The null and alternate hypotheses are:   H0 : μ1 = μ2 H1 : μ1 ≠ μ2   A random sample of 11 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.5.   At the 0.01 significance level, is there a difference between the population means?   State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)           Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)           Compute the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)           State your decision about the null hypothesis.   multiple choice 1 Do not reject H0. Reject H0.     The  p-value is   multiple choice 2 between 0.1 and 0.05 less than 0.001 between 0.02 and 0.05 between 0.001 and 0.01 between 0.1 and 0.2

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 2E
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The null and alternate hypotheses are:

 

H0 : μ1 = μ2
H1 : μ1 ≠ μ2

 

A random sample of 11 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.5.

 

At the 0.01 significance level, is there a difference between the population means?

 

  1. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

 

 

 

 

  1. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

 

 

 

 

 

  1. Compute the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

 

 

 

 

 

  1. State your decision about the null hypothesis.

 

multiple choice 1

  • Do not reject H0.
  • Reject H0.

 

 

  1. The  p-value is

 

multiple choice 2

  • between 0.1 and 0.05
  • less than 0.001
  • between 0.02 and 0.05
  • between 0.001 and 0.01
  • between 0.1 and 0.2

 

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