Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day. International(10 bags)Domestic(15 bags)39472937435448363342462833293239543443356962383939(a-1) Does the evidence convince you that the mean weight of international bags is greater? Select the appropriate hypotheses. H0: μ1 − μ2 ≤ 0 vs H1: μ1 − μ2 > 0H0: μ1 − μ2 ≥ 0 vs H1: μ1 − μ2 < 0(a-2) At α = .05, what is the decision rule? Assume unequal variances. Use the quick rule for degrees of freedom. Reject the null hypothesis if tcalc > 1.833 (9 df.)Reject the null hypothesis if tcalc < 1.833 (9 df.)(a-3) Assume unequal variances. What is the test statistic? (Round the values of x⎯⎯1x¯1 and x⎯⎯2x¯2 bar to 2 decimal places and (s1)2 and (s2)2 to 4 decimal places. Round your answer to 4 decimal places.)

Given data: International Domestic 39 29 54 36 46 33 39 34 69 38 47 37 48 33 28…

Answered: Examine the data below showing the…

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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Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day.

International (10 bags)	Domestic (15 bags)
39	47	29	37	43
54	48	36	33	42
46	28	33	29	32
39	54	34	43	35
69	62	38	39	39

(a-1) Does the evidence convince you that the mean weight of international bags is greater? Select the appropriate hypotheses.

H₀: μ₁ − μ₂ ≤ 0 vs H₁: μ₁ −μ₂ > 0
H₀: μ₁ − μ₂ ≥ 0 vs H₁: μ₁ −μ₂ < 0

(a-2) At α = .05, what is the decision rule? Assume unequal variances. Use the quick rule for degrees of freedom.

Reject the null hypothesis if t_calc > 1.833 (9 df.)
Reject the null hypothesis if t_calc < 1.833 (9 df.)

(a-3) Assume unequal variances. What is the test statistic? (Round the values of x⎯⎯1x¯1 and x⎯⎯2x¯2 bar to 2 decimal places and (s₁)² and (s₂)² to 4 decimal places. 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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