Module 22

Progress Check

Use this activity to assess whether you and your peers can:

• Use StatCrunch to conduct a hypothesis test to test a claim about a population mean.
• State an appropriate conclusion in context.
• Explain the meaning of each relevant item from the StatCrunch output.

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Directions

Use the drop-down menu to learn about the three steps needed to complete this assignment.

Three steps to complete the assignment

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Context

A group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this studyLinks to an external site. was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

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Variables

The number of alcoholic beverages a student consumes in a week.

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Data

Open the drinks datafile in the Stats at Cuyamaca College group on StatCrunch (directions – opens in a new tab).

Note – the drinks datafile is different from the college_drinking file.

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Prompt

The drinks datafile is available in the Data section above.

1. Let $?$ be the mean number of alcoholic beverages that students in the liberal arts college drink in a typical week. State the hypotheses.
2. Here is a histogram of the data. Can we safely use the t-test with this data? Explain.
   
3. Perform the t-test using StatCrunch. (directions)
   Copy and paste the information from the StatCrunch output window into the textbox.
4. Based on the P-value, state your conclusions in context. Use a 5% level of significance.
   NOTE: You do not need to double the P-value for this two-tailed test. StatCrunch calculates the P-value for you.
5. Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.
   1. Std. Err (standard error)
   2. T-stat (T-score)
   3. P-value

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List of StatCrunch Directions

Click here for StatCrunch Directions

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Module 22 Discussion Board

Use the Module 22 discussion board (opens in a new tab) to ask questions or provide feedback about the problems in any Module 22 activity – including this peer-reviewed assignment.

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Review Feedback

• Instructor feedback is only available after an assignment is graded.
• Use these directions (opens in a new tab) to learn how to review feedback.

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Click the “Next” or > button to continue.

Content by Cuyamaca College math faculty and licensed under the Creative Commons 4.0 International LicenseLinks to an external site..

Rubric

Formative Assessments w/ StatCrunch

Formative Assessments w/ StatCrunch

Criteria	Ratings	Pts
This criterion is linked to a Learning OutcomeAnswering the Prompt	8 pts Full Credit The first submission demonstrates a good-faith effort to address each part of the Prompt. Either in the first draft or the optional final draft, all parts of the “Prompt” are addressed and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow. 6.5 pts Mostly Correct The first submission demonstrates a good-faith effort to address most of the Prompt. In the optional final draft all parts of the “Prompt” are addressed, and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are mostly correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow. 3.5 pts One or more incorrect The first submission demonstrates a good-faith effort to respond to a smaller portion of the Prompt. In the first draft or the optional final draft, one or more parts of the “Prompt” are not addressed or are incorrect. Or, answers do not demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. Or, answers are correct, but the writing/work is unclear, incorrect, or difficult to follow. 0 pts No Marks The first submission does not demonstrate a good-faith effort to address the Prompt.	8 pts
This criterion is linked to a Learning OutcomeStatCrunch	2 pts Full Credit StatCrunch graphs and/or tables are correct and embedded with your work. 1 pts Partial Credit StatCrunch graphs and/or tables are incorrect or missing important information. 0 pts No Credit No StatCrunch information is embedded with your post. Or all StatCrunch work is incorrect.	2 pts
Total Points: 10

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