This semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem.At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively.The table below highlights this information:| Year of School | First | Second | Third | Fourth | Total ||----------------|-------|--------|-------|--------|-------|| College Percents | 29% | 27% | 25% | 19% | || Sample Counts | 49 | 70 | 56 | 25 | 200 || Expected Counts | 58 | 54 | 50 | 38 | |Under the assumption that we think the college enrollment percentages should match our sample, and that therefore our sample represents the college:a) What would the critical value be? (use α = 0.05)b) Find the test statistic to test (c) above.c) Based on your answers above, does your sample appear to represent the college?

The table shows the college percent's, sample counts and expected counts for year of school (First,…

Answered: This semester, we have talked about…

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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Create a Study For this discussion, you will come up with an example of a situation in which two means would need to be compared, and describe which test would be the most appropriate. Develop a main response in which you address the following: Describe a possible study that could be conducted to compare two groups means. What would the main topic be? What groups would be compared? What data would be collected? Identify the test that would be the best choice to compare the group means. Explain why this test is the most appropriate for your example.
Ch 13
A small university was looking to recruit students for their golf program during Freshman orientation. Each organization would be allotted 10 minutes to give a small presentation about their program. The golf coach wants to discuss the programs golf over the past five years during his presentation. To do this, he plans to take samples of the scores from both practice rounds and games. He has recruited students from Statistics class to help him determine which statistic would be best to use to display the scores. The students have narrowed it down to four different statistics. For each statistic, the coach has taken 100 random samples of golf scores over the past five years and the statistic is calculated for each sample. Suppose the value for the population parameter he is trying to estimate is a score of 75. ALL GRAPHS ARE IN THE ATTACHED PICTURE!! THANK YOU!! a) For each graph above, identify whether the statistic appears to have a biased or unbiased estimator of the population…
The Student Union President conducted a survey to estimate the proportion of first year students who participated in the social activities organized by the Student Union. Which of the following surveying options does NOT affect the presidents ability to generalize the survey to all first year students. The president put the survey on the Student Union webpage a Monday and collected the responses at the end of the week. All of the other options present a problem for generalizing the results. The president polled all students coming out of the Student Union on a given Monday. The freshmen class consists of 3000 students. A random sample of only 300 were sent a survey. Only 150 responded. The survey was sent only to first year students enrolled in statistics courses because all students need to satisfy a statistics general education requirement.
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Imagine that you own a coffee shop in downtown Toronto. You think it's time to expand to a second location in a different part of the Greater Toronto Area. However, you need to make sure that the second location you have selected will be as popular with customers as your current location. You want to do a survey. You know you can't ask everyone, so you need to ask a sample. PART 1: What process should you follow to select your sample? choices are simple, systematic, stratified, and cluster sampling. PART 2: What is the best way to administer your survey to make sure you get enough responses to give you a good representative sample?
Inspired by the example about how background music influences choice of entrée at a restaurant, a statistics student decided to investigate other ways to influence a person's behavior. Using 60 volunteers, she randomly assigned 20 volunteers to get a "red" survey, 20 volunteers to get a "blue" survey, and 20 volunteers to get a control survey. The first three questions on each survey were the same, but the fourth and fifth questions were different. For example, the fourth question on the "red" survey was "When you think of the color red, what do you think about?" On the blue survey, the question replaced red with blue. On the control survey, the last two questions were not about color. As a reward, each volunteer was allowed to choose a chocolate candy in a red wrapper or a chocolate candy in a blue wrapper. The table shows the result of the experiment. We want to test Ho: The distribution of candy choice is the same for subjects like these who receive the red survey, the blue survey,…
You gather data from two local churches about the average offering (a monetary donation to the church)that is collected at a weekly service. You want to see whether the average offering given at one churchis the same as the average offering at another church. The number of people who attend Church 1 is201, and the average amount offered is $12.50. The number of people who attend Church 2 is 350, andthe average amount offered is $11.87. The sample standard deviations for Church 1 and Church 2 are$3.15 and $4.57, respectively. (a) What is the hypothesis you want to test? (b) Calculate the test statistic and test your hypothesis at the 95 and 99 percent confidence levels. (c) Pretend that the sample means and standard deviations remain the same, but that the numberof people sampled at Church 2 was 201 instead of 350. Does your test-statistic change? Does the critical value change?
A businesswoman is considering whether to open a coffee shop in a local shopping center. Before making this decision, she wants to know how much money people spend per week at coffee shops in that area. She took a random sample of 26 customers from the area who visit coffee shops and asked them to record the amount of money (in dollars) they would spend during the next week at coffee shops. At the end of the week, she obtained the following data (in dollars) from these 26 customers: 16.63 38.63 15.14 14.47 5.01 63.64 10.19 13.28 32.25 36.00 16.19 65.91 10.28 37.14 3.22 6.92 34.65 6.40 36.35 27.59 38.67 13.18 9.80 9.48 1.21 5.19 Assume that the distribution of weekly expenditures at coffee shops by all customers who visit coffee shops in this area is approximately normal. Round your answers to cents.a. What is the point estimate of the corresponding population mean?x¯=$b. Make a 99% confidence interval for the average amount of money spent per week at coffee shops by all…
I need to find the population of the study. I know the population of the study is the group as a whole being researched. My topic is: The average annual income of states and the average cost of a four-year college degree. What would the population of the study be? All of the states? I am just confused.
Answer Task A only
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