L07 Quiz_ Homework_ Social Science Statistics

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Brigham Young University, Idaho *

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221 C

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Business

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Apr 3, 2024

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pdf

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L07 Quiz: Homework Due Feb 3 at 10:59pm Points 10 Questions 10 Available Jan 24 at 11pm - Feb 3 at 10:59pm Time Limit None Allowed Attempts 2 Instructions This quiz was locked Feb 3 at 10:59pm. Attempt History Attempt Time Score KEPT Attempt 2 5 minutes 10 out of 10 LATEST Attempt 2 5 minutes 10 out of 10 Attempt 1 31 minutes 8 out of 10 Score for this attempt: 10 out of 10 Submitted Feb 1 at 9:29pm This attempt took 5 minutes. Preparation Download the L07 Homework Assignment (https://byuistats.github.io/BYUI_M221_Book/hp/L07/07_HW_Assignment_A.html) and answer the questions. Attempt each problem on your own. You are encouraged to collaborate with other students after your first attempt. Download the L07 Homework Answer Key (https://byuistats.github.io/BYUI_M221_Book/hp/L07/07_HW_Answer_Key_A.html) and check your answers. Take the Quiz You may use your notes, but you should complete the quiz without help from others. This quiz is a tool to help you and your instructor gauge your progress. On this quiz, you may use your notes, but you should complete the quiz without help from others. This quiz is a tool to help you and your instructor gauge your progress.
Question 1 1 / 1 pts Correct! 0.778 0.778 (with margin: 0.001) Question 2 1 / 1 pts Correct! 0.218 0.218 (with margin: 0.001) Question 3 1 / 1 pts Correct! 0.041 0.041 (with margin: 0.001) If needed, here's a link to the Normal Probability Applet (https://byuimath.com/apps/normprob.html) . Special Note: For this lesson and all subsequent lessons, unless otherwise specified, round your answers to 3 decimal places. Use the following information to answer the next 4 questions. The Law School Admission Test (LSAT) is required for admission to many law schools. The scores on the LSAT are approximately normal with mean of 150 and standard deviation of 9. Queen's School of Business in Kingston, Ontario requires a minimum LSAT score of 157 for admission. What is the z-score corresponding to an LSAT score of 157? Round your answer to three decimal places. (Example: 0.398) What is the probability that a randomly selected person who took the LSAT would score above 157? Round your answer to three decimal places. (Example: 0.398) What is the probability that the mean score for 5 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398)
Question 4 1 / 1 pts Correct! 0.0069 0.007 (with margin: 0.001) Question 5 1 / 1 pts Mean = 3.7, standard deviation = 0.9 Mean = 0.463, standard deviation = 0.9 Correct! Mean = 3.7, standard deviation = 0.113 Mean = 0.463, standard deviation = 0.113 Question 6 1 / 1 pts Correct! 0.0377 0.038 (with margin: 0.001) What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398) Use the following information to answer the next 2 questions. Suppose the mean GPA of BYU-Idaho students is 3.7 and the standard deviation is 0.9. It is well known that this distribution is left-skewed. If you take a random sample of 64 BYU-Idaho students, what is the mean and standard deviation of the distribution of sample means of these GPA scores? What is the probability that the mean GPA for 64 randomly selected BYU-Idaho students will be less than 3.5? Round your answer to three decimal places. Use the following information to answer the next 4 questions. Tanker trucks are designed to carry huge quantities of gasoline from refineries to filling stations. A factory that manufactures the tank of the trucks claims to manufacture tanks with a capacity of 8550 gallons of
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Question 7 1 / 1 pts Correct! 0.5 0.5 (with margin: 0.05) Question 8 1 / 1 pts Correct! 0.692 0.692 (with margin: 0.001) Question 9 1 / 1 pts Correct! 2.235 2.236 (with margin: 0.001) Question 10 1 / 1 pts Correct! 0.991 0.991 (with margin: 0.001) gasoline. The actual capacity of the tanks is normally distributed with mean gallons and standard deviation gallons. Find the z-score corresponding to a tank with a capacity of 8550 gallons. Round your answer to one decimal place. (Example: 0.3) What is the probability that a randomly selected tank will have a capacity of less than 8550 gallons? Round your answer to three decimal places. (Example: 0.398) A simple random sample of n = 20 tanks will be selected. Find the z-score corresponding to a sample mean capacity for 20 tanks of 8550. Round your answer to three decimal places. (Example: 0.398) A simple random sample of n = 50 tanks will be selected. What is the probability that the mean capacity for these 50 tanks will be greater than 8540 gallons? Round your answer to three decimal places. (Example: 0.398)
Quiz Score: 10 out of 10 COPYRIGHT 2024 BRIGHAM YOUNG UNIVERSITY-IDAHO