Suppose the mean height in inches of all 9th grade students at one high school isestimated. The population standard deviation is 2 inches. The heights of 6randomly selected students are 65, 75, 64, 65, 62 and 67.* = Ex: 12.34Margin of error at 99% confidence level = Ex: 1.2399% confidence interval = [Ex: 12.34 Ex: 12.34][smaller value, larger value]Check1Next2

From the provided information, Sample size (n) = 6 Population standard deviation (σ) = 2 inches…

Answered: Suppose the mean height in inches of…

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 restaurant knows that the weights of its quarter-pound hamburgers (before cooking) are normally distributed with a mean µ pounds and standard deviation of 0.02 pounds. A manager wants to infer about the population mean weight µ. To this end, he randomly selected 64 hamburgers and found the sample mean weight was x̅ = 0.242 pounds. Find a 90% confidence interval for µ.
A sample of twenty newborn elephants had a sample mean of 225 pounds and a sample standard deviation of 15 pounds. However, it is known that the standard deviation for the population (sigma) is actually 18 pounds. Construct a 90% confidence interval for the weight of newborn elephants. Lower_______pounds Upper_______pounds Is it best to use a Z-interval or a T-interval?
A restaurant knows that the weights of its quarter-pound hamburgers (before cooking) are normally distributed with mean μ pounds and standard deviation σ = 0.02 pounds. The manager wants to infer about the population mean weight μ. To this end, he randomly selected 64 hamburgers and found the sample mean weight was x̅ = 0.242 pounds. find a 90% confidence interval for μ.
Suppose we need to estimate the mean age of Douglas College students to a higher degree of precision than in the pilot study of Question 11. Using the pilot study’s value s = 3.2014 as our estimate of the population standard deviation σ, what is the sample size required to obtain a margin of error of 0.1 years, at the 95% confidence level?
The heights of 9 men were taken with sample mean of 165 cm and standard deviation 5 cm. The heights of 7 Japanese women were taken with sample mean of 150 cm and standard deviation 3 cm. Assuming that the population standard deviations for heights of men and women are both the same, construct the 95% confidence interval for the difference in mean heights between men and women.
In a study of morphological variation in natural populations of fruit fly, it was reported that the mean wing length of 16 females, collected in a certain area, was 4.653 mm with s = 0.012 mm; and the mean wing length of 11 females, collected in a second area, was 4.274 mm with s = 0.02. Let the distribution of the wing length be normal, find a 98% confidence interval on the ratio of the two populations’ standard deviations.
Suppose that shopping times for customers at a local mall are normally distributed with known population standard deviation of 20 minutes. A random sample of 64 shoppers in the local grocery store had a mean time of 75 minutes. Find the standard error, margin of error, and the upper and lower confidence limits of a 95% confidence interval for the population mean, µ.
A random sample of 20 acres gave a mean yield of sugarcane equal to 41.2 tons per acre with astandard deviation of 3 tons. Assuming that the yield of sugarcane per acre is normallydistributed,a. Construct a 90% confidence interval for the population mean.b. What is the margin of error for this estimate in part a?
Suppose it is known from experience that the standard deviation of the weight of 10-ounce packages of cookies is 0.20 ounces. To check whether the actual average is, on a given day, 10 ounces, employees select a random sample of 36 packages and find that their mean weight is 9.45 ounces. Provide a 99% confidence interval estimate of the mean weight.
According to the American Medical Association, the average annual of radiologists in the USA are $230,000 and those of surgeons are $225,000. Suppose that these means are based on random samples of 300 radiologists and 400 surgeons and that the population standard deviations of the annual earnings of radiologists and surgeons are $28,000 and $32,000 respectively. Determine whether there is a difference between the mean annual earnings of radiologists and surgeons with 97% confidence interval.

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