Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. H0: μ1 − μ2 = 0HA: μ1 − μ2 ≠ 0 x−1x−1 = 65x−2x−2 = 73 σ1 = 13.00σ2 = 1.53 n1 = 20n2 = 20 a-1.Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic? a-2.Approximate the p-value. multiple choice 10.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 p-value < 0.01 a-3.Do you reject the null hypothesis at the 5% level? multiple choice 2No, since the p-value is more than α.No, since the p-value is less than α.Yes, since the p-value is more than α. Yes, since the p-value is less than α. b.Using the critical value approach, can we reject the null hypothesis at the 5% level? multiple choice 3No, since the value of the test statistic is not less than the critical value of-1.645.No, since the value of the test statistic is not less than the critical value of -1.96.Yes, since the value of the test statistic is less than the critical value of -1.645.Yes, since the value of the test statistic is less than the critical value of -1.96.

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Description: Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. H0: μ1 − μ2 = 0HA: μ1 − μ2 ≠ 0 x−1x−1 = 65x−2x−2 = 73 σ1 = 13.00σ2 = 1.53 n1 = 20n2 = 20 a-1.Calculate the value

We have given that, H0: μ1 − μ2 = 0 HA: μ1 − μ2 ≠ 0 x−1 = 65 x−2= 73 σ1 =…

Answered: Calculate the value of the test…

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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Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations.

H₀: μ₁ − μ₂ = 0

H_A: μ₁ − μ₂ ≠ 0

x−1x−1 = 65	x−2x−2 = 73
σ₁ = 13.00	σ₂ = 1.53
n₁ = 20	n₂ = 20

a-1.

Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test statistic

a-2.	Approximate the p-value.

	multiple choice 1 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 p-value < 0.01

a-3.	Do you reject the null hypothesis at the 5% level?

	multiple choice 2 No, since the p-value is more than α. No, since the p-value is less than α. Yes, since the p-value is more than α. Yes, since the p-value is less than α.

b.	Using the critical value approach, can we reject the null hypothesis at the 5% level?

	multiple choice 3 No, since the value of the test statistic is not less than the critical value of-1.645. No, since the value of the test statistic is not less than the critical value of -1.96. Yes, since the value of the test statistic is less than the critical value of -1.645. Yes, since the value of the test statistic is less than the critical value of -1.96.

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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