Given to dependent random samples with the following results: Population 1: 83,72,64,61,72,74,72,66 Population 2: 85,64,66,52,78,83,70,68 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d= ( population 1 entry)-( population 2 entry), use a significance level of a = 0.05 for the test. Assume that both population are normally distributed.  1. State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3. Commute the value of the test statistic. Round to three decimal places. 4. Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to three decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Given to dependent random samples with the following results:

Population 1: 83,72,64,61,72,74,72,66

Population 2: 85,64,66,52,78,83,70,68

Can it be concluded, from this data, that there is a significant difference between the two population means?

Let d= ( population 1 entry)-( population 2 entry), use a significance level of a = 0.05 for the test. Assume that both population are normally distributed. 

1. State the null and alternative hypothesis for the test.

2. Find the value of the standard deviation of the paired differences. Round to one decimal place.

3. Commute the value of the test statistic. Round to three decimal places.

4. Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to three decimal places.

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