The following questions refer to the output below the following R command. t.test(group2, group3, paired=TRUE) data: group2 and group3 t = -2.4426, df = 39, p-value = 0.01921 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -8.4983545 -0.7992152 sample estimates: mean of the differences -4.648785 What is the null and alternate hypotheses  Which of the following assumptions need to be satisfied for this test? Observations are independent The standard deviations of both populations are normally distributed The distributions of both populations are normal The distribution of the population of differences is normal The distribution of the population of measurements is normal   What is the value of the test statistic (3dp)  What is the p-value  (4dp) Based on this evidence, what is the conclusion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Topic Video
Question

The following questions refer to the output below the following R command.

t.test(group2, group3, paired=TRUE)

data: group2 and group3

t = -2.4426, df = 39, p-value = 0.01921
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-8.4983545 -0.7992152
sample estimates:
mean of the differences
-4.648785

  1. What is the null and alternate hypotheses 
  2. Which of the following assumptions need to be satisfied for this test?
    1. Observations are independent
    2. The standard deviations of both populations are normally distributed
    3. The distributions of both populations are normal
    4. The distribution of the population of differences is normal
    5. The distribution of the population of measurements is normal

       
  3. What is the value of the test statistic (3dp) 

  4. What is the p-value  (4dp)
    Based on this evidence, what is the conclusion
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