## Estimating a Population Mean with Margin of Error**Problem Description:**Assume that a sample is used to estimate a population mean (μ). Find the margin of error (M.E.) that corresponds to a sample size of 18 with a mean of 82.7 and a standard deviation of 21.7 at a confidence level of 99%.**Instructions:**- Report M.E. accurate to one decimal place because the sample statistics are presented with this accuracy. \( \text{M.E.} = \) [Input box]**Important Notes:**- The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

We have given that, Sample mean (x̄) = 82.7, sample size (n) = 18 and standard deviation (s) = 21.7…

Answered: Assume that a sample is used to…

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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When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of one hundred 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. To determine this, we test the following hypotheses: Ho: H= 120 versus H₂ μ< 120 Suppose the mean and standard deviation obtained were based on a sample of size 25 rather than 100.
to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 66 and a standard deviation of 10 . If only the top 13% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff score
The sample mean X is to be used to estimate the mean u of a normal distribution with standard deviation 4 inches. How large a sample should be taken in order chat, with 90% probability, the estimate will be in error by at most one-half inch?
The average labor charge for automobile mechanics is OMR 69 per hour. The standard deviation is OMR 18. Find the minimum percentage of data values that will fall within the range of OMR 68 to OMR 80. Use Chebyshev's theorem. SHOW ALL THE WORKINGS, FORMULA etc.
In Arkansas, bass fish were collected in 30 different lakes to measure the amount of mercury in the fish. The mean amount of mercury was = 0.6443 with standard deviation s = 0.3606. Estimate the mean amount of mercury in fish in Arkansas lakes using a 95% confidence level. Round your answers to three decimal places, and use four decimal places for any interim calculations. With 95 % confidence, it can said that the true mean amount of mercury in fish in Arkansas lakes is between 0.502 x and 0.786 X Hint: Make sure you round your answer to three decimal places.
The sample mean of depression scores of 16 fifth graders was 4.4 with standard deviation of 8. If the population mean of this depression score is 6, what is the calculated t score for this sample?
Calculate the estimated standard error for the case where the sample standard deviation is 25 and the sample size 137. Answer to three decimal places if necessary, you may round up or down.
The ponderal index is a measure of overall size similar to a body mass index. The ponderal index of full term newborns follows a normal distribution with a mean of 2.4 kg/m3 and a standard deviation of 0.45 kg/m³. What percentage of full term newborns have a ponderal index greater than 2.5 kg/m³? Use Table 3 to obtain your answer. If necessary, round your final answer to 2 places after the decimal. Do not enter the % symbol, just the number representing the percent.

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