STAT200 Penn State Testing Hypothesis Consumption of Caffeine Lab 5 Answer the questions in this document in a different color and not bolded. Always show

STAT200 Penn State Testing Hypothesis Consumption of Caffeine Lab 5 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.I’ve attached the actual assignment. Please review before accepting. STAT 200 LAB 5 -Lesson 5: Hypothesis Testing, Part 1
Due Tuesday, Oct. 1, 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. For this question you’ll be conducting a randomization test for the difference in two means using
the “Sleep Caffeine Words” dataset that is built into StatKey. Researchers wanted to know if caffeine
could be used to replace the need for sleep. The study compared students’ ability to recall memorized
information after either the consumption of caffeine or a brief sleep. A random sample of 35 adults
(between the ages of 18 and 39) were randomly divided into three groups and verbally given a list of
24 words to memorize. During a break, one of the groups takes a nap for an hour and a half, another
group is kept awake and then given a caffeine pill an hour prior to testing, and the third group is given
a placebo. The number of words they were able to memorize is in the dataset in StatKey. We are
interested in testing whether there is a difference in average recall ability between the two groups.
[30 points]
Step 1: Determine what type of test you need to conduct and write the hypotheses.
Step 2: Construct a randomization distribution under the assumption that the null hypothesis
is true. Take at least 5000 resamples.
Step 3: Use the randomization distribution to find the p-value.
Step 4: Decide if you should reject or fail to reject the null hypothesis.
Step 5: State a real-world conclusion in relation to the original research question.
2. In this question set you will be using StatKey to conduct randomization tests for a single
proportion. A STAT 200 instructor wants to know if less than half of online students regularly use the
Canvas app ( > 5 times a week).[70 points total]
A. Using the five steps from the online notes, conduct a randomization test given that 6
students in a random sample of 15 use the Canvas app on a regular basis (> 5 times a week).
Be sure to include your relevant StatKey output. [30 points]
Step 1: Determine what type of test you need to conduct and write the hypotheses.
STAT 200 LAB 5 -Lesson 5: Hypothesis Testing, Part 1
Due Tuesday, Oct. 1, 2019
Step 2: Construct a randomization distribution under the assumption that the null hypothesis is
true. Take at least 5000 resamples.
Step 3: Use the randomization distribution to find the p-value.
Step 4: Decide if you should reject or fail to reject the null hypothesis.
Step 5: State a real-world conclusion in relation to the original research question.
B. Using the five steps from the online notes, conduct a randomization test given that 48
students in a random sample of 120 use the Canvas app regularly. Be sure to include your
relevant StatKey output. [30 points]
Step 1: Determine what type of test you need to conduct and write the hypotheses.
Step 2: Construct a randomization distribution under the assumption that the null hypothesis is
true. Take at least 5000 resamples.
Step 3: Use the randomization distribution to find the p-value.
Step 4: Decide if you should reject or fail to reject the null hypothesis.
Step 5: State a real-world conclusion in relation to the original research question.
C. In parts A and B the hypotheses and sample proportions were the same. Explain why the pvalue decreased when the sample size increased. [10 points]

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