The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at α = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552multiple choice 1abcd (a-2) Calculate the tcalc. (Round your answer to 4 decimal places.) (a-3) Based on the t-value determined, choose the correct decision. multiple choice 2Fail to reject the null hypothesisReject the null hypothesis (a-4) Is the true mean mpg lower for the Ford Fusion? multiple choice 3YesNo (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

The question is about hypo. testing Given : Total no. of tanks of gas of company " T " ( n1 ) = 10…

Answered: The average mpg usage for a 2017 Toyota…

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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The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3.

Assuming equal variances, at α = .01, is the true mean mpg lower for the Ford Fusion?

(a-1) Choose the appropriate hypotheses.

H₀: μ_toy − μ_ford ≤ 0 vs. H₁: μ_toy − μ_ford > 0. Reject H₀ if t_calc > 2.552
H₀: μ_toy − μ_ford ≤ 0 vs. H₁: μ_toy − μ_ford > 0. Reject H₀ if t_calc < 2.552
H₀: μ_toy − μ_ford ≥ 0 vs. H₁: μ_toy − μ_ford < 0. Reject H₀ if t_calc < −2.552
H₀: μ_toy − μ_ford ≥ 0 vs. H₁: μ_toy − μ_ford < 0. Reject H₀ if t_calc > −2.552

multiple choice 1

(a-2) Calculate the t_calc. (Round your answer to 4 decimal places.)

(a-3) Based on the t-value determined, choose the correct decision.

multiple choice 2

Fail to reject the null hypothesis
Reject the null hypothesis

(a-4) Is the true mean mpg lower for the Ford Fusion?

multiple choice 3

(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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