hypotheses. Assume the two populations are normally distributed and have equal variances. P value=0.284 Do Not Reject Null hypothesis, population proportion 1 is more than population proportion 2 P value=0.045 Do not Reject Null hypothesis, population proportion 1 is not more than population proportion 2 P value=0.36 Do not Reject Null hypothesis, population proportion 1 is not more than population proportion 2 P value=0 Reject Null hypothesis, population mean 1 is not more than population mean 2 P_Bar:z:P-Value:HyphothesesMean

Step 1: Formula for the z-statisticWe use the formula for the…

Answered: Two independent samples are drawn from…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section13.4: Multiple Regression Models

Problem 17P: The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He...

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Two independent samples are drawn from two populations, and the following information is provided.

	Population 1	Population 2
n	34	52
sample mean	550	650
population sigma	100	120
We want to test the following hypotheses:	H₀: m₁ – m₂ ≥ 0
	H_a: m_1 – m₂ < 0
At 95% confidence, test the hypotheses. Assume the two populations are normally distributed and have equal variances.

		P value=0.284 Do Not Reject Null hypothesis, population proportion 1 is more than population proportion 2
		P value=0.045 Do not Reject Null hypothesis, population proportion 1 is not more than population proportion 2
		P value=0.36 Do not Reject Null hypothesis, population proportion 1 is not more than population proportion 2
		P value=0 Reject Null hypothesis, population mean 1 is not more than population mean 2

P_Bar:

P-Value:

Hyphotheses

Mean

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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