Problem 1. An ethologist is interested in determining the average weight of adult Olympicmarmots. It would be expensive and impractical to trap and measure the whole population, so arandom sample of 16 adults is trapped and weighed. The sample has a mean of 7.3 kg and astandard deviation of 0.48 kg. It is known from past studies that the population distribution isapproximately normal. Construct a 95% confidence interval for the population mean.a. What is the sampling distribution of the sample means? Is the sample size large enough to statethe conclusion, or does it matter?b. What is the standard deviation of the sampling distribution, or the standard error of the samplemeans?c. What is the critical value, ta?d. Calculate the lower limit and upper limits of the 95% confidence interval and interpret yourconfidence interval.

Answered: Image /qna-images/answer/db7ef6ce-2bbb-4370-bea9-e3f280519633.jpg

Answered: Problem 1. An ethologist is interested…

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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Question 1. Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the average amount of time individuals waste at the courthouse waiting to be called for service. The committee randomly surveyed 81 people. The sample average was 8 hours with a sample standard deviation of 4 hours. (a) Construct a 95% confidence interval for the population average time wasted and write the interpretation (Sketch the graph). (b) Which distribution you used for this problem? Explain your choice.
Question 3 A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 41 cables and apply weights to each of them until they break. The 41 cables have a mean breaking weight of 772.3 lb. The standard deviation of the breaking weight for the sample is 15.3 lb. Find the 95% confidence interval to estimate the mean breaking weight for this type cable. ( ) Your answer should be to 2 decimal places.
chapter 10 problem 16, I need help with the last part of this problem. thanks
Please answer questions 1, 2 & 3 . Thank you!
1. The heights ( in inches) of the students on a campus are assumed to have a normal distribution with a standard deviation of 4 inches. A random sample of 49 students was taken with M=68 inches. The 95% confidence interval for the population mean is:
Question 1: You measure 29 randomly selected textbooks' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 7.5 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.Give your answers as decimals, to two places
Question 3: The waiting times (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 3.6 minutes. Assume the sample is from a normally distributed population. Use a 98% level of confidence to construct the confidence intervals for (a) the population variance and (b) the population standard deviation. Interpret the results.
QUESTION 17 Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the resting pulse rates of people who exercise regularly and the pulse rates of people who do not exercise regularly. She obtained independent simple random samples of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rates (in beats per minute) were recorded and the summary statistics are as follows. Do not exercise regularly Exercise regularly x1 = 723 beats/min x2 = 68.1 beats/min %3D s1 = 10.9 beats/min s2 = 8.2 beats/min ni = 16 n2 = 12 Construct a 95% confidence interval for mu1 - mu2, the difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who…
. Buck randomly selects 38 basketball shoes from the Shoe Warehouse and finds the mean prie to be $66.88 with a standard deviation of $5.62. Construct a 99% confidence interval for the population standard deviation o, and find the x2 values used in the calculation. A. ($4.31, $7.93) with xỉ = 18.586 and x = 62.833 B. ($4.27, $7.78) with xỉ = 19.286 and xỉ = 64.181 C. ($1.82, $3.34) with xỉ = 18.586 and x = 62.833 D. ($4.27, $7.78) with xỉ = 19.960 and xi = 59.893 E. ($18.58, $62.88) with xỉ = 18.586 and x = 62.833 %3D %3D reject
pbm 23
Question 19 A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimetres) are as follows: 8.24 8.25 8.20 8.23 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24 Construct a 95% confidence interval on variance rod diameter. A. (0.0003 , 0.0016) B. (0.0136 , 0.0629) C. (0.0003 , 0.0014) D. (0.0129 , 0.0566)

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