MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.arrow_forwardSuppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal placesarrow_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
- Suppose that the population standard deviation of a student's score is 20. Choose a sample size so that the resulting 95% confidence interval for the population mean score has a margin of error no larger than 5.arrow_forwardA simple random sample of size 23 has mean x̄ = 1.48 and standard deviation s = 1.32. The population is approximately normally distributed. Construct a 99% confidence interval for the population meanarrow_forwardAn agricultural researcher plants 14 plots with a new variety of corn. The average yield for these plots is X = 155 bushels per acre. Assume that the yield per acre for new variety of corn follows a normal distribution with unknown mean and a calculated sample standard deviation s = 10 bushels. A 90% confidence interval for the unknown mean isarrow_forward
- A ecologist wishes to estimate the mean lifespan for a specific species of bird. Assume that bird lifespan is normally distributed and that each bird's lifespan is independent of all others. The researcher analyzes a random sample of n=7 deceased birds to find out how long they lived for. It is found that the mean lifespan in the sample is y= 5 4 years with standard deviation s=13 years. Choose the correct formula for a 95% confidence interval for the true mean lifespan. X± to.975,n O xt to.975,n-1 n-1 O none of these X+ Z0.975 O x+ to.975,n-1' O xt to.975,n-15arrow_forwardA sample of 120 students yielded a sample mean GPA of 3.35, end a sample standard deviation equal to 0.28. Calculate the 95% confidence interval for the population mean GPA.arrow_forwardA random sample of 9 observations from a normally distributed population produced a mean x̅ =12.4 and a standard deviation s= 2.8. find a 99% confidence interval for the population mean?arrow_forward
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