1. A certain type of cold vaccine is known to be only 25% effective after a period of 2 years.To determine if a new and somewhat more expensive vaccine is superior in providingprotection against the same virus for a longer period of time, suppose that 20 people arechosen at random and inoculated. If more than 8 of those Teceiving the new vaccinesurpass the 2-year period without contracting the virus, the new vaccine will be consideredsuperior to the one presently in use. The alternative hypothesis is:

Test is that whether a new vaccine is superior in providing protection against the virus for a…

Answered: A certain type of cold vaccine is known…

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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In 2022, the CDC reported that 12.5% of U.S. adults currently smoke cigarettes. From the same report, a random sample of 12,405 Ohioans was taken with 2543 being current smokers. Using α = 0.05, test whether the proportion of Ohioans that smoke cigarettes is different than the proportion of U.S. adults
In a M/M/1 model, the average number of customers in the system is 16, and the average waiting time in the system (i.e., response time) is 53 minutes. Then, the average service time (in minutes) is 03.3125 03.11769 00.32075 00.30189
An experiment to test the effectiveness of regular treatments with fluoride varnish to reduce tooth decay involved 36 volunteers who had half of their teeth (the right side or left side, determined by a coin flip) painted with a fluoride varnish every six month for 5 years. At the end of the treatments, the number of new cavities during the treatment period was compared on treatment (fluoride varnish) side versus the control (no fluoride varnish) side. The appropriate statistical test for analyzing the results of this experiment is O Paired t test for a mean difference O One sample z test for a population mean O Two sample t test for a difference in means O One sample z test for a population proportion O Two sample z test for a difference in proportions
A sample of 900 commuters from New York were interviewed randomly and 416 answered they like express trains. Determine if the sample evidence shows that less than half of the commuters like express trains. Use α=0.05.
A manufacturer claims that it has increased the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of six boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, and 217.Using α = 0.05, test the manufacturer claim that the shelf life of the cake mix is more than 216 days. a- Standard Deviation b- Testing a mean, Calculated c- Critical mean, Table d- p-value e-What do we conclude?
4. Do vaccines work? I take a sample of 1000 of unvaccinated people exposed outside and determined that 600 of them were infected with Comid-19. On the other hand, I take a sample of 800 people who are vaccinated against Comid- 19 and exposed outside and determined that 420 of them were infected with Comid-19. Using a = 0.06, test whether or not the rate of getting Comid-19 is higher in unvaccinated individuals compared to vaccinated ones.
To find out whether a new serum will arrest leukemia, 9 mice, all with an advanced stage of the disease are selected. Five mice receive the treatment and 4 do not. Survival times. In years, from the time the experiment commenced are as follows: Treatment 2.1//5.3/1.4/14.6/7 0.9 No Treatment 1.9// 0.5/7 2.8/7 3.1 At the 0.05 level of significance, determine t table. Blank 1 Determine the pooled standard deviation in two decimal places. Blank 2 Determine the t calculated in two decimal places. Blank 3 can the serum be said to be effective? yes or no. Blank 4 Assume the two populations to be normally distributed with equal variances. Blank 1 Add your answer Blank 2 Blank 3 Blank 4 Add your answer Add your answer Add your answer
A researcher is investigating the effectiveness of a new treatment for improving short-term memory. A sample of n = 8 participants is obtained. Each individual completes a short-term memory test and then begins a 4-week program of the new treatment. At the end of the program, the short-term memory is tested again and the researcher records the amount of difference between the two ratings. For this sample, memory scores increased by an average of M = 3.5 points with SS = 56. Can you conclude that the new treatment significantly improves (increases) short-term memory performance? Test with α = .05, one-tailed. a. state the null and alternative hypotheses b. Locate the boundary of the critical region c. Calculate the test statistic. t = ? d. what is the correct decision? e. Compute r2 to measure the size of the treatment effect. (Round to three decimal places)
In laboratories where clinical tests are carried out, two types of test are available for the detection of a highly contagious virus. The Type A test is very fast and inexpensive while the Type B test is a test that requires more time to obtain a diagnosis and is more expensive. It is known that the economic test. Type A, generates correct diagnosis (C) in 60% of cases. While the Type B test provides the correct diagnosis (C) in 99% of cases. If after six months of quarantine due to this virus the health secretary realizes that 80% of the tests carried out in the state correspond to Type A economic tests and only 20% were Type B. If it is known that a test made an incorrect diagnosis. What is the probability that the Type A economic test did? .9937 .24844 .322 .6211 .3788
Imagine you need to come up with a diagnostic test to monitor the viral load of patients with HIV. If the viral load is higher than a set standard, there is evidence the anti-retroviral therapy is no longer working and the patient needs to be moved to a different therapy that costs more money. Thus, false positives incur higher costs. However, if the test misses higher than normal viral loads (for patients in treatment), then the patient runs the risk of developing AIDS. Hence, false negatives result in a likely deadly disease. How would you balance these two types of error in devising your test? Minimize beta by raising the one-tailed alpha, since greater power will reduce false negatives and save patients O Minimize the one-tailed alpha, since lower P-values indicate the test is highly significant and prevent prematurely switching the patients Minimize the one-tailed alpha and beta, since this action will prevent prematurely switching the patients and reduce false negatives, thereby…
In 2004 it was reported that 31% of all graduating US college students were graduating with STEM degrees (Science Technology Engineering and Math). You want to study if this percentage has increased. To study this you divide the country into 4 major regions, East Coast, Midwest, South, and West Coast and randomly sample 70 students from each region. This means you ultimately randomly sample 280 graduating students and find that 95 of them were graduating with STEM degrees. (a) Carry out at α = .05 a hypothesis test to test the claim that the percentage of US college students that get STEM degrees has increased since 2004. Make sure to check all necessary condi- tions and state your conclusion in the context of this problem. (b) Build a 95% confidence interval to estimate the current percentage of US college students that graduate with a STEM degree. Make sure to check any necessary conditions and interpret your interval in the context of this problem. (c) What type of sampling did you…

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