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##### STATS Problems with Solution with 100 % correct answers

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Question;Refer to the following frequency distribution for Questions;1, 2, 3, and 4. Show all work. Just the answer, without supporting work, will;receive no credit.The frequency distribution below shows the distribution for;checkout time (in minutes) inUMUC MiniMart between 3:00 and 4:00 PM on a Friday;afternoon.Checkout Time (in minutes) Frequency 1.0 -?? 1.9 5 2.0 -?? 2.9 6 3.0 -?? 3.9 4 4.0 -?? 4.9 3 5.0 -?? 5.9 2 1. What percentage of the checkout times was less than 3;minutes? (5 pts)2. Calculate the mean of this frequency distribution. (5;pts)3. Calculate the standard deviation of this frequency;distribution. (10 pts)4. Assume;that the smallest observation in this dataset is 1.2 minutes. Suppose this;observation were incorrectly recorded as 0.12 instead of 1.2. Will the mean;increase, decrease, or remain the same? Will the median increase, decrease or;remain the same? Explain your answers. (5 pts)Refer to the following information for Questions 5 and 6.;Show all work. Just the answer, without supporting work, will receive no;credit.A 6-faced die is rolled two times. Let A be the event that;the outcome of the first roll is greater than4. Let B be the event that the outcome of second roll is an;odd number.5. What is the probability that the outcome of the second;roll is an odd number, given that the first roll is greater than 4? (10 pts)6. Are A and B independent? Why or why not? (5 pts) Refer to the following data to answer questions 7 and 8.;Show all work. Just the answer, without supporting work, will receive no;credit.A random sample of STAT200 weekly study times in hours is as;follows:4 14 15 17 207. Find the standard deviation. (10 pts)8. Are any of these study times considered unusual in the;sense of our textbook? Explain.Does this differ with your intuition? Explain. (5 pts)Refer to the following table for Questions 9, 10, and 11.;Show all work. Just the answer, without supporting work, will receive no;credit.The table shows temperatures on the first 12 days of October;in a small town in Maryland.Date Temperature Date Temperature Date TemperatureOct 1 73 Oct 5 53 Oct 9 66Oct 2 66 Oct 6 52 Oct 10 49Oct 3 65 Oct 7 62 Oct 11 53Oct 4 70 Oct 8 55 Oct 12 579. Determine;the five-number summary for this data. (10;pts)10. Determine;the mean temperature. (3 pts)11. Determine;the mode(s), if any. (2 pts)Refer to the following information for Questions 12 and 13.;Show all work. Just the answer, without supporting work, will receive no;credit.There are 1000 students in the senior class at a certain;high school. The high school offers two Advanced Placement math / stat classes;to seniors only: AP Calculus and AP Statistics. The roster of the Calculus;class shows 100 people, the roster of the Statistics class shows 80 people.;There are 45 overachieving seniors on both rosters.12. What is the probability that a randomly selected senior;is in at least one of the two classes? (10 pts)13. What is the probability that a randomly selected senior;takes only one class? (10 pts)Refer to the following information for Questions 14, and 15.;Show all work. Just the answer, without supporting work, will receive no;credit.A box contains 10 chips. The chips are numbered 1 through;10. Otherwise, the chips are identical. From this box, we draw one chip at;random, and record its value. We then put the chip back in the box. We repeat;this process two more times, making three draws in all from this box.14. How many;elements are in the sample space of this experiment? (5 pts)15. What is;the probability that the three numbers drawn are all multiples of 3? (10 pts)Questions 16 and 17 involve the random variable x with;probability distribution given below.Show all work. Just the answer, without supporting work;will receive no credit.x 2 3 4 5 6P(x) 0.1 0.2 0.3 0.1 0.316. Determine;the expected value of x. (10 pts)17. Determine;the standard deviation of x. (10 pts)Consider the following situation for Questions 18, 19 and;20. Show all work. Just the answer, without supporting work, will receive no;credit.Mimi just started her tennis class three weeks ago. On;average, she is able to return 15% of her opponent?s serveMimi just started her tennis class three weeks ago. On;average, she is able to return 15% of her opponent?s serves. Let random number;X be the number of serves Mimi returns. As we know, the distribution of X is a;binomial probability distribution. If her opponent serves 10 times, please;answer the following questions: 18. What is the number of trials (n), probability of;successes (p) and probability of failures (q), respectively?19. Find the probability that she returns at least 2 of the;10 serves from her opponent.20. Find the mean and standard deviation for the probability;distribution. Refer to the following information for Questions 21, 22, and;23. Show all work. The heights of pecan trees are normally distributed with a;mean of 10 feet and a standard deviation of 2 feet. 21. What is the probability that a randomly selected pecan;is between 10 and 12 feet tall?22. Find the 90th percentile of the pecan tree height;distribution.23. If a random sample of 25 pecan trees is selected, what;is the standard deviation of the sample mean? 24. A random sample of 225 SAT scores has a mean of 1500.;Assume that SAT scores have a population standard deviation of 300. Construct a;95% confidence interval estimate of the mean SAT scores. Show all work.27. A certain researcher thinks that the proportion of women;who say that the earth is getting warmer is greater than the proportion of men.;The research conducted a survey, and found the following result: In a random sample of 250 women, 70% said that the earth is;getting warmer.In a random sample of 200 men, 67% said that the earth is;getting warmer. Assume we want to use a 0.05 significance level to test the;claim.(a) Identify the null hypothesis and the alternative;hypothesis.(b) Determine the test statistic. Show all work(c) Determine the critical value. Show all work(d) Is there sufficient evidence to support the claim that;the proportion of women saying the earth is getting warmer is higher than the;proportion of men saying the earth is getting warmer? Justify your conclusion.;(25 pts) Refer to the following data for Questions 28 and 29.:x 0 -1 1 2 3y 3 -2 5 6 8 28. Find an equation of the least squares regression line.;Show all work29. Based on the equation from # XXXXX what is the predicted;value of y if x = 4?;="msonormal">

Paper#62221 | Written in 18-Jul-2015

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