A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 11 children selected atrandom and finds that their mean attention span is 28 minutes with a standard deviation of 6 minutes. If we assume that attentionspans are normally distributed, find a 90% confidence interval for the mean attention span of children playing with this new toy.Then find the lower limit and upper limit of the 90% 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.)Lowerlimit:Upperlimit:

Given that; Sample size (n) = 11 Mean = 28 Sample standard deviation = 6 At 90 % confidence…

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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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 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 their mean attention span is 31 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) What is the lower limit of the confidence interval? What is the upper limit of the confidence interval? Aa
For each scenario, indicate whether the parameter of interest is one proportion , a difference in two proportions , one mean (μ), a difference in means from separate samples , or the mean difference from matched pairs data, . Each answer can be selected once, more than once, or not at all. A tire manufacturer tested the braking performance of one of its tire models on a test track, interested in how tires perform under both wet and dry pavement conditions. The company tried the tires on 18 different car models, recording the stopping distance for half of them on wet pavement and the other half of dry pavement. Student Computing Services surveys a random sample of students to compare the percent of students that have PCs to the percent of students that have Macs. Married couples are asked about the number of hours of sleep they get each night. We want to see if husbands get more sleep than their wives. 36 of 75 patients receiving a treatment experienced pain relief, while only…
A study wanted to compare the weight loss between two drugs. They sampled 60 people. 30 who took drug A and 30 who took drug B. With drug A the average weight loss was 15 pounds with a standard deviation of 8 pounds. With drug B the average weight loss was 18 pounds with a standard deviation of 9 pounds. Approximate the difference in weight loss (drug A - drug B). Enter the lower limit of a 90% confidence interval. (Rond to the nearest tenth).

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