MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In a random sample of 23 people, the mean commute time to work was 34.9 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean u. What is the margin of error of u? Interpret the results. The confidence interval for the population mean p is ( ). (Round to one decimal place as needed.)arrow_forwardA veterinarian wants to estimate the mean weight of a cat in their city. They take a random sample of 19 cats and found a mean of 10.9 lbs with a sample standard deviation of 1 lbs. Find the 95% confidence interval of the mean. Assume that the cat weights are normally distributed. Do not round in between steps. Round answers to at least 4 decimal places.arrow_forwardA sample size of 100 from a population having a standard deviation =8 produced a mean of 40. The 99% confidence interval for the population mean (rounded to two decimals) is:arrow_forward
- A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their schoolarrow_forwardThe distribution of study times for first year students follows a Normal distribution with standard deviation σσ = 54 minutes. Suppose a sample of 487 students found that the mean study time for these students was x¯x¯= 173 minutes per week. Use this to find a 88.28% confidence interval to estimate the mean study time for all students. We are 88.28% confident that the mean study time for first year students is between minutes_____ and ____ minutes. What is the margin of error for your confidence interval?arrow_forwardes A sample of 12 fossil skeletons of an extinct species of bird has been collected. The mean length of the skulls in this sample is 5.29 cm and the standard deviation of the sample is 0.21 cm. Assuming that such measurements are normally distributed, find a 90% confidence interval for the population mean length of the skulls of this species of bird. You may want to use one of these: qt (p-0.10, df-11, lower. tail-FALSE)=1.36343 qt(p-0.05, df-11, lower.tail-FALSE) =1.795885 qnorm(0.10, mean-0, sd-1, lower.tail-FALSE)=1.281552 qnorm(0.05, mean-0, sd-1, lower.tail=FALSE)=1.644854 O (4.945, 5.635) O (4.913, 5.667) O (5.021, 5.559) O (5.181, 5.399)arrow_forward
- In a random sample of seven cell phones, the mean full retail price was $414.50 and the standard deviation was $171.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.arrow_forwardCreate a 85% confidence interval for a population mean from a sample of size 65 with sample mean a = 11.7. The population standard deviation is known to be o = %3D 3.28. [three decimal accuracy] [three decimal accuracy]arrow_forwardIn a random sample of 17 people, the mean commute time to work was 30.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t- distribution to construct a 95% confidence interval for the population mean y. What is the margin of error of y? Interpret the results.arrow_forward
- In a random sample of ten cell phones, the mean full retail price was $433.00 and the standard deviation was $208.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.arrow_forwardYou are going to create a 99% confidence interval for the mean amount ofsugar in coffee shop specialty drinks. You know the population standarddeviation is σ = 5.9 grams. You want your confidence interval to have amargin of error of 0.25 grams. How big should your sample size be to obtainthis margin of error?arrow_forwardIn a random sample of 27 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is ,. (Round to one decimal place as needed.) The margin of error of μ is nothing. (Round to one decimal place as needed.) Interpret the results. A. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. B. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval. C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. D. It can be said that 98% of people have a commute…arrow_forward
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