Textbook ExpertVerified Tutor
23 Nov 2021
Given information
Instructions: For the following ten exercises,
Hypothesis testing: For the following ten exercises, answer each question.
State the null and alternate hypotheses.
State the p-value.
. State alpha.
. What is your decision?
Write a conclusion.
Answer any other questions asked in the problem.
The student academic group on a college campus claims that freshman students study at least hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of freshman students and found a mean study time of minutes with a standard deviation of minutes.
Step-by-step explanation
Step 1.
We are given to use a left-tailed test. That’s why the alternative hypothesis has sign. Reject the null hypothesis if .
The null hypothesis states that on average, freshman students study at least hours or minutes.
In symbols:
The alternative hypothesis states that on average, freshman students study less than hours or minutes.
In symbols:
Step-by-step procedure to obtain the test statistic and value using the calculator:
- Press Stat > EDIT > Edit.
- Enter data in L1.
- Press Stat > TESTS > 2: T-Test…
- Enter data as shown below:
- Highlight Calculate and press enter.
Output using the calculator is given below
Since the null hypothesis is not rejected, we can conclude that on average, freshman students study at least hours or minutes.
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