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Chapter 5 Homework

Please answer the following questions and show your work. You can submit this assignment through word, excel or complete it by hand and upload it to canvas as an image or PDF. If you do this by hand, please make sure your work and answers are clear.

1. Suppose that last week, Luis ate breakfast 6 out of 7 days. 3 of those days, he ate an Eggo waffle. Given that Luis ate breakfast, what was the probability that he ate an Eggo waffle? (2 points)

2. Kevin and his friends are interested in finding out who is the fastest in their class. The average mile is ran in 510 seconds, with a standard deviation of 45 seconds. Below are the times for Kevin and his friends. (6 points)Kevin= 410 seconds

Brian = 515 seconds

Jon = 611 seconds

A. Find the Z scores for each of the times given above

B. Using the Z table, tell me who finished among the fastest 30% of the class? Explain why

3. Z score = to -3.10. Find the proportion on the Z table. (2 points)

Chapter 6 Homework

Please answer the following questions and show your work. You can submit this assignment through word, excel or complete it by hand and upload it to canvas as an image or PDF. If you do this by hand, please make sure your work and answers are clear.

1. In your own words, explain what a sampling distribution is. Give at least one example. (3 points)

2. Give me an example of a population parameter and a sample statistic (2 points)

3. A researcher is worried about “burnout” and is studying the length of time people work in a particular social worker position before changing careers. She finds that, in the whole population, people work an average of 6.2 years at this position, with a standard deviation of 3 years. Suppose she takes samples of 4 people per sample.(5 points)

A. Find the standard Error

B. 68% of samples will have a mean between ______ and ________. Show or explain how you came to this conclusion

4. Jessica, a high school teacher, is concerned that her teenage son is not getting as many hours of sleep when compared to her high school students. She passes out a sleep survey to all her classes. She finds that her students, on average, sleep for 9 hours, with a standard deviation of 3 hours. Her son sleeps for 7 hours. Suppose she takes samples of 20 students. (5 points)

A. Find the Standard Error

B. Using the Z formula, where does Jessicas son fall in terms of sleep when compared to the other high school students (HINT: Use the Z table)