Consider we are interested in the population average height µ of trees in a certain region. We are interested inestimating u with the sample mean Y. A sample of n = 60 tree heights were collected resulting in a sample average of57.34 feet and a sample standard deviation of 2.145 feet.a) Assuming the sample size is large enough for Y to be approximately normal, calculate a 99% confidence interval for uusing the sample data provided above.b) What sample size would be required if we were interested in producing an estimate Y within .25 of the parameter uwith 90% confidence?

Givensample size(n)=60Mean(x)=57.34 standard deviation(s)=2.145

Answered: Consider we are interested in the…

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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The pulse rates of 140 randomly selected adult males vary from a low of 45 bpm to a high of 121 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 99% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n= (Round up to the nearest whole number as needed.)
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:
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The pulse rates of 153 randomly selected adult males vary from a low of 35 bpm to a high of 99 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate ơ. n = (Round up to the nearest whole number as needed.) b. Assume that o = 12.3 bpm, based on the value s = 12.3 bpm from the sample of 153 male pulse rates. n = (Round up to the nearest whole number as needed.) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is the result from part (b). The result from is likely to be better because Enter your answer in each of the answer boxes. ? MacBook 乡 DII DD F12 000 000 80 F9 F10 F11 F6 F7 F8 esc F3 F4 F5 F1 F2 & ( ) ! @ # 2$ 2 3 4 5 7 8 9 1 { P W E R Y U [ + II
4. The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x = 19.50. If an experimenter wishes to use a "known" value o = 1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided confidence intervals for the average resilient modulus µ. Compare the lengths of the confidence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?
The pulse rates of 152 randomly selected adult males vary from a low of 40 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n3= (Round up to the nearest whole number as needed.)
The pulse rates of 167 randomly selected adult males vary from a low of 40 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 99% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate o. n = (Round up to the nearest whole number as needed.) b. Assume that o = 11.2 bpm, based on the value s = 11.2 bpm from the sample of 167 male pulse rates. n= (Round up to the nearest whole number as needed.) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is the result from part (b). The result from is likely to be better because
For question d, if appropriate, use the two proportions z interval procedure to find the specified confidence interval.

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