2. Consider the normal distribution of IQs with mean of 100 and a standard deviation of16. What percentages of IQs are;a. Greater than 95b. Between 90 and 110C. Less than 1203. Given a normal distribution with population mean of 42 and population variance of 16,find the value of x that leaves 12.3% of the area to the right of z-score of x?4. Find the upper 10% of the normal curve. (hint: the shaded region to the right of z-score)

Note: As per our guidelines we are answering only one question (or) 3 subparts and the rest can be…

Answered: 2 Consider the normal distribution of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38beats per minute, the mean of the listed pulse rates is x =73.0 beats per minute, and their standard deviation is sequals=23.2 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates isx= 78.0 beats per minute, and their standard deviation is s = 20.7 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, significant? the pulse rate of 39 beats per minute a. The difference is beats per minute. (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 lowest pulse rate is
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with. standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.8 feet tall? e. What is te probability that a randomly selected giraffe will be between 18.8 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 35 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 35 beats per minute significant? a. The difference is beats per minute. (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 lowest pulse rate is
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?
Assume the birth weights at a local hospital have a normal distribution with a mean of 110 oz and a standard deviation of 15 oz. Draw a normal curve and label the mean and each value which is one, two, or three standard deviations above the mean. Then label each value which is one, two, or three standard deviations below the mean.
IQ test scores are standardized to proceed a normal distribution with the mean of u =100 and a standard deviation of 0 = 15. Find the proportion of the population in each of the following IQ categories. a. Genius or new genius IQ greater than 140 b. Very Superior intelligence IQ between 120 and 40 c. Average or normal intelligence IQ between 90 and 109
The quantitative subtest of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. What GRE score would correspond to a z score of 1.50? a. 600 b. 500 c. 340 d. 650
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall?
For a data set of the pulse rates for a sample of adultfemales, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=23.1 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minute to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant?
13. A normal distribution has a mean of u = 30 and a standard deviation of o = 12. For each of the following scores, indicate whether the body is to the right or left of the score and find the proportion of the distribution located in the body. a. X = 33 ANSWER I b. X = 18 ANSWER ! c. X = 24 ANSWER I d. X = 39

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

2 Consider the normal distribution of IQs with mean of 100 and a standard deviation of 16. What percentages of IQs are; a. Greater than 95 b. Between 90 and 110 C Less than 120