56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.)(A) 0.10(B) 0.18(C) 0.50(D) 0.82(E) 0.90Questions 57 and 58 – Use the Empirical Rule:A population of bolts has a mean thickness of 20 millimeters, with a population standard deviation of 0.01 millimeters.57) Give, in millimeters, a minimum and maximum thickness that includes 68% of the population of bolts.(A) 20.00 to 20.02 millimeters(B) 19.00 to 21.00 millimeters(C) 19.98 to 20.02 millimeters(D) 19.99 to 20.01 millimeters(E) 19.97 to 20.03 millimeters58) Give, in millimeters, a minimum and a maximum thickness that will include 95% of the population of bolts.(A) 19.98 to 20.02 millimeters(B) 19.99 to 20.01 millimeters(C) 19.97 to 20.03 millimeters(D) 19.8 to 20.2 millimeters(E) These can't be accurately computed.59) The SAT math scores for applicants to a particular engineering school are normally distributed with a mean of 680and a standard deviation of 35. Suppose that only applicants with scores above 700 are considered for admission, Whatpercentage of the applicants considered have scores below 750?(A) 2.3 percent(B) 26.1 percent(C) 71.6 percent(D) 92.0 percent(E) 97.7 percent60) Given two events, E and F, such that and, then the two events are:(A) independent and mutually exclusive.(B) independent, but not mutually exclusive.(C) mutually exclusive, but not independent.(D) neither independent nor mutually exclusive.(E) there is not enough information to answer the question.61) The number of hybrid cars a dealer sells weekly has the following probability distribution:Number of hybridsProbability3L114.085|322|.15.28.06The dealer purchases the cars for $21,000 and sells them for $24,500. What is the expected weekly profit from sellinghybrid cars?(A) S2,380(B) S3,500(C) $5.355(D) S8,109(E) S37,485

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Answered: 56) Molly earned a score of 940 on a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a data set with a mean of 28 and standard deviation of 6, what is the value of the standard unit for an observation of 19? (This is also sometimes called a z-score.) Use 2 decimal places in your answer. Your Answer:
Isabella's points per game of bowling are normally distributed with a standard deviation of 8 points. If Isabella scores 148 points, and the z-score of this value is 3, then what is her mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 150 points, you would enter 150. Provide your answer below:
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.3 Mbps. The complete list of 50 data speeds has a mean of x = 18.24 Mbps and a standard deviation of s = 17.77 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is (Type an integer or a Mbps. decimal. Do not round.) b. The difference is (Round to two decimal standard deviations. places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is C
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=19.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? Question content area bottom Part 1 a. The difference is 54.3154.31 Mbps. (Type an integer or a decimal. Do not round.) Part 2 b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)
On a nationwide test taken by high school students, the mean score was 51 and the standard deviation was 13. The scores were normally distributed. Complete the following statements. (a) Approximately ? of the students scored between 38 and 64. (b) Approximately 95% of the students scored between and .
Suppose the scores on your last Algebra 2 test were normally distributed, with a mean of 81% and a standard deviation of 3%. To show you how you compared to your classmates, the teacher did not record your grades as per- centages, instead, she wrote them as z-scores. You look at your paper and see "2.66" written at the top. What was your score as a percentage? Explain how you determined your answer.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.7 Mbps. The complete list of 50 data speeds has a mean of x = 15.45 Mbps and a standard deviation of s = 21.16 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to az score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is Mbps. (Type an integer or a decimal. Do not round.)
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 73.7 Mbps. The complete list of 50 data speeds has a mean of x = 16.05 Mbps and a standard deviation of s = 17.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? ..... a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is Next MacBook F12 DD F11 DII F10 F9 F8 888 00 F7 F6 F5 F4 F3 F2 F1 & ! @ # $ 7 8 4 5 6…

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56) Molly earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (A) 0.10 (B) 0.18 (C) 0.50 (D) 0.82 (E) 0.90