Download MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS ACTUAL EXAM and more Exams Nursing in PDF only on Docsity! MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM That is correct! Answer: ( 0.10, 0.18) That is correct! MATH 225N MATHWeek 6 Math 225n Statistics Week 6 Question 1 A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100 points was a x¯=77, with a margin of error of 10. Construct a confidence interval for the mean score (out of 100 points) on the final exam. Answer: (67, 87) Question 2 A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book. Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e- books. MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM Question 3 The pages per book in a library are normally distributed with an unknown population mean. A random sample of books is taken and results in a 95% confidence interval of (237,293) pages. MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM That is correct! Answer: (509.30, 519.18) MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM That is correct! That is correct! Question 7 A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each one recorded. The results are given below. Assume the percentages of students' absences are approximately normally distributed. Use Excel to estimate the mean percentage of absences per tutorial over the past 5 years with 90% confidence. Round your answers to two decimal places and use increasing order. Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 HelpCopy to ClipboardDownload CSV Answer: (9.22, 11.61) Question 8 Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a period when typing. 440 people responded that they leave one space. Create a 90% confidence interval for the proportion of people who leave one space after a period. • Round your results to four decimal places. Answer: (0.8117, 0.8645) MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM Question 9 A sample of 27 employees for the Department of Health and Human Services has the following salaries, in MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM Answer: 95% MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM That is correct! Answer: 0.9804 That is correct! Question 12 The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation. A B C Question 13 The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet the specification, the resistance must be within the range 100±0.7 ohms. What proportion of gauges is acceptable? • Round your answer to four decimal places. Question 14 A baker knows that the daily demand for strawberry pies is a random variable that follows the normal MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM distribution with a mean of 31.8 pies and a standard deviation of 4.5 pies. Find the demand that has an 8% probability of being exceeded. MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM pox vaccine. The school nurse wants to make sure that the school meets all state requirements for vaccinations at public schools. • Find the population proportion, as well as the mean and standard deviation of the sampling MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM distribution for samples of size n=120. MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM • • That is correct! • That is correct! • Round all answers to 3 decimal places. • p = 0.945 • μp = 0.945 • σp = 0.021 Question 17 The lengths of text messages are normally distributed with an unknown population mean. A random sample of text messages is taken and results in a 95% confidence interval of (23,47) characters. What is the correct interpretation of the 95% confidence interval? We estimate that 95% of text messages have lengths between 23 and 47 characters. We estimate with 95% confidence that the true population mean is between 23 and 47 characters. We estimate with 95% confidence that the sample mean is between 23 and 47 characters. Question 18 Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers. MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM Answer: 0.26 That is correct! A tour guide company is trying to decide if it is going to increase the cost of its tours to cover its sunk costs. They find that the average sunk cost per tour is $58, with a standard deviation of $18. If they take a random sample of 36 tours, identify each of the following to help them make their decision and round to the nearest hundredth if necessary: Answer: μ=58 σ=18 n= 36 μx=58 σx=3 Question 20 From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a random sample of size 110, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places? Question 21 In order to estimate the average electricity usage per month, a sample of 125 residential customers were selected, and the monthly electricity usage was determined using the customers' meter readings. Assume a population variance of 12,100kWh2. Use Excel to find the 98% confidence interval for the mean electricity usage in kilowatt hours. Round your answers to two decimal places and use ascending order. Electric Usage 765 1139 714 687 MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM 1027 1109 749 799 MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM 911 HelpCopy to ClipboardDownload CSV MATH 225N STATISTICS WEEK 6 FINAL EXAM 25 QUESTIONS WITH 100% CORRECT ANSWERS/ ACTUAL EXAM Correctly fill in the blanks in the statement above. M ATH 225N MATHWeek 6 Math 225n Statistics Quiz Answer: 15.87% That is correct! Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 0.75. This z-score tells you that x=56 is 0.75 standard deviations to the right of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −0.75. This z-score tells you that x=56 is 0.75 standard deviations to the left of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 0.545. This z-score tells you that x=56 is 0.545 standard deviations to the right of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −0.545. This z-score tells you that x=56 is 0.545 standard deviations to the left of the mean, 62. Question 24 Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 168 pages if the mean is 190 pages and the standard deviation is 22 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. Question 25 Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 140 pages if the mean is 190 pages and the standard deviation is 25 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. That is correct! Correct answers: 2.5%