When the test statistic is in thenon-critical region, then the nullhypothesis must not be rejected.[ Select ]- When the population standarddeviation is known and thesample size is more than 30, Z-test is more appropriate to usefor testing hypotheses than t-test.[ Select ]For a two-tailed test, the absolutevalue of the test statistic is beingcompared to the absolute valueof the critical value to make adecision.[ Select ]

For the given Select the correct choice

Answered: ▪ When the test statistic is in the…

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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Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency. We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.) Do we reject the null hypothesis here? why or why not.
A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6
The Woodcock-Johnson Cognitive Ability test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean IQ of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. What are the confidence intervals for this data? What is the value of the test statistic? What is the p-value for this data? What is your decision about the null hypothesis? summerize the conclusion in the context
Your friend Mona claims that the average student debt immediately after graduation in the United States is $30,000. You want to see if your university has lower student debt at graduation. To test this, you randomly collect data from 169 students who recently graduated. The average of your sample is $29,321, with a sample standard deviation of $6,257. Using this data to perform the hypothesis test with H0: mean=30,000 vs H0: mean<30,000. What is the p-value of this test, and what is the conclusion of this test at the alpha=0.10 level?
Verdadero=true falso=false
A discount airline allows staff 36.0 minutes between flights to clean the aircraft interior. The aircraft workers union claims that that average time that it takes to this cleaning is more than 36.0 minutes. They want to carry out a hypothesis test. They take a random sample n = 40 flights and time how long it takes to carry out the cleaning. They find that the sample mean is 36.66 minutes and the sample standard deviation is 5.56 minutes. Calculate the test statistic for this test and enter your answer below. Give your answer to 2 decimal places.
Suppose you sample six people on their number of visits to Chick-fil-A in a month given by variable Y. Y = 3,6,7,10,15,19 (A) What is the mean of Y? Standard Deviation of Y?(B) What is the Standard Error of Y?(C) Construct 90% and 95% Confidence Intervals for Y.
A fitness magzine claims that the mean monthly membership due is $25. you took a simple of 18 clubs and the average cost monthy is $26.25, and the sample standard deviations'$3.23 lf you don't trust its claim, what is the null hypothesis and what is the alternative hypothesis lf you trust its claim, what is the null hypothesis and what is the alternative hypothesis
Please help!
Suppose your hypothesis is that the average price of a two bedroom home in Little Rock is $150,000. You sample 17 homes and find an average price of $145000 with a standard deviation of 7,500. Set up the null hypothesis, and the alternate hypothesis (you can write this out in words). Show the test statistic, the critical statistic, and the results of your hypothesis test. (A) Test the hypothesis at the 10% significance level (B) Test the hypothesis at 5% significance level (C) Test the hypothesis at 1% significance level.
You are conducting a hypothesis test on the outcome of an Statistics test at a large state University. Your null hypothesis is that the overall class average is less than or equal to 0.80. You take a sample of 64 people (a large sample), and find that the sample average is 0.82, and the standard deviation is 0.05. Your hypothesis test will be conducted at the 0.01 significance level. You calculate your test statistic would be 3.20. Would your test statistic be higher or lower if, instead, you were testing at the 0.01 level? Group of answer choices Lower HIgher The same (neigher higher, nor lower).
A telephone poll of 500 adult Americans was reported in an issue of Time Magazine. One of the questions asked was “What is the main problem facing the country?” Thirty percent answered “crime”. We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. i. State the confidence interval, ii. Sketch the graph, iii. Calculate the error bound 4. Suppose we want to lower the sampling error. What is one way to accomplish that?

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