Many medical professionals believe that smoking increases the risk of heartdisease and cancer. A medical researcher would like to conduct a survey to determine themonthly consumption of cigarettes by a typical consumer (i.e., to estimate the averagemonthly consumption of smokers). Her research budget is $2,000 and the cost ofcollecting an observation is $10. Her target is to find a 90% confidence interval estimatewith a range of 3 cigarettes. If the population standard deviation is 12 cigarettes, is herbudget sufficient for conducting such a survey to achieve her target? Explain.5.

From the given information, it is obtained that: σ (population standard deviation)=12Confidence…

Answered: Many medical professionals believe that…

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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You are a researcher studying a certain species of fish in a local lake. You gather a random sample of 19 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all fish of this type in the lake. Use a 99% confidence level. 9.1 9 8.6 5.8 9.8 7.4 9.1 9.5 8.2 8.9 9.3 7.8 9 9.6 10.4 13.6 7.2 10.1 8.9 a) Find the confidence interval: b) What is the margin of error of your interval? c) Interpret your 99% confidence interval in context
The Statistics Games are played by a large number of teams across the county. Teams raise money to cover expenses incurred by participating. You want to estimate the mean amount of money raised by teams. You take a random sample of 36 teams and find a mean of $375, with a standard deviation of $32. What critical value should you use for a 95% confidence interval?
Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50. He then takes a random sample of 25 tests and finds that the average of these is 200. Prof. Gersch wishes to make a 95% confidence interval for the average of all the grades.What is the upper end of the confidence interval? a. 220 b. 300 c. 298 d. 225.8 e. 329 f. 219.6
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable
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.
According to recent data by the American Marketing Association, 76.5%of people in the 18-24 age group used social media in 2017. You want to find out what the social media proportion is among your classmates who are all between 18 and 24 years old. Suppose you obtain a random sample of 229 students and find that 202 students in this sample are active social media users. Complete parts a through c below. a. Construct a 99% confidence interval to estimate the actual proportion of social media users. A 99% confidence interval to estimate the actual proportion has a lower limit of------ and an upper limit of------- (Round to three decimal places as needed.) b. What is the margin of error for this sample? c. Is there evidence that this proportion matches that of the overall population based on the sample?
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
We would like to create a confidence interval for the mean. Which of the following would produce the smallest margin of error? Select one: a.A 95% confidence level and a sample size of 150 subjects b. A 99% confidence level and a sample size of 600 subjects. c. A 99% confidence level and a sample size of 150 subjects. d.A 95% confidence level and a sample size of 600 subjects.
A survey of 32,782 adults in 2004 indicated that 24.6% of adults were current smokers. A similar study conducted in 1995 of 40,000 adults indicated that 29.7% were current smokers. a. Find and interpret a point estimate of the difference between the proportion of current smokers in 1995, and the proportion of current smokers in 2004. b. A 95% confidence interval for the true difference is (-0.058,-0.045). Interpret. c. What assumptions must you make for the confidence interval i part b to be valid? (…) a. Find a point estimate of the difference between the proportion of current smokers in 1995 and the proportion of current smokers in 2004. (Round to three decimal places as needed.)
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?
A random sample of 64 shoppers showed that they spend an average of $27.31 per visit at the Sunday Mornings Bookstore. The standard deviation of the population is $2.14. Find the 90% confidence interval of the true mean. Please include all work showing how you found your answer.
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. E Tables E Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of…

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