ou find that the 99 random customers that were offered Plum Two Day Delivery spent $2,500 per year on Wal-Mart with a sample standard deviation of $500 in sales.  Test whether the sales of Wal-Mart Plum are statistically different from zero at an alpha of 5% (95% confidence level). Set up your null and alternative hypotheses. Test at the 95% level of significance. Show your test and critical statistics. Are the sales for Two Hour Plum Delivery statistically different from 0? Interpret your answer. Suppose the typical Wal-Mart consumer spends $2000 a year. Test whether the introduction of Wal-Mart Plum Delivery increased sales. Set up your null and alternative hypotheses. Test at an alpha of 5% (95% confidence level). Show your test and critical statistics. Did Plum significantly increase sales? Interpret your answer.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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  1. Hypothesis Test

Wal-Mart wants to introduce a new subscription service (called Plum) that would result in customers getting free two day delivery. Wal-Mart introduces Wal-Mart Plum to a random sample of 99 customers. You are hired by Wal-Mart to analyze if the introduction of Plum and two day deliver increases sales for Wal-Mart. You find that the 99 random customers that were offered Plum Two Day Delivery spent $2,500 per year on Wal-Mart with a sample standard deviation of $500 in sales. 

  • Test whether the sales of Wal-Mart Plum are statistically different from zero at an alpha of 5% (95% confidence level). Set up your null and alternative hypotheses. Test at the 95% level of significance. Show your test and critical statistics. Are the sales for Two Hour Plum Delivery statistically different from 0? Interpret your answer.

Suppose the typical Wal-Mart consumer spends $2000 a year. Test whether the introduction of Wal-Mart Plum Delivery increased sales. Set up your null and alternative hypotheses. Test at an alpha of 5% (95% confidence level). Show your test and critical statistics. Did Plum significantly increase sales? Interpret your answer.

  1. Proportions

On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 95% confidence level that the proportion of first-class survivors is the same as .50. What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?

 

Class

Passengers

Survived

Crew

885

212

First

325

202

Second

285

118

Third

706

178

Total

2201

710

 

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