ALTERNATE EXAMPLE (387)What z-score did I get?Analyzing the effect of transformations melPROBLEM:In a large introductory statistics class, the distribution of scores on a recent test follows anapproximately Normal distribution with a mean of 82.4 and a standard deviation of 5.1. LetX be the test score for a randomly selected student. To test the students' grasp of thematerial, the teacher cleverly decides to convert all the scores to z-scores and then reportthese values to students. If Z is the z-score for the randomly selected student, thenX -82.45.1(a) Find the mean of Z.(b) Calculate and interpret the standard deviation of Z.

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Answered: X-82.4 Z = 5.1 (a) Find the mean of Z.…

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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Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV1. Assume the mean FEV1 for 10 -year-old boys is 2.1 liters and that the population standard deviation is =σ0.4 . A random sample of 35 10 -year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 1.98 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =α0.10 level of significance and the P -value method with the TI-84 calculator. Part: 0 / 4 0 of 4 Parts Complete Part 1 of 4 State the appropriate null and alternate hypotheses. :H0 :H1 This hypothesis test is a ▼(Choose one) test.
Interpret the Z score for a student who scored an 91 on an exam that had a mean of 86 and a standard deviation of 5. One mean above the standard deviation One standard deviation above the mean One standard deviation below the mean One mean below the standard deviation
A population has mean u=30 and standard deviation o=7. (A) Find the z-score for a population value of 9. (B) Find the z-score for a population value of 51. (C) What number has a z-score of -2.3
Estimate the absolute deviation and the coefficient of variation for the results of thefollowing calculations. Round each result so that it contains only significant digits. Thenumbers in parentheses are absolute standard deviations.
Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? (a) Find the area to the right of z = -1 under a standard normal curve. (b) Find the area to the right of z=1 under a standard normal curve. (c) Find the area to the left of z = 1 under a standard normal curve. (d) Find the area between z=-1 and z=1 under a standard normal curve. (e) None of the above
Using a mean of 10 and standard deviation of 2.45, convert these z-scores back into raw scores. z-score = 1.11 Raw Score= _______________ z-score = -1 Raw Score= ______________ z-score= -0.92 Raw Score= _____________
The variable W represents the weight of potatoes buns sold at the bakery. This variable is normally distributed with mean 90 g and standard deviation 6 g. (a) (i) Explain the meaning of S6 . (ii) Find the mean and standard deviation of S6 . (ii) Hence, Calculate P ( S6 2 560 g).
Interval 30-39 40-49 50-59 60-69 70-79 80-89 90-99 Frequency 2 3 6. 4 11 31 33 Standard deviation = (Round to one decimal place as needed.) Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation, 11.1? O A. The computed value is not significantly different from the given value. B. The computed value is significantly greater than the given value. O c. The computed value is significantly less than the given value.
Now use the binomial formulas below to find the mean and standard deviation when n = 5 and p = 0.02.

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X-82.4 Z = 5.1 (a) Find the mean of Z. (b) Calculate and interpret the standard deviation of Z.