In the population, the average IQ is 100. Ateam of scientists wants to test a newmedication to see if it has either a positive ornegative effect on intelligence, or no effect atall. A sample of 16 participants who have takenthe medication has a mean of above 140 with astandard deviation of 60. Did the medicationaffect intelligence? Use 0.005 level ofsignificance.•Formulate the Null Hypothesis Test andAlternative Hypothesis Test, Find the criticalvalue, Compute the test statistics, If theproblem is under T-test, Decide the tailed testand test statistics, Find the degrees offreedom, State the conclusion, What is thedecision?

Answered: Image /qna-images/answer/c9e6ba33-228e-463c-bfad-6951e76f8f56.jpg

Answered: In the population, the average IQ is…

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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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
A z-test is to be performed for a population mean. Express the decision criterion for the hypothesis test in terms of x. That is, determine for what values of x the null hypothesis would be rejected. ala After training intensively for six months, John hopes that his mean time to run 100 meters has decreased from last year's mean time of 11.8 seconds. He performs a hypothesis test to determine whether his mean time has decreased. Preliminary data analyses indicate that it is reasonable to apply a z-test. The hypotheses are Ho:u= 11.8 seconds H:u11.64 O Reject H, if x 11.61 Submit Assignment 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy II
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?
A test of mental acuity involves measuring the subject's cognitive skills. Sixty randomly selected subjects take the test and produce a mean score of 75 with a standard deviation of 6. Find the P-value At the 0.01 level of significance, test the claim that the true mean score for all subjects is more than 73.
A restaurant claims that it's hamburgers had no more than 10 g of fat. You work for nutritional health agency and are asked to test this claim. You find a random sample of nine has a mean that content of 13.5 g and standard deviation of 5.8 g. At a equals 0.10, do you have enough evidence to reject the restaurants claim.
A clinical researcher performs a clinical trial on 12 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 6. Sample mean glucose (mg/dL) Before treatment 114 After treatment 108 What type of hypothesis test should be performed?Select: Left-tailed z-test Unpaired t-test Two-tailed z-test Paired t-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the drug treatment has an effect on serum glucose at the α=0.05 significance level? Select: _____Yes OR _____No
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
A data set includes data from student evaluations of courses. The summary statistics aren=98, x= 3.41, s= 0.59. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. ..... What are the null and alternative hypotheses? ОВ. Но и3.50 O A. Ho:u=3.50 H,:µ> 3.50 OA. Hqi H#3.50 O C. Ho: H= 3.50 H1:µ<3.50 O D. Ho: µ#3.50 H1:µ= 3.50 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. correct. V Ho. There is V evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 MacBook 吕0 000 000 F7 F6 F5 F4 F3 esc F1 F2 & $ 7 8. 1 2 Y Q W E R
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A researcher claimed that for people that smoke cigarettes, the average number of cigarettes smoked per day is greater than 9. To test her claim, she selected a random sample of 36 smokers and found the mean number of cigarettes smoked per day was 10. The standard deviation of the population is 2.5 cigarettes. At a = 0.05, conduct all steps of a hypothesis test to test the researcher's claim.
You suspect that drivers for Uber/Lyft have newer cars than a driver who doesn’t drive for Uber/Lyft. Listed below are the ages of cars that you randomly sampled from the streets of Portland. If one were to conduct a hypothesis test for the difference in mean car age and mean Uber/Lyft car age, the conditions for the test would need to be checked. What conditions should you check? Check the conditions and explain how the conditions are met or not. What is the appropriate test to conduct, an independent samples t test or paired t test? Explain. Uber/Lyft car age 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 Non-Uber/Lyft Car age 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4
The average salary for American college graduates is $45,100. You suspect that the average is less for graduates from your college. The 50 randomly selected graduates from your college had an average salary of $42,788 and a standard deviation of $5,940. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < = ≠ H1:H1: ? p μ Select an answer ≠ > = < The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer fail to reject reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 45,100 at αα = 0.05, so there is…

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