In a recent year, the scores for the reading portion of a test werenormally distributed, with a mean of 20.9 and a standard deviation of 6.5.Complete parts (a) through (d) below....(a) Find the probability that a randomly selected high school student who tookthe reading portion of the test has a score that is less than 18.The probability of a student scoring less than 18 is 0.3264.(Round to four decimal places as needed.)(b) Find the probability that a randomly selected high school student who tookthe reading portion of the test has a score that is between 15.5 and 26.3.The probability of a student scoring between 15.5 and 26.3 is(Round to four decimal places as needed.)

Let X be the score for the reading portion of the test.

Answered: In a recent year, the scores for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please answer b and c.
A doctor measured serum HDL levels in her patients, and found that they were normally distributed with a mean of 63.3 and a standard deviation of 3.9. Find the serum HDL levels that correspond to the following z-scores. Round your answers to the nearest tenth, if necessary.(a) z = -1.1(b) z = 2.14
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 the final exam in a large statistics class the average score was 76 with a standard deviation of 7. Assuming a normal population, what scores were so deviant that their probability of occurrence was .01 or less? Choose the best answer. (Hint: .005 in each tail)
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
The cost of textbooks is normally distributed with a mean of $222. You do not know the population standard deviation, but you know the sample standard deviation is $46.What is the probability that from a sample of 15 textbooks, their average cost will be less than $230? (Report answer accurate to three decimal places.)
A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 53.6 mm and a standard deviation of 2.8 mm. (a) Find the z-score for the following data value. (Round your answer to two decimal places.) 48.4 mm. What percent of butterflies had a wingspan less than 48.4 mm? (Round your answer to one decimal place.) (b) Find the 2-scores for the following data values. (Round your answers to two decimal places.) 49 mm 54 mm 254 What percent of butterflies had a wingspan between 49 mm and 54 mm? (Round your answer to one decimal place.)
Use z scores to compare the given values. The tallest living man at one time had a height of 252 cm. The shortest living man at that time had a height of 53.2 cm. Heights of men at that time had a mean of 172.68 cm and a standard deviation of 8.46 cm. Which of these two men had the height that was more extreme? see score past due Since the z score for the tallest man is z=] and the z score for the shortest man is z= the height that was more extreme. (Round to two decimal places.)
The cost of 5 gallons of ice cream has a standard deviation of $8 with the mean of $29 during the summer. What is the probability that the sample mean would differ from the true mean by less than $1.9 if a sample of 92 5- gallon of pail is randomly selected? Round your answer to 4 decimal places
A psychology teacher gave an objective-type test to a class of 400 students and, after seeing the results, decided that the scores were normally distributed. The mean score was 46, and the standard deviation was 15. The teacher assigned a grade of A to all scores of 76 or over, B to scores of 61 to 75, C to scores of 31 to 60, D to scores of 16 to 30 and F to scores below 16. About how many of each grade did the teacher assign? (Round your answers to the nearest whole number. Due to rounding, values may not add to the given sum. Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between 1 and 2, and 2.5% are greater than 2.) A B C D F
The cost of textbooks is normally distributed with a mean of $202. You do not know the population standard deviation, but you know the sample standard deviation to be $49.What is the probability that from a sample of 10 textbooks, their average cost will be less than $210? (Report answer accurate to three decimal places.)

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS