A survey of 100 businesses revealed that the mean after-tax profit was $80,000 and the standard deviation was $12,000.Determine the 99% confidence interval estimate of the mean after-tax profit.a. [77060, 82940]b. [76904, 83096]c. [76130, 83870]d. [77540, 82460]OOe. [78032, 81968]

We have given thatsample size (n) = 100sample mean () = 80000Standard deviations () =…

Answered: A survey of 100 businesses revealed…

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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An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounce Suppose the standard deviation is known to bes = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean m. Based on the 25 recent birth records, the sampling distribution of the sample mean x can be represented by: a. N(119.6, 1.30). b. N(119.6, 6.5). O c. N(m, 1.30). O d. N(m, 6.5).
The correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?
Suppose an interval estimate for the population mean was 62.84 to 69.46. The population standard deviation was assumed to be 6.50, and a sample of 100 observations was used. The mean of the sample was:
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
The standard deviation of a population A. Is the average of the squared deviations between each of the data points and the mean B. Is the average distance from each of the data points to the population's mean C. Is impossible to calculate D. Is only for statisticians E. All of the above F. None of the above

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A survey of 100 businesses revealed that the mean after-tax profit was $80,000 and the standard deviation was $12,000. Determine the 99% confidence interval estimate of the mean after-tax profit. a. [77060, 82940] b. [76904, 83096] Oc. [76130, 83870] d. [77540, 82460] e. [78032, 81968]