**Question 21:**A multiple-choice quiz has 200 questions, each with 4 possible answers of which only 1 is correct. What is the probability that sheer guesswork yields more than 38 correct answers out of 100 problems which the student has no knowledge? [Hint: you may use the normal distribution to approximate the answer]

In this case, each of the answered questions has the only options of being "correct" (let's define…

Answered: Q21) A multiple-choice quiz has 200…

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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Jump to... Which one of the following statements about the distribution of the sample proportion is false? Select one: a. The distribution of the sample proportion is approximately normal for large sample sizes. b. The mean of the sample proportion is equal to the population proportion of successes, p. c. The variance of the sample proportion always decreases as the population proportion of successes decreases. d. The variance of the sample proportion is equal to p(1-p) divided by the sample size, n. e. As the population proportion increases, the mean of the sample proportion increases. Previous page Nex
You want to find the probability of getting a z score less than or equal to 1.2. Which distribution would be the best for calculating this probablity
Which of the following is true of z scores that fall below the mean? Group of answer choices They are negative. They are equal to the mode. They are positive. They are in the upper half of the distribution.
After conducting a literacy test on inmates, the evaluator realizes that the test was much more difficult than expected. The shape of the distribution would be? (normal, positively skewed, negatively skewed, or bell-shaped?) How do I recognize which one it is?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $132,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 37 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N c. For a single randomly selected graduate, find the probability that her salary is between $129,255 and $133,703. d. For a simple random sample of 37 graduates, find the probability that the average salary is between $129,255 and $133,703. e. For part d), is the assumption of normal necessary? O YesO No
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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $181,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 39 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N b. What is the distribution of a? - NO c. For a single randomly selected graduate, find the probability that her salary is between $180,714 and $188,276. d. For a simple random sample of 39 graduates, find the probability that the average salary is between $180,714 and $188,276. e. For part d), is the assumption of normal necessary? O No Yes Question Help: Message instructor Submit Question
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A survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.10. Complete parts (a) through (d). New Survey Frequency, f 111 97 Response Old Survey % Rewards 29% 23% Low rates Cash back Discounts Other 22% 108 8% 46 18% 63 UD. XX O D. X Xo 2 OC. X >Xo OC. X>x (c) Calculate the test statistic. (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the claimed or ▼enough evidence to conclude that the distribution of motivations Ho At the 10% significance level, there expected distribution.
The standard deviation of a variable that has a normal distribution controls? a. The spread of the curve and is interpreted as the typical distance and observation is from the mean b. The spread of the curve and is interpreted as the typical outcome c. The probability is equivalent to the binomial formula calculation, but very rare d. The location of the curve and is interpreted as the mean or average outcome
In a distribution with u = 80 and o = 20, a z-score of z = -1.00 corresponds to an X value of X = 70. O True O False
..... Sketch the graph of the normal distribution with the indicated probability shaded. O A. B. Oc. OD. u=27 A=27 The normal distribution cannot be used 27 to approximate the binomial distribution. 10 33 44 ent (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 37. asou (Round to four decimal places as needed.) ccess Sketch the graph of the normal distribution with the indicated probability shaded,

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