Can you help with # 4 on my hw pls ### Probability and Statistics Exercise#### Comparing Z-Scores**Question 4:**Which score has a better position? (show your calculations of the z-scores)- A score of 33.1 on a test with a sample mean of 28 and \( s = 5 \) or- A score of 289.7 on a test with a sample mean of 268 and \( s = 19 \)**Solution:**To determine which score has a better position, we need to calculate the z-scores for both test scores.The z-score formula is: \[ z = \frac{(X - \mu)}{s} \]Where:- \( X \) is the score- \( \mu \) is the sample mean- \( s \) is the standard deviationFor the first test score:\[ X = 33.1, \mu = 28, s = 5 \]\[ z = \frac{(33.1 - 28)}{5} = \frac{5.1}{5} = 1.02 \]For the second test score:\[ X = 289.7, \mu = 268, s = 19 \]\[ z = \frac{(289.7 - 268)}{19} = \frac{21.7}{19} \approx 1.14 \]Conclusion: The second score has a better position because it has a higher z-score.#### Probability Question**Question 5:**Use the following table to answer the probability questions:| Waiting time (minutes) | Number of customers ||------------------------|---------------------|| 0-3 | 14 || 4-7 | 9 || 8-11 | 11 |This table shows the number of customers corresponding to different waiting times.**Instructions:**Use this table to calculate probabilities related to customer waiting times. For example, to find the probability that a customer's waiting time is between 4 and 7 minutes, divide the number of customers in that range by the total number of customers. **Calculations:**Total number of customers = \( 14 + 9 + 11 = 34 \)Probability that a customer's waiting time is 0-3 minutes:\[ P(0-3) = \frac{14}{34} \approx

Given data i) x = 33.1 Mean = 28 Standard deviation s = 5

4) Which score has a better position? (show your calculations of the z-scores) A score of 33.1 on a test with a sample mean of 28 and s= 5 or A score of 289.7 on a test with a sample mean of 268 and s =19?

4) Which score has a better position? (show your calculations of the z-scores) A score of 33.1 on a test with a sample mean of 28 and s= 5 or A score of 289.7 on a test with a sample mean of 268 and s =19?

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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