A community college wants to find out how students enrolled in remote courses feel about remote learning, so a random sample of students is needed to form a focus group. You are a data scientist in charge of identifying a sample of students for the focus group. Why is it important to select a random sample in this case? Would it be ok for the college to ask for volunteers for the focus group? Why or why not? Are there pros and cons for each sampling approach? Which is best and why? Could Stratified Random Sampling have also been used? What benefits might this approach have in selecting the sample of students for the focus group? Explain or give an example of how this could be done. 87478 66671 72747 71811 43016 99108 42100 98461 76806 72850 58839 64138 72299 46929 57574 45105 44634 41011 79971 31504 45482 67893 60831 28648 61819 42193 33913 37385 55110 70208 36564 36642 35172 41710 24652 59067 65565 49649 50492 58161 16692 87944 72062 96211 74445 58522 53210 68039 26839 22662 67994

A community college wants to find out how students enrolled in remote courses feel about remote learning, so a random sample of students is needed to form a focus group. You are a data scientist in charge of identifying a sample of students for the focus group. Why is it important to select a random sample in this case? Would it be ok for the college to ask for volunteers for the focus group? Why or why not? Are there pros and cons for each sampling approach? Which is best and why? Could Stratified Random Sampling have also been used? What benefits might this approach have in selecting the sample of students for the focus group? Explain or give an example of how this could be done. 87478 66671 72747 71811 43016 99108 42100 98461 76806 72850 58839 64138 72299 46929 57574 45105 44634 41011 79971 31504 45482 67893 60831 28648 61819 42193 33913 37385 55110 70208 36564 36642 35172 41710 24652 59067 65565 49649 50492 58161 16692 87944 72062 96211 74445 58522 53210 68039 26839 22662 67994

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A 2016 episode of the NPR program "This American Life" featured a radio show host from Tigerville South Carolina and focused on the divisions among evangelical Christians regarding their support of the then-presidential candidate Donald Trump. We know that these divisions still exist, and suppose you want to survey the people of Tigerville (population: 1.312) to see how many of them support Donald Trump today, and you want to use a simple random sample. (a) An SRS of 150 people is taken and it turns out that 55 support Trump. Estimate the proportion of people in Tigerville that support Trump and give a 95% confidence interval for the true proportion of Trump supporters using your estimate. (b) If 100 simple random samples are taken independently, and 100 such 95% confidence intervals are constructed, what is the probability that all 100 of these intervals will cover the true proportion? Does this number make sense to you? Explain.
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study. the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department's officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand. Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? Testing Officer A's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision rule Step 3: Compute the test value Step 4: Make decision Step 5: Conclusion Testing Officer B's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision…
Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation. Do we reject, or fail to reject, the null hypothesis?
(6) A student surveys some students on campus in the evening and finds that 16 out of 20 of the students she interviewed are part time students. She uses the data to estimate the percentage of all students who are part time. What type of bias is present in her sample?
Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off- season, Shag had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. Check the conditions of the Central Limit Theorem for this scenario. Calculate the number of expected successes.
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