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.
- 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.
- 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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