An instructor who grades “on the curve" computes the mean and standard deviationof the grades, and then, assuming a normal distribution with this u and o, sets theborder lines between the grades at: C from µ – o to µ+ 3o, B from µ +o toµ + 30, A from µ + 3o up, etc. Find the percentages of the students receivingthe various grades. Where should the border lines be set to give the percentages:A and F, 10%; B and D, 20%; C, 40%?25.

From the provided information, the initial borderlines for the grades are defined as: F:μ-32σ or…

Answered: An instructor who grades “on the curve"…

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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Find the z-score location of a vertical line that separates a normal distribution as described in each of the following. 5% in the tail on the left 30% in the tail on the right 65% in the body on the left 80% in the body on the right A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail. X = 72 X = 76 X = 66 X = 60 For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the proportion of the population corresponding to each of the following. Scores greater than 65. Scores less than 68. Scores between 50 and 70. IQ test scores are standardized to produce a normal distribution with a mean of μ = 100 and a standard deviation of σ =15. Find the proportion of the population in each of the following IQ categories. Genius or near genius: IQ over 140 Very superior…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma. I need help with part B and D
Sheila's doctor is worried that she might develop gestational diabetes during her pregnancy. There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if their glucose level is above 140 mg/dl one hour after consuming a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution, with p = 125 mg/dl ando = 10 mg/dl. Fill in the following blanks with the correct options: (a) If a single glucose measurement is made, the probability that Sheila is diagnosed as having gestational diabetes is (0.0668, 0.1587, 0.2525, or 0.3173?). (b) Assuming that the population mean is 125 mg/dl, imagine that we repeat taking all possible samples of size 4 from the population, then only about 1.3 out of (10, 100, or 1,000?) sample means will have values as large as (125 or 140?) cm or even larger.
se the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the ormal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 33.6, 44.0, 40.6, 38.9, 33.0 O List the z scores for the normal quantile plot. 00000 (Round to two decimal places as needed. Use ascending order.) Identify the coordinates of each point in the normal quantile plot. Use ordered pairs for the form (x,y), where x is the sorted arm circumferences in ascending order, and y is the corresponding z score. (Round to two decimal places as needed. Use ascending order.) Construct the normal quantile plot. OA. OB. Oc. OD. 2.00- 2.00- 2.00- 2.00 1.00- 1.00- 1.00- *1.00- 0.00- 0.00- 5 0.00- 0.00- -1.00- -1.00- -1.00- -1.00- -2.00+ 30 -2.00+ 30 -2.00 30 -2.00 30 50 50 X Values 50 X Values 50 X…
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About % of the area is between z= -2 and z=2 (or within 2 standard deviations of the mean). About % of the area is between z= -2 and z=2 (or within 2 standard deviations of the mean). (Round to two decimal places as needed.)
Answer number 3
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The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curv Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct. A 19.1% B 30.9% C 38.2% D 69.1% E 68.27% A The percentage of people with blood pressure between 130 and 150 mm. B The percentage of people with blood pressure between 140 and 150 mm. D The percentage of people with blood pressure over 150 mm.
Determine the z value for each of the following x values for a normal distribution withu = 16 and o= 3. x-u Z= а. х3 10 b. x= 15 C. X= 20
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 84, which is to the left of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded. The area of the shaded region is (Round to four decimal places as needed.)
A normal distribution has a mean of μ = 50 and a standard deviation of σ =12. Find the proportion of the distribution located in the tail for X = 53.
Sketch the normal distribution with a. µ = -2 and σ = 2.b. µ = -2 and σ = 1/2.c. µ = 0 and σ = 2.

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