Contidence intervalthe populatIon mean: Usé óf thé ..A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 20 children selected at random and finds that theirmean attention span is 32 minutes with a standard deviation of 5 minutes. If we assume that attention spans are normally distributed, find a 95% confidenceinterval for the mean attention span of children playing with this new toy. Then find the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)Lower limit:IUpper limit:ExplanationCheck2021 McGraw-H Education Al Rights Reserved Terms of Uhe Pacy AccesbityMacBook AirescF4F3F2&2#$43456.QWETYSDFGCValtaltcommandoptoptioncommand

Confidence interval: It is defined as the range which contains the value of true population…

Answered: A toy manufacturer wants to see how…

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 of over 1000 parents on cyberbullying showed that a 95% confidence interval of proportion of kids who faced bullying in social media sites and apps is (0.122, 0.194). Find the point estimator of the population proportion of kids who faced bullying in social media sites and apps. Round your answer to three decimal places.
A paper published in the Journal of Dermatology and Venereology reported that nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow. The researcher has taken two samples in their study from a similar population. In the first sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. While in the second sample of 250 women with cosmetic dermatitis from using eye shadow, 25 were diagnosed with a nickel allergy. Compute a 95% confidence interval that is a closely related but simpler alternative to Wilson's Method for the first and the second samples for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. (i) (ii) Compare the two confidence intervals you compute in (i). (i) Suppose you are informed that the true proportion of women diagnosed with a nickel allergy is 0.12. Explain it refers to which group.
We have developed a new drug used to reduce fever and want to test its efficacy. Ten ER patients who are running a fever agree to take the new drug instead of the traditional treatment. Their temperatures are taken before the drug is administered and 30 minutes after taking the drug. The results are recorded in the Excel file below. Use the data to construct and interpret a 99% confidence interval for the mean change in temperatures of patients after taking this drug using Excel. Be sure to include any explanation necessary along with a sentence that explains what the interval means. First Temp Second Temp 100.1 98.9 101.3 99.1 102.1 99.2 102.7 99 101.9 98.7 100.8 98.6 103.1 99.4 102.5 99.2 103.5 100.1 101.7 99.2
A researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population. a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)
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A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the first midterm was u = 88 with standard deviation o = 10. One year, the teacher taught a %3D much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class was more effective and students performed better. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was = 78. The hypothesis should be: a. Ho: H = 78 vs. Ha: H = 88. %3D O b. Ho: µ = 88 vs. Ha: µ 78 %3D Ο d. Ho: μ-88 νs. Ha: μ >88. %3D
One scientist wondered if there was a difference in the average daily intake of dairy products between men and women. He took a sample of n1 = 50 adult men and n2 = 50 adult women and recorded their daily intake of dairy products in grams per day. A summary of the sample results is presented in the table. Construct a 95% confidence interval for the difference in the average daily intake of dairy products for men and women. Can it be concluded that there is a difference in the average daily intakes for men and women?
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life. Car Brand 1 Brand 2 1 36,925 34,318 2 45,300 42,280 3 36,256 35.548 4 32,100 31,950 5 37,210 38,015 6 48,360 47,800 7 38.200 37,810 8 33,500 33,215 Round your answer to 2 decimal places. Do not use commas.
QUESTION 4 Sara wants to determine the mean play time of media clips on her smartphone. A random sample of 36 media clips revealed a mean of 155 minutes and a standard deviation of 16 minutes. Find the upper confidence limit (UCL) of the 93% confidence interval estimate for the mean play time of media clips on Sara's smartphone. Round your answer to two decimal places.
One year, the mean age of an inmate on death row was 38.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.9, with a standard deviation of 9.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A Click the icon to view the table of critical t-values. Choose the correct hypotheses. Но (Type integers or decimals. Do not round.)
Helga is researching the IQ of a particular monkey species. She measured the IQ in 15 monkeys with a special monkey IQ test and it turned out to be 120 points on average. The standard deviation was 12 points. It can be assumed that the IQ follows a normal distribution. What is the upper limit of the 95% confidence interval for the average monkey species index?
A researcher collected sample data for 19 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 191.5, with a standard deviation of 6.5. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. lower limit ____ Upper Limit ____

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