(b)The average mean protection of COVID-19 disease for vaccine Type A is 80,while the average mean protection for vaccine Type B is 75. The standarddeviations are 5 and 3 respectively. A random sample of a group of 15 peoplein a certain medical study were observed under vaccination for both types ofvaccine. Construct a 90% confidence interval for the difference between themean protection of COVID-19 disease for the two types of vaccine, assumingnormal populations with unequal variances.

Answered: Image /qna-images/answer/532b13de-dbe6-40bf-a1be-539f858d53de.jpg

Answered: (b) The average mean protection of…

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 recent study surveyed adults on their views about the Covid-19 vaccine. In a random sample of 850 adults, 430 said that they are concerned that Covid-19 variants will hamper the country's ability to stop the spread of the disease. Use this sample to construct a 90% confidence interval for the population proportion of all U.S. adults who are concerned that Covid-19 variants will hamper the country's ability to stop the spread of the disease.
Suppose that in a simple random sample of 30 chicken carcasses from the ACME chicken plant (which has 10,000 chickens), 5 test positive for salmonella and 25 test negative for salmonella. Provide a point estimate and 95% CIs for the prevalence of salmonella among chicken carcasses from the ACME plant, assuming the test is 100% accurate. For the confidence interval, use a two-sided interval and report results from both the “exact method” and the “normal-theory method” (large sample approximation), then comment on whether the normal-theory method is reasonable based on comparison with results from the exact method.
A study of two kinds of photocopying equipmentshows that 61 failures of the first kind of equipment took on the average 80.7 minutes to repair with a stan-dard deviation of 19.4 minutes, whereas 61 failures of the second kind of equipment took on the average 88.1minutes to repair with a standard deviation of 18.8 minutes. Find a 99% confidence interval for the dif-ference between the true average amounts of time it takes to repair failures of the two kinds of photocopyingequipment.
The trial enrolled 30,420 volunteers who were randomly assigned in a 1:1 ratio to receive either vaccine or placebo (15,210 participants in each group). More than 96% of participants received both injections, and 2.2% had evidence (serologic, virologic, or both) of SARS-CoV-2 infection at baseline. Symptomatic Covid-19 illness was confirmed in 185 participants in the placebo group (56.5 per 1000 person-years; 95% confidence interval [CI], 48.7 to 65.3) and in 11 participants in the mRNA-1273 group (3.3 per 1000 person-years; 95% CI, 1.7 to 6.0); vaccine efficacy was 94.1% (95% CI, 89.3 to 96.8%; P<0.001). Efficacy was similar across key secondary analyses, including assessment 14 days after the first dose, analyses that included participants who had evidence of SARS-CoV-2 infection at baseline, and analyses in participants 65 years of age or older. Severe Covid-19 occurred in 30 participants, with one fatality; all 30 were in the placebo group. Moderate, transient reactogenicity…
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4. The 95% confidence interval between the difference in rates between the two departments (round off to three decimals) is:
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In a random sample of males, it was found that 21 write with their left hands and 210 do not. In a random sample of females, it was found that 56 write with their left hands and 440 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. -Find the 90% confidence interval
A random sample of 480 houses in San Fernando showed that 260 of them were owneroccupied, while a random sample of 400 houses in Port of Spain showed that 224 of them are owner-occupied. Compute an estimate for the 90% confidence interval for the difference between the proportions in the two areas that are owner-occupied.
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The 95% confidence interval between the difference in rates between the two departments (round off to four decimal places) is: A. [2.9782; 6.4218] B. [1.5083; 7.8917] C. [2.9782; 7.8917] D. [1.5083; 6.4218] E. None of the preceding
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suppose the Japanese Health Authority conducts a country wide survey to assess if men or women have the same likelihood of getting infected with COVID-19. A random sample of 590 men and 400 women were selected, and 50% of these men and 45% of these women were infected with COVID-19, respectively. What is the 91.98% confidence interval for the true difference in proportion of men and women who get infected with COVID-19.
The manager of a local fast-food restaurant is concerned about evil customers who ask for a free cup of water when placing an order, but then fill the cup with a soft drink from the beverage fountain! Themanager selects a random sample of 80 customers who asked for a water cup and found that 23 ofthose customers filled the cup with soda from the beverage fountain. Construct and interpret a 95%confidence interval for the proportion of all customers who, having asked for a cup of water whenplacing an order, will fill the cup with a soft drink from the beverage fountain. Be sure to go through theentire PANIC process.

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