MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
An incubation period is a time between when you contract a virus and when your symptoms start. By surveying randomly selected local hospitals, a researcher was able to obtain a sample of incubation periods of 19 patients, and the sample average was found to be 5.34 days. Assume that the population standard deviation is 1.7 days. Construct a 98% confidence interval for the average incubation period of the novel coronavirus. You may also assume that the sample is from a normal population.
- Margin of error (if applicable): (Round the answer to 2 decimal places)
- Lower bound: (Round the answer to 2 decimal places)
- Upper bound: (Round the answer to 2 decimal places)
SAVE
AI-Generated Solution
info
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
to generate a solution
Click the button to generate
a solution
a solution
Knowledge Booster
Similar questions
- You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 19 shift registers, and you record the following shut- down temperatures. Construct a 90% confidence interval for the overall mean shutdown-temperature. 175 174.66 175.44 174.34 174.91 174.79 174.82 175.52 174.99 174.99 175.23 175.15 175.11 175 175.43 174.85 174.74 174.9 175.48 (Checksum: 3325.35) a) Find the critical value and o. Critical Value: b) Find the confidence interval: 100% " 70°F Cloudyarrow_forwardA marketing study with a random sample of 400 results in 160 subjects reacting positively to the proposed product. Determine the 95% confidence interval for the population proportion.arrow_forwardHealth insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in Canada is 4.6 days. A random sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7 days. Assume that the sampled population is approximately normal. You are to construct a 95% confidence interval to see if the population mean of 4.6 days is true. Answer the followings: a. What is/are the critical value(s)? b. What is the margin of error? c. Identify the 95% confidence interval for the mean. d. Interpret the interval in terms of this application. Circle the letter of the correct answer below. A. The state can be 95% confident that its mean LOS is within this interval. B. The state can be 5% confident that its mean LOS is within this interval. C. The state can be 95% confident that its mean LOS is outside this interval. D. The state can be 95% confident that its mean LOS is 3.8 days.…arrow_forward
- A study is conducted to find the mean life of a certain manufacturer's car batteries. A random sample of 34 batteries is selected and a mean of 47.5 months with a standard deviation of 7.3 months is found. Find a 95% confidence interval for the mean battery life.arrow_forwardA company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model Old Model 215 234 202 298 224 294 211 246 215 268 248 211 255 226 228 284 247 221 214 259arrow_forwardThe newest model of a car battery from a popular brand is supposed to have a lifetime of 60 months, but the lifetime varies slightly from battery to battery. It is known that the population of all lifetimes (in months) of this model of car battery is approximately normally distributed. You are a product reviewer who wants to estimate the standard deviation for this population with a random sample of 22 car batteries. Follow the steps below to construct a 99% confidence interval for the population standard deviation of all lifetimes of this model of car battery. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from the random sample. Take Sample Number of carbatteries Sample mean Sample standard deviation Sample variance 22 57.16 0.38 0.1444 To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter…arrow_forward
- You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut- down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 174.99 174.76 174.99 174.61 174.86 174.41 175.54 174.13 174.96 174.78 174.84 174.67 174.87 175.52 174.88 175.35 (Checksum: 2798.16) a) Find the critical value and ₂. Critical Value: σz: b) Find the confidence interval:arrow_forwardThe newest model of a car battery from a popular brand is supposed to have a lifetime of 60 months, but the lifetime varies slightly from battery to battery. It is known that the population of all lifetimes (in months) of this model of car battery is approximately normally distributed. You are a product reviewer who wants to estimate the standard deviation for this population with a random sample of 22 car batteries. Follow the steps below to construct a 99% confidence interval for the population standard deviation of all lifetimes of this model of car battery. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from the random sample. Take Sample Number of carbatteries Sample mean Sample standard deviation Sample variance To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter the values…arrow_forwardA study was conducted to estimate hospital costs for car accident victims who woreseat belts. Suppose that 46 randomly selected cases had an average of $15150and a standard deviation of $8500. If the average hospital costs for those that didnot wear seatbelts was $19000, construct a 90% confidence interval to see if theaverage costs are significantly different.arrow_forward
- A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model 246 240 272 262 237 250 247 235 261 216 Old Model 293 232 299 279 239 228 256 292 272 298arrow_forwardAn environmental health officer has been asked about levels of radon in homes in a particular county. As an initial step to forming a response to this inquiry, the officer plans to randomly select 20 homes in the county. The level of radon in each of the 20 homes will be measured, and the sample mean, x̅, and the sample standard deviation, s, will be calculated. Using these values, a 90% confidence interval will be constructed for the mean radon level for all homes in the county. Which of the following is the correct value of "t" for forming a confidence interval? a) 1.645 b) 1.328 c) 1.325 d) 1.725 e) 1.729arrow_forwardFrom a random sample of 48 days in a recent year, U.S. gasoline prices had a mean of $2.34 and a standard deviation of $0.32. Construct a 95% confidence interval for the population meanarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman