STAT200 Penn State University Inference for One Sample Lab 8 Questions Answer the questions in this document in a different color and not bolded. Always s

STAT200 Penn State University Inference for One Sample Lab 8 Questions Answer the questions in this document in a different color and not bolded.
Always show your work; full credit will not be given to answers without work shown. If you do hand calculations, show your work using the Word Equation editor.
Always clearly identify your final answers and round all answers to 3 decimal places.Required mini tab express to complete this stat lab STAT 200 LAB 8 -Lesson 8: Inference for One Sample
Due Tuesday, Oct. 29, 2019
NAME:
Directions
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Answer the questions in this document in a different color and not bolded.
Always show your work; full credit will not be given to answers without work shown. If you do
hand calculations, show your work using the Word Equation editor.
Always clearly identify your final answers and round all answers to 3 decimal places.
For an example of formatting, see the sample lab in the Lesson 1 Module in Canvas.
If you have any questions, post them to the course discussion board.
Use complete sentences and always provide explanations along with any screenshots or
software outputs.
1. A curriculum coordinator wants to know if students tend to score differently on the first and second
exams in an introductory stats course. Data were collected from a representative sample of 45
students enrolled in the course. Data were paired by student. The mean difference, computed as
Exam 1 – Exam 2, was 1.5076 points with a standard deviation of 5.8854 points.
A. Use Minitab Express to conduct a paired means t-test to determine if there is evidence that
scores on the two exams are different in the population of all students in the introductory
stats course. Use the five-step hypothesis testing procedure given below. Remember to
include all relevant Minitab Express output and to clearly identify your test statistic and p
value. Do not do any hand calculations. [25 points]
Step 1: Check assumptions and write hypotheses
Step 2: Calculate the test statistic
Step 3: Determine the p value
Step 4: Decide to reject or fail to reject the null
Step 5: State a “real world” conclusion
B. Use Minitab Express to construct a 95% confidence interval for the mean difference in exam
scores. [15 points]
C. What minimum sample size would be necessary to construct a 95% confidence interval for
the mean difference in exam scores with a margin of error of 0.5 points? You will need to do
hand calculations. Show all of your work. [10 points]
STAT 200 LAB 8 -Lesson 8: Inference for One Sample
Due Tuesday, Oct. 29, 2019
2. Along with exam scores, the instructor also collected data concerning employment status of the
sample of 45 World Campus students. In that sample of 45 students, 32 students reported they were
employed full-time.
A. Use Minitab Express to construct a 95% confidence interval to estimate the proportion of
all World Campus students who are employed full-time. If assumptions were met, use the
normal approximation method. Remember to include all relevant Minitab Express output and
to clearly identify your answer. [15 points]
B. What sample size would be necessary to construct a 95% confidence interval to estimate
the proportion of all World Campus students who are employed full-time with a margin of
error of 3%? You will need to do hand calculations. Show all of your work. [10 points]
C. We want to know if there is evidence that in the population of all World Campus students,
more than 50% are employed full-time. Use the five-step hypothesis testing procedure to
address this research question. The only hand calculations that you will need to do will be in
step 1 to check assumptions; use Minitab Express for steps 2 and 3. Remember to include all
relevant Minitab Express output and to clearly identify your test statistic and p value. [25
points]
Step 1: Check assumptions and write hypotheses
Step 2: Calculate the test statistic
Step 3: Determine the p value
Step 4: Decide to reject or fail to reject the null
Step 5: State a “real world” conclusion

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