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Sally, a recent graduate of the University of Arkansas, accepted a position as an event coordinator for a major marketing firm. Sally's first task is to organize a convention of retailers and manufactures of private label store brands. She wants to select a city that has low hotel cost. She has narrowed her choice to Atlanta and New Orleans. She collects sample data on 25 hotels in both cities for a 5 night stay. Since there is a vast amount of historical data for hotel prices in both cities, she finds the known variance to be $125 in Atlanta and $150 in New Orleans. Can she conclude that there is a difference in hotel cost between the two cities? If there is a difference, she will use that information and select the city with the lower cost. The level of significance is .10. If appropriate, you should assume unequal variances. z-Test: Two Sample for Mears t-Test: Two-Sample Assuming Unequal Variances Atlonta New Orleons Atlonta New Orleons Mean 1629.90476 181154879 Мean 1629.90476 181154879 Known Variance 125 150 Variance 125 150 Observations 25 25 Observations 25 25 Hypothesized Mean Difference Hypothesized Mean Difference JP t Stat -1774 48 P(Z<=z) one tail z Critical one-tail 0.0357 -1.5516149 P(T<=t} one-tail t Critical one tail 1.28155157 0.0578 P(Z<=z) two-tail z Critical two-tail 0.0714 1.29943888 P(T<=t} two-tail t Critical two-tail 164485363 0.1156 16772242 t-Test: Paired Two Sample for Means z-Test: Two Sample for Proportions Atlonta New Orleans Mean 1629.90476 181154879 Atlanta New Orlegns Variance 125 150 Sample Proportion 0.1629 0.1811 Observations 25 25 Observations 25 25 Hypothesized Difference Z Stat Pearson Correlation 1 Hypothesized Mean Difference -2.0249019 24 P(Zcal onetail om143872

Sally, a recent graduate of the University of Arkansas, accepted a position as an event coordinator for a major marketing firm. Sally's first task is to organize a convention of retailers and manufactures of private label store brands. She wants to select a city that has low hotel cost. She has narrowed her choice to Atlanta and New Orleans. She collects sample data on 25 hotels in both cities for a 5 night stay. Since there is a vast amount of historical data for hotel prices in both cities, she finds the known variance to be $125 in Atlanta and $150 in New Orleans. Can she conclude that there is a difference in hotel cost between the two cities? If there is a difference, she will use that information and select the city with the lower cost. The level of significance is .10. If appropriate, you should assume unequal variances. z-Test: Two Sample for Mears t-Test: Two-Sample Assuming Unequal Variances Atlonta New Orleons Atlonta New Orleons Mean 1629.90476 181154879 Мean 1629.90476 181154879 Known Variance 125 150 Variance 125 150 Observations 25 25 Observations 25 25 Hypothesized Mean Difference Hypothesized Mean Difference JP t Stat -1774 48 P(Z<=z) one tail z Critical one-tail 0.0357 -1.5516149 P(T<=t} one-tail t Critical one tail 1.28155157 0.0578 P(Z<=z) two-tail z Critical two-tail 0.0714 1.29943888 P(T<=t} two-tail t Critical two-tail 164485363 0.1156 16772242 t-Test: Paired Two Sample for Means z-Test: Two Sample for Proportions Atlonta New Orleans Mean 1629.90476 181154879 Atlanta New Orlegns Variance 125 150 Sample Proportion 0.1629 0.1811 Observations 25 25 Observations 25 25 Hypothesized Difference Z Stat Pearson Correlation 1 Hypothesized Mean Difference -2.0249019 24 P(Zcal onetail om143872

MATLAB: An Introduction with Applications
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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Sally, a recent graduate of the University of Arkansas, accepted a position as an event coordinator for a major marketing firm. Sally's first task is to organize a convention of retailers and manufactures of private label store brands. She wants to select a city that has low hotel cost. She has narrowed her choice to Atlanta and New Orleans. She collects sample data on 25 hotels in both cities for a 5 night stay. Since there is a vast amount of historical data for hotel prices in both cities, she finds the known variance to be $125 in Atlanta and $150 in New Orleans. Can she conclude that there is a difference in hotel cost between the two cities? If there is a difference, she will use that information and select the city with the lower cost. The level of significance is .10. If appropriate, you should assume unequal variances. z-Test: Two Sample for Means t-Test: Two-Sample Assuming Unequal Variances Atlonta New Orleons Atlonta New Orleons Mean 1629.90476 181154879 Мean 1629.90476 181154879 Known Variance 125 150 Variance 125 150 Observations 25 25 Observations 25 25 Hypothesized Mean Difference Hypothesized Mean Difference JP t Stat -1774 48 P(Z<=z) one tail z Critical one-tail P(Z<=z) two-tail z Critical two-tail 0.0357 -1.5516149 P(T<=t} one-tail t Critical one tail 1.28155157 0.0578 0.0714 129943888 P(T<=t} two-tail t Critical two-tail 164485363 0.1156 16772242 t-Test: Paired Two Sample for Means z-Test: Two Sample for Proportions Atlonta New Orleans Mean 1629.90476 181154879 Atlanta New Orlegns Variance 125 150 Sample Proportion 0.1629 0.1811 Observations 25 25 Observations 25 25 Hypothesized Difference Z Stat Pearson Correlation 1 Hypothesized Mean Difference -2.0249019 P(Z<=) one-tail z Critical one-tail df 24 0.02143872 t Stat P(T<=t} one-tail t Critical one-tail P(T<=t} two-tail t Critical two-tail -1.5516149 164485363 P(Z<=) two-tail z Critical two-tail 0.0578 0.04287744 1.29943888 1.95996398 0.1156 16772242 Based on the output that is most appropriate for solving this scenario, what is your conclusion about the hypothesis? Fail to Reject HO; there is no difference in hotel prices; she will select Atlanta Reject HO; there is no difference in hotel prices; she will select Atlanta Reject HO; there is a difference in hotel prices; she will select Atlanta Fail to Reject HO; there is a difference in hotel prices; she will select Atlanta
Transcribed Image Text:Sally, a recent graduate of the University of Arkansas, accepted a position as an event coordinator for a major marketing firm. Sally's first task is to organize a convention of retailers and manufactures of private label store brands. She wants to select a city that has low hotel cost. She has narrowed her choice to Atlanta and New Orleans. She collects sample data on 25 hotels in both cities for a 5 night stay. Since there is a vast amount of historical data for hotel prices in both cities, she finds the known variance to be $125 in Atlanta and $150 in New Orleans. Can she conclude that there is a difference in hotel cost between the two cities? If there is a difference, she will use that information and select the city with the lower cost. The level of significance is .10. If appropriate, you should assume unequal variances. z-Test: Two Sample for Means t-Test: Two-Sample Assuming Unequal Variances Atlonta New Orleons Atlonta New Orleons Mean 1629.90476 181154879 Мean 1629.90476 181154879 Known Variance 125 150 Variance 125 150 Observations 25 25 Observations 25 25 Hypothesized Mean Difference Hypothesized Mean Difference JP t Stat -1774 48 P(Z<=z) one tail z Critical one-tail P(Z<=z) two-tail z Critical two-tail 0.0357 -1.5516149 P(T<=t} one-tail t Critical one tail 1.28155157 0.0578 0.0714 129943888 P(T<=t} two-tail t Critical two-tail 164485363 0.1156 16772242 t-Test: Paired Two Sample for Means z-Test: Two Sample for Proportions Atlonta New Orleans Mean 1629.90476 181154879 Atlanta New Orlegns Variance 125 150 Sample Proportion 0.1629 0.1811 Observations 25 25 Observations 25 25 Hypothesized Difference Z Stat Pearson Correlation 1 Hypothesized Mean Difference -2.0249019 P(Z<=) one-tail z Critical one-tail df 24 0.02143872 t Stat P(T<=t} one-tail t Critical one-tail P(T<=t} two-tail t Critical two-tail -1.5516149 164485363 P(Z<=) two-tail z Critical two-tail 0.0578 0.04287744 1.29943888 1.95996398 0.1156 16772242 Based on the output that is most appropriate for solving this scenario, what is your conclusion about the hypothesis? Fail to Reject HO; there is no difference in hotel prices; she will select Atlanta Reject HO; there is no difference in hotel prices; she will select Atlanta Reject HO; there is a difference in hotel prices; she will select Atlanta Fail to Reject HO; there is a difference in hotel prices; she will select Atlanta
Expert Solution
Step 1

Given Data :

For Sample 1

x̄1 = 1629.90476

s1 = 11.1803

n1 = 25

For Sample 2

x̄2 = 1811.54879

s2 = 12.2474

n2 = 25

Significance level, α= 0.10

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