Problem 85
Page 560
Section: HOMEWORK
Chapter 10: HYPOTHESIS TESTING WITH TWO SAMPLE
Given information
Repeat the test in , but this time combine the data from Laps and
Step-by-step explanation
Now, consider the following observations:
The null hypothesis is defined as follows:
The alternative hypothesis is stated as follows:
The difference between mechanical and electrical engineers means entry-level salary is .
Student’s t (sample t-test, variances not pooled).
For the mean difference, the paired test static is,
After ENTER all of the values, look at the OUTPUT below.
Test statistic .
The p-value from the output is .
Drawing a representation of the situation using the information from the last exercise.
The horizontal axis should be clearly labeled and scaled, and the region(s) matching the should be shaded on the graph.
Decision: Null hypothesis is rejected.
Conclusion: At the significance level, there is sufficient information to establish that the time it takes to complete a lap in a race differs from the time it takes to complete a lap in practice.
Therefore,
there is enough evidence to conclude that the meantime for completing a lap in races is different from that in practices.