Consider the following matched-pairs sample that represents observations before and after an experiment. Assume that the sample differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table) Before 2.5 1.8 1.4 − 2.9 1.2 − 1.9 − 3.1 2.5 After 2.9 3.1 3.9 − 1.8 0.2 0.6 2.5 2.9 Click here for the Excel Data File
Consider the following matched-pairs sample that represents observations before and after an experiment. Assume that the sample differences are
| Before | 2.5 | 1.8 | 1.4 | − | 2.9 | 1.2 | − | 1.9 | − | 3.1 | 2.5 | |||||||||||||
| After | 2.9 | 3.1 | 3.9 | − | 1.8 | 0.2 | 0.6 | 2.5 | 2.9 | |||||||||||||||
Click here for the Excel Data File
Hint: The differences are calculated as Xbefore - Xafter.
a. Construct the competing hypotheses to determine if the experiment increases the value of the observations.
multiple choice 1
-
H0: μD = 0; HA: μD ≠ 0
-
H0: μD ≥ 0; HA: μD < 0
-
H0: μD ≤ 0; HA: μD > 0
b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
c. Find the p-value?
multiple choice 2
-
p-value < 0.01
-
0.01 ≤ p-value < 0.025
-
0.025 ≤ p-value < 0.05
-
0.05 ≤ p-value < 0.10
-
p-value ≥ 0.10
d. What is the conclusion to the hypothesis test?
e. Do the results change if we implement the test at a 1% significance level?
multiple choice 3
-
Yes
-
No
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
