Two new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of both models to see if they are the same. A partial computer output for twelve compact SUVs of model 1 and thirteen of model 2 is given below: You are told that the gas mileage population distributions for both models are not normally distributed.See Data What should be the null and alternative hypotheses of the test? H0 : M1 ≤ M2 vs. H1 : M1 > M2 H0 : M1 = M2 vs. H1 : M1 ≠ M2 H0 : M1 ≠ M2 vs. H1 : M1 = M2 H0 : M1 ≥ M2 vs. H1 : M1 < M2 **Data Analysis Overview****Level of Significance:** 0.05**Population 1 Sample:**- Sample Size: 12- Sum of Ranks: 192.5**Population 2 Sample:**- Sample Size: 13- Sum of Ranks: 132.5**Intermediate Calculations:**- Total Sample Size (n): 25This table provides a summary of the data used in a hypothesis test. The level of significance is set at 0.05, indicating a 5% risk of concluding that a difference exists when there is no actual difference. Population samples include sample sizes and their respective sums of ranks, which are key components often used in non-parametric tests, such as the Mann-Whitney U test, to determine if there are differences between two independent groups. The total sample size combines the sizes of both populations.

Null hypothesis (H0): The null hypothesis states that a population parameter (such as the mean, the…

Answered: Two new different models of compact…

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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Two new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of both models to see if they are the same. A partial computer output for twelve compact SUVs of model 1 and thirteen of model 2 is given below:

You are told that the gas mileage population distributions for both models are not normally distributed.

See Data

What should be the null and alternative hypotheses of the test?

		H0 : M1 ≤ M2 vs. H1 : M1 > M2
		H0 : M1 = M2 vs. H1 : M1 ≠ M2
		H0 : M1 ≠ M2 vs. H1 : M1 = M2
		H0 : M1 ≥ M2 vs. H1 : M1 < M2

**Data Analysis Overview**

**Level of Significance:** 0.05

**Population 1 Sample:**
- Sample Size: 12
- Sum of Ranks: 192.5

**Population 2 Sample:**
- Sample Size: 13
- Sum of Ranks: 132.5

**Intermediate Calculations:**
- Total Sample Size (n): 25

This table provides a summary of the data used in a hypothesis test. The level of significance is set at 0.05, indicating a 5% risk of concluding that a difference exists when there is no actual difference. Population samples include sample sizes and their respective sums of ranks, which are key components often used in non-parametric tests, such as the Mann-Whitney U test, to determine if there are differences between two independent groups. The total sample size combines the sizes of both populations.

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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