2. In a class, 15% of the students is expected to fail. Examination marks areroughly distributed, with a mean of 72 and a standard deviation of 6.a. What mark must a student make to pass?d. Within what two marks can we expect the middle 95% of the cases tobe included?e.What two marks are so extreme that only 1% of the class is expected tofall beyond them?

Given Mean=72 Standard deviation=6 15% of students is expected to fail. Data is roughly…

Answered: 2. In a class, 15% of the students is…

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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1. A class had a quiz in Statistics. The scores of the students has a mean of 87 and standard deviation of 3. What proportion of the class are: 1. Between 85 and 90? 2. Higher than 95? 3. Below 80?
B. A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. 1. What is the minimum score to belong to the upper 10% of the group? 2. What are the two extreme scores outside of which 5% of the group are expected to fall? 3. What is the score that divides the distribution into two such that 75% of the cases is below it? 4. Estimate the range of scores that will include the: a. Middle 50% of the distribution b. Middle 95% of the distribution
2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 52% of passengers have no checked luggage, 35% have only one piece of checked luggage and 13% have two pieces. We suppose a negligible portion of people check more than two bags. a) The average baggage-related revenue per passenger is: $ 15.7 X (please round to the nearest cent) b) The standard deviation of baggage-related revenue is: $ 0 (please round to the nearest cent) c) About how much revenue should the airline expect for a flight of 140 passengers? $ X (please round to the nearest dollar)
c) A dispensing machine fills Yomi’s yogurt drinks into cups. The volume of a Yomi’s yogurt drink is normally distributed with a mean of 520 ml and a standard deviation of 5 ml.Question(ii) 4.8% of the of the Yomi’s yogurt drink is having the volume to be less than k ml. Find the value of k.
Here are the monthly wage scales of 8 workers from XYZ Knit Works. 15 13 18 12 21 13 26 22 a. Determine the mean of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the variance of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places
A certain species of tree has an average height of 22 ft with a standard deviation of 3 ft. Which of the following is more likely to exceed 24 ft? A. The average height of a sample of 33 trees B. Not enough information given to compare the choices C. The height of a single tree D. The average height of a sample of 12 trees
17. A set of data has a normal distribution with a mean of 22 and a standard deviation of 5. What percent of the data are within the interval from 17 to 32? 18. The School Dance Committee conducts a survey to find what type of music students would like to hear at the next dance. Which sampling method is least likely to result in a biased sample? a. Call 20% of the people in the senior class directory. b. Interview every 10th student as they enter the school. c. Ask every 5th person leaving a school orchestra concert. d. Set up a jazz website where students can list their favorite songs.
6. A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: Children 0 Number of 24 Women 1 20 2 35 3 13 4 7 5 1 a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. Find the sample median of the number of children. d. What is the first quartile of the number of children? e. What proportion of the women had more than the mean number of children? f. For what proportion of the women was the number of children more than one standard deviation greater than the mean? g. For what proportion of the women was the number of children within one standard deviation of the mean?
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4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
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