Refer to the following scenario.An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriatelyacross the city. She takes a simple random sample of 331 people living in East Vancouver and finds that 40 have recently had the flu.Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this?Sample size =

To find the sample size required for estimating the population proportion with a 95% confidence…

Answered: Refer to the following scenario. An…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
1. In a study of perception, 110 men are tested and 24 are found to have red/green color blindness (based on data from USA Today). Assume that this was done in a simple random manner. A 95% confidence interval estimate of the proportion of all men with red/green color blindness was found to be 0.14 to 0.30. If we learn that the actual population proportion of men with red/green colorblindness is equal to 0.12, then what can we conclude? A. The confidence interval was wrong. B. We would need to see the sample data to make any conclusions Pick either answer A or B as your answer and show your work to go with it
Consider the following problem where we work for an oil company that looks for oil in geographic formations that are favorable to the formation of oil. Find the expected value for barrels of oil in problem A and then find the variance and standard deviation. For B, find the mean, variance, and standard deviation using formulas. For variance and standard deviation, use the population formulas. Compare A and B, and what do you observe? Problem A Problem B Problem. A Oil (barrel) Odds Problem. B Oil (barrel) · Odds 2 25% · 2 · 25% 4 25% · 4 · 25% 4 25% · 4 · 25% 2 25% · 6 · 25%
6. You buy a package of 122 Smarties and 19 of them are red. What is a 95% confidence interval for the true proportion of red Smarties? (0.092, 0.220) (0.103, 0.230) (0.085, 0.199) (0.109.0.210) A. B. C. D.
You want to know about the mean price of gas per gallon in all gas stations in Indiana. You are going to select 30 random gas stations from Indiana to estimate it. From now on, suppose that you do not know the population standard deviation. Therefore, you instead calculated the sample standard deviation, and it was $0.85. What is the margin of error for a 95% confidence interval for the population mean price of gas per gallon? Using the sample standard deviation value from Question 19 ($0.85), what is the 95% confidence interval if the sample mean price is $3.15? Do you think that the confidence interval will change if you knew that there are 1200 number of gas stations in total in Indiana? What is the reason?
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
The average income of a large sample of households is $63,000 and the s.d. is $7,000. Assume that the data is approximately bell-shaped. What percent of these households have incomes between $42,000 and $77,000? Don’t forget to properly justify your answer using the empirical rule.
A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.07 . A consultant has informed them that a previous study found the mean to be 3.6 energy drinks per week and found the variance to be 1.44 . What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
a researcher wishes to develop an interval estimate for response scores on user surveys. She's not sure about the standard deviation, but in previous years the scores have ranged from 25 to 86. How large a sample should she draw if she wants to construct a 95% confidence interval level that will be within 3 points of the population mean score?
Suppose a sample of 9 customers spends an average of $200 with a standard deviation $20 what is a 95% confidence interval for the sample mean. Use the fact that 95% of sample means are within 2.306 standard errors of the sample mean.

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