A researcher wants to test whether UBCstudents are more intelligent than thegeneral population. He knows that thegeneral population has an averageintelligence score of 100, with sigma = 15.He measures intelligence in a sample of 36UBC students and finds an average scoreof 108, with a standard deviation of 9. Testthis hypothesis using a = .05. Show all thesteps.

A hypothesis testing is used to test whether the population parameter is equal to the claimed value…

Answered: A researcher wants to test whether UBC…

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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Are you smarter than a second-grader? A random sample of 55 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 55. Assume the standard deviation of test scores is o = 10. The nationwide average score on this test is 51. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the a = 0.01 level of significance and the critical value method. Part: 0 / 5 Part 1 of 5 (a) State the appropriate null and alternate hypotheses. Ho : O
To determine whether people are contributing more to their IRA’s in 2004 compared to 2001 a sample of 150 clients at a brokerage firm in 2004 shows that people deposited an average of $1500 to their IRA’s with a sample standard deviation of $400. In 2001 at the same brokerage, a sample of 200 clients revealed a sample average amount deposited into IRA’s was $1425 with a standard deviation of $520. Based on the 2 samples, test to see if the average amount deposited in 2004 is higher than the average amount in 2001. (test at the 1% level of significance). (15) What is the p-value?
The researcher is interested in whether the level of pain tolerance is the same in the sample of male and female patients. To investigate this problem, during the same medical procedure, the researcher requested males and females to assess their level of pain (0 – feel nothing; 100 – the worst pain ever). In the sample of 16 females, the average score was 65, with a standard deviation of 13.5. In the sample of 25 males, the average score was 82, with a standard deviation of 12. Test a hypothesis that pain scores are equal for male and female patients. Assume that two samples are independent, have an approximately normal distribution, and have equal variance. Assume alpha = 0.20.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1482 and the standard deviation was 315. The test scores of four students selected at random are 1910, 1200, 2210, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 318. The test scores of four students selected at random are 1910, 1210, 2210, and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
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After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic. d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.

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