Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms.You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted bySmith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and$25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston?State the hypotheses. (Let µ 1= mean hotel price in Atlanta and let u, = mean hotel price in Houston.)Hoi H1 - Hz< OHa: H1 - H2 zHoi Hy- H2 # 0Ha: H1 - H2 = 0Hoi H1- Mz>0Ha: H1 - 42 = 0Hoi H1- Hz =H3: H1 - H2 # 0Ho: H1 - H2 z0Ha: H1 - H2< 0Calculate the test statistic. (Round your answer to two decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-value :What is your conclusion?Reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.Do not reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.Reject Ho.There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.Do not reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston. A1AВ1Atlanta Houston28512536511041001051201206.11585712511586565990601011595117010512801151360751465100157090167511517651601880651985802095602185852285130238511024120952590902690125278090281151252911090301258531805532125150336012034105803511075361201053713038135391204090411154243

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Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and $25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? State the hypotheses. (Let u, = mean hotel price in Atlanta and let µ, = mean hotel price in Houston.) Ho: Hy - Hz < 0 Hgi Hy- Hz z O Hoi Hq - Hz#0 Hgi Hq- Hz = 0 Hoi Hy - Hz> 0 Hgi Hq - Hz = 0 Hoi Hq- Hz = 0 H3i Hq - H2 #0 Hoi Hy - Hz z O Hgi Hy- Hz

Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and $25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? State the hypotheses. (Let u, = mean hotel price in Atlanta and let µ, = mean hotel price in Houston.) Ho: Hy - Hz < 0 Hgi Hy- Hz z O Hoi Hq - Hz#0 Hgi Hq- Hz = 0 Hoi Hy - Hz> 0 Hgi Hq - Hz = 0 Hoi Hq- Hz = 0 H3i Hq - H2 #0 Hoi Hy - Hz z O Hgi Hy- Hz

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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms.
You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by
Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and
$25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston?
State the hypotheses. (Let µ 1
= mean hotel price in Atlanta and let u, = mean hotel price in Houston.)
Hoi H1 - Hz< O
Ha: H1 - H2 z
Hoi Hy- H2 # 0
Ha: H1 - H2 = 0
Hoi H1- Mz>0
Ha: H1 - 42 = 0
Hoi H1- Hz =
H3: H1 - H2 # 0
Ho: H1 - H2 z0
Ha: H1 - H2< 0
Calculate the test statistic. (Round your answer to two decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value :
What is your conclusion?
Reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.
Do not reject Ho. There is insufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.
Reject Ho.
There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.
Do not reject Ho. There is sufficient evidence to conclude that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston.

A1
A
В
1
Atlanta Houston
2
85
125
3
65
110
4
100
105
120
120
6.
115
85
7
125
115
8
65
65
9
90
60
10
115
95
11
70
105
12
80
115
13
60
75
14
65
100
15
70
90
16
75
115
17
65
160
18
80
65
19
85
80
20
95
60
21
85
85
22
85
130
23
85
110
24
120
95
25
90
90
26
90
125
27
80
90
28
115
125
29
110
90
30
125
85
31
80
55
32
125
150
33
60
120
34
105
80
35
110
75
36
120
105
37
130
38
135
39
120
40
90
41
115
42
43

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