A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for 41 families traveling in Region 1 is $130 with a population standard deviation of $26. The mean daily lodging cost for 41 families traveling in Region 2 is $138 with a population standard deviation of $25. At α=0.10, is there enough evidence to reject the group's claim? Complete parts (a) through (e). (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. What is the claim? A. The mean daily lodging cost in Region 1 is less than Region 2. Your answer is not correct. B. The mean daily lodging cost in Region 1 is greater than Region 2. C. The mean daily lodging costs in Region 1 and Region 2 are different. D. The mean daily lodging costs in Region 1 and Region 2 are equal. This is the correct answer. What are Upper H 0H0 and Upper H Subscript aHa? A. Upper H 0H0: mu 1μ1greater than or equals≥mu 2μ2 Upper H Subscript aHa: mu 1μ1less than<mu 2μ2 B. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H Subscript aHa: mu 1μ1less than or equals≤mu 2μ2 C. Upper H 0H0: mu 1μ1less than or equals≤mu 2μ2 Upper H Subscript aHa: mu 1μ1greater than>mu 2μ2 D. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H Subscript aHa: mu 1μ1equals=mu 2μ2 E. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H Subscript aHa: mu 1μ1greater than or equals≥mu 2μ2 F. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H Subscript aHa: mu 1μ1not equals≠mu 2μ2 Your answer is correct. (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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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A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for

41 families traveling in Region 1 is $130 with a population standard deviation of $26.

The mean daily lodging cost for 41 families traveling in Region 2 is $138 with a population standard deviation of $25. At α=0.10, is there enough evidence to reject the group's claim? Complete parts (a) through (e).

(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the claim?

The mean daily lodging cost in Region 1 is less than Region 2.

Your answer is not correct.

The mean daily lodging cost in Region 1 is greater than Region 2.

The mean daily lodging costs in Region 1 and Region 2 are different.

The mean daily lodging costs in Region 1 and Region 2 are equal.

This is the correct answer.

What are

Upper H 0H0

and

Upper H Subscript aHa?

Upper H 0H0:

mu 1μ1greater than or equals≥mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than<mu 2μ2

Upper H 0H0:

mu 1μ1greater than>mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than or equals≤mu 2μ2

Upper H 0H0:

mu 1μ1less than or equals≤mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than>mu 2μ2

Upper H 0H0:

mu 1μ1not equals≠mu 2μ2

Upper H Subscript aHa:

mu 1μ1equals=mu 2μ2

Upper H 0H0:

mu 1μ1less than<mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than or equals≥mu 2μ2

Upper H 0H0:

mu 1μ1equals=mu 2μ2

Upper H Subscript aHa:

mu 1μ1not equals≠mu 2μ2

Your answer is correct.

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is/are

nothing.

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

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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