4. Suppose that the distribution of height of female students inUniversity is normally distributed with mean =1.6 meters and o = 0.02meters. A sample of 100 female students drawn randomly from all thefemale students in University had an average height of 1.61 meters.(1) In this case, what are the population and sample, respectively?(2) Give the point estimate of the population mean.(3) Establish a 95 percent confidence interval for the population meanheight (= 1.6)(4) Are the population mean and variance random variables? Why? Arethe sample mean and variance random variables? Why?5. Give the definition of t-, F-, and x²-distribution.

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Answered: 4. Suppose that the distribution 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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Suppose that head circumferences of adult men have a bell-shaped distribution with mean = 54 cm and standard deviation = 3 cm. (Use the Empirical Rule.) (a) What is the head circumference (in cm) such that only 2.5% of adult men have a smaller head circumference? cm (b) What is the head circumference (in cm) such that only 2.5% of adult men have a larger head circumference? cm (c) What is the head circumference (in cm) such that only 16% of adult men have a larger head circumference? cm
Q.3/ Assume that the following five numbers are sampled from a normal distribution: 2, 3, 5, 6 and 9 and the standard deviation is not known. Compute the 95% confidence interval.
suppose the mean scores of a random sample of 230 bread loafs which there are 125 guests attending. If the standard deviation of the given guests attending is 20.3 and its sample comes from an approxiamtely normal population, find the point and interval estimate of the population mean and apply the normal curve concept in computing the interval estimate. use 98% confidence level
A sample of size 50 from a normal distribution has sample mean 5 and sample variance 20. Find 96% confidence intervals for the variance and standard deviation of the distribution.
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 10 randomly selected students are 68, 62, 68, 75, 71, 60, 69, 62, 69 and 70. x¯ = Margin of error at 95% confidence level = 95% confidence interval = [
Suppose the number of off springs a female eagle raises during its lifetime has a distribution with mean 15 and variance 4. In an area, 45 rescued and cured female eagles are set free. If these eagles are assumed to be independent (no lack of male partners and food resources), the total number of off-springs produced by these eagles can be assumed to have a Normal distribution with mean and variance
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 6 randomly selected students are 69, 62, 68, 64, 61 and 68. x¯ = Margin of error at 99% confidence level = 99% confidence interval = [ , ]
14.) A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 146 adult female American alligators from the Everglades was found to be 217 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 16 pounds.Using a 96% confidence level, determine the margin of error, EE, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E= ___A 96% confidence interval is given by ___
Calculate the point estimate.
If the sample mean is 8, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test.

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