Answered: Use a 0.1 significance level to test…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Are the flight delay times the same for two different airlines?

For the following test, assume that the two samples are independent simple random samples selected from normally distributed populations and that the population standard deviations are equal (σ1σ1 = σ2σ2) so that the standard error of the difference between means is obtained by pooling the sample variances.

In the table below are the statistics for the flight arrival delay times for flights traveling between city A and city B for two airlines; "Pink" and "Flamingo" airlines. Independent simple random samples of 22 flights from "Pink" and 22 "Flamingo" flights were selected.

Pink	Flamingo
n₁ = 22	n₂ = 22
xˉx̄₁ = 47.1 min	xˉx̄₂ = 52.1 min
s₁ = 1 min	s₂ = 0.5 min

Use a 0.1 significance level to test the claim that the mean amount of delayed flight times between the two airlines is the same.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)

H₀:

H₁:

Original Claim =

df =

Based on the hypotheses, find the following:

Test Statistic = (Round to three decimal places.)

Critical value(s) = ± (Round to three decimal places.)

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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