SCENARIO 3A survey claims that the average cost of a hotel room in Atlanta is $69.23. To test this claim, a researcher selects a sample of 30 hotel rooms and finds the average cost is $68.43. Assume the population standard deviation of $3.72. At a 0.05 significance level, is there enough evidence to reject the claim that the average cost of a hotel room in Atlanta is $69.23? Question 17 Listen Which test are you running? Question 17 options: One mean z-test One mean t-test ANOVA Chi-Square Goodness of Fit Question 18 Listen What is the null hypothesis? Question 18 options: Ho: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>=</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"} Ho: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>≠</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"} Question 19 Listen What is the alternative hypothesis? Question 19 options: Ha: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>=</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"} Ha: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>≠</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"} Question 20 Listen What is the test statistic? Round the answer to two decimal places. Question 20 options: Question 21 Listen What is the p-value? Round the answer to three decimal places. Question 21 options: Question 22 Listen What is the conclusion when you compare the p-value and the level of significance (alpha)? Question 22 options: Reject the null hypothesis Fail to reject the null hypothesis Question 23 Listen What is the conclusion based on the original claim? Question 23 options: At the 0.05 level of significance, the cost of a hotel room in Atlanta is $69.23. At the 0.05 level of significance, the cost of a hotel room in Atlanta is not $69.23

A sample of 30 hotel rooms, average cost is $68.43 n=30 x=68.43 The population SD(standard…

Answered: SCENARIO 3 A survey claims that 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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SCENARIO 3

A survey claims that the average cost of a hotel room in Atlanta is $69.23. To test this claim, a researcher selects a sample of 30 hotel rooms and finds the average cost is $68.43. Assume the population standard deviation of $3.72. At a 0.05 significance level, is there enough evidence to reject the claim that the average cost of a hotel room in Atlanta is $69.23?

Question 17

Listen

Which test are you running?

Question 17 options:

	One mean z-test
	One mean t-test
	ANOVA
	Chi-Square Goodness of Fit

Question 18

Listen

What is the null hypothesis?

Question 18 options:

	H_o: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>=</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"}
	H_o: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>≠</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"}

Question 19

Listen

What is the alternative hypothesis?

Question 19 options:

	Ha: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>=</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"}
	Ha: {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>μ</mi><mo>≠</mo><mo>$</mo><mn>69</mn><mo>.</mo><mn>23</mn></math>"}

Question 20

Listen

What is the test statistic? Round the answer to two decimal places.

Question 20 options:

Question 21

Listen

What is the p-value? Round the answer to three decimal places.

Question 21 options:

Question 22

Listen

What is the conclusion when you compare the p-value and the level of significance (alpha)?

Question 22 options:

	Reject the null hypothesis
	Fail to reject the null hypothesis

Question 23

Listen

What is the conclusion based on the original claim?

Question 23 options:

	At the 0.05 level of significance, the cost of a hotel room in Atlanta is $69.23.
	At the 0.05 level of significance, the cost of a hotel room in Atlanta is not $69.23

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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