QUESTION 3 On a class exam, students' scores followed a Gaussian distribution. The class averaged 77 points with a standard deviation of 5. Find the exam score for a student who has a relative standing of Z=2. HINT: The "Empirical Rule" can be used to help draw the scale of any normal distribution. Recall that approximately 68% of the data lies within 1 standard deviation of the mean, approximately 959% lies within 2 standard deviations, and approximately 99% falls within 3 deviations of the mean. O a. 70 Ob.87 O. 50 Od 62

QUESTION 3 On a class exam, students' scores followed a Gaussian distribution. The class averaged 77 points with a standard deviation of 5. Find the exam score for a student who has a relative standing of Z=2. HINT: The "Empirical Rule" can be used to help draw the scale of any normal distribution. Recall that approximately 68% of the data lies within 1 standard deviation of the mean, approximately 959% lies within 2 standard deviations, and approximately 99% falls within 3 deviations of the mean. O a. 70 Ob.87 O. 50 Od 62

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
The life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?
Question 4
The mean salary at a local industrial plant is $29,600 with a standard deviation of $5700. The median salary is $25.300 and the 59th percentile is $30,200. Step 5 of 5: If Tom's salary has a z-score of 0.6, how much does he earn (in dollars)?
A vertical line is drawn through a normal distribution so that 47.5% of the distribution is located between the line and the mean. The line is drawn at z = 1,96 or at z = -1.96. Question 13 options: True or False
A marketing specialist wants to estimate the average amount spent by visitors to an online retailer's newly-designed website. From the data in a preliminary study she guesses that the standard deviation of the amount spent is about 14 dollars. Question 1. How large a sample should she take to estimate the mean amount spent to within 5 dollars with 95% confidence? (Round your answer up to the next largest integer).
A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 26 samples is 5.9 ppm with a standard deviation of 0.6. Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Answer Ho: Ha: Tables Keypad Keyboard Shortcuts