b) A school district wants to evaluate the effectiveness of a new teaching method for improvingstudents' math scores. They believe the improvement in math scores is normally distributedwith o = 4 points.A sample of 25 students is randomly selected and their math scores are measured before andafter the new teaching method is implemented. The sample standard deviation of thedifferences in math scores is 5.2 points. Does the school district have evidence to supporttheir assumed standard deviation of 4 points? Use critical values of X3.975 and X3.025 (a 95%window).i) Find the value of the test statistic for this sample and the two critical values.ii)X0.975 =YESx² =Does the school district have evidence to support their assumed standard deviationof 4 points? Circle YES or NO and briefly explain your answer.NOX0.025 =

(b) (i) That is, there is no evidence to conclude that the standard deviation is different from 4…

Answered: b) A school district wants to evaluate…

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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The mean number of english courses taken in two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of 3 english courses with a standard deviation of 0.8. The females took an average of four english courses with a standard deviation of 1.0. Are the means statistically the same?
In 2019, College Board reported that the mean score for the math section of the SAT was 528 with a standard deviation of 110. A math department at local university would like to give a scholarship to any student that scored in the top 2.5% of students in the math section. What is the minimum score needed to get this scholarship? Assume the scores are normally distributed. A/
Do men take a different amount of time than women to get out of bed in the morning? The 54 men observed averaged 4.3 minutes to get out of bed after the alarm rang. Their standard deviation was 1.4. The 59 women observed averaged 5 minutes and their standard deviation was 2.8 minutes. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: μ1 = + μ2 (please enter a decimal) H₁: μ1 # ♦ μ2 (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic t = d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is α f. Based on this, we should fail to reject + the null hypothesis.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1540 and a standard deviation of 299. The local college includes a minimum score of 2377 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? Give your answer as a percentage rounded to one decimal place.
The water consumption per week by Brampton residences is normally distributed with an average of 125 gallons of water and a standard deviation of 10 gallons. The city of Brampton claims that the average water consumed in the state of Brampton is not 125 gallons. A team of AU students draws a simple random sample of 10 residences and find the mean consumption value of 120.3 gallons. Calculate the Zc and p-value showing all the steps.
Individual scores for practices towards COFLU-20 are found to be normally distributed with a mean of 3 and a standard deviation of 1.5 over the entire population. The Ministry of Health wishes to use this information to identify individuals whose score on practices towards COFLU20 is in the lower 75%, in order to give them relevant information on the best practices towards COFLU-20. You are asked to assist in calculating the score that the Ministry of Health should use to decide whether an individual should be given the relevant information?
The mean and standard deviation of Carbon concentration is 5 mg/L and 2 mg/L based on 25 samples from a river. The mean and standard deviation of Nitrogen concentration is 7 mg/L and 3 mg/L based on 35 samples from the same river. The experimenter wants to answer the question if the Nitrogen concentration is higher than the Carbon concentration. Which of the following methods do you use? Z-test, Default Procedure Z-test, Pooled Variance Procedure T-test, Pooled Variance Procedure T-test, Default Procedure
The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12 years old. What type of test should you use? A) z-test for population mean B) t-test for population mean C) z-test for population proportion

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