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The z-scores of the test results of a sample of 43 students follow the T-distribution with 42 degrees of freedom. Let X be the z-score of a randomly selected student. 1. Describe the distribution of X: X-T✓ ✓ (df-42 2. Use the random variable notation to express symbolically each of the following: P(X<-1.7)=0.05✓ The probability of an event in which the z-score of a randomly selected student is less than -1.7 is equal to 0.05. X<0 P(X<2) student is less than 2. ✓An event in which the z-score of a randomly selected student is less than 0. The probability of an event in which the z-score of a randomly selected 3. Use technology to find the probability that the z-score of a randomly selected student is: i. less than 0: ii. more than 2: iii. between -1 and 0.7: iv. more than 9.6: v. less than 12.3: 4. Find the 2-th percentile: 12% (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)

The z-scores of the test results of a sample of 43 students follow the T-distribution with 42 degrees of freedom. Let X be the z-score of a randomly selected student. 1. Describe the distribution of X: X-T✓ ✓ (df-42 2. Use the random variable notation to express symbolically each of the following: P(X<-1.7)=0.05✓ The probability of an event in which the z-score of a randomly selected student is less than -1.7 is equal to 0.05. X<0 P(X<2) student is less than 2. ✓An event in which the z-score of a randomly selected student is less than 0. The probability of an event in which the z-score of a randomly selected 3. Use technology to find the probability that the z-score of a randomly selected student is: i. less than 0: ii. more than 2: iii. between -1 and 0.7: iv. more than 9.6: v. less than 12.3: 4. Find the 2-th percentile: 12% (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)

MATLAB: An Introduction with Applications
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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Question 18 The z-scores of the test results of a sample of 43 students follow the T-distribution with 42 degrees of freedom. Let X be the z-score of a randomly selected student. 1. Describe the distribution of X: 2. Use the random variable notation to express symbolically each of the following: P(X<-1.7)=0.05 The probability of an event in which the z-score of a randomly selected student is less than -1.7 is equal to 0.05. |X<0 An event in which the z-score of a randomly selected student is less than 0. P(X<2) ✓ The probability of an event in which the z-score of a randomly selected student is less than 2. 3. Use technology to find the probability that the z-score of a randomly selected student is: i. less than 0: ii. more than 2: iii. between 1 and 0.7: iv. more than 9.6: X-TV (df= 42 v. less than 12.3: 4. Find the 2-th percentile: 12% (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
Transcribed Image Text:Question 18 The z-scores of the test results of a sample of 43 students follow the T-distribution with 42 degrees of freedom. Let X be the z-score of a randomly selected student. 1. Describe the distribution of X: 2. Use the random variable notation to express symbolically each of the following: P(X<-1.7)=0.05 The probability of an event in which the z-score of a randomly selected student is less than -1.7 is equal to 0.05. |X<0 An event in which the z-score of a randomly selected student is less than 0. P(X<2) ✓ The probability of an event in which the z-score of a randomly selected student is less than 2. 3. Use technology to find the probability that the z-score of a randomly selected student is: i. less than 0: ii. more than 2: iii. between 1 and 0.7: iv. more than 9.6: X-TV (df= 42 v. less than 12.3: 4. Find the 2-th percentile: 12% (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places) (round the answer to 2 decimal places)
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