Answered: Software companies work hard to produce…

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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Software companies work hard to produce software that does not have bugs in it. The average number of bugs found in a new software program at its inception is 21.5 with a standard deviation of 3 bugs. A random sample of size 55 software programs showed an average of 23 bugs.

(a) Determine the mean (in bugs) of the sampling distribution of the sample mean for samples of size 55.

bugs

(b) Calculate the standard deviation (in bugs) of the sampling distribution of the sample mean of samples of size 55. (Round your answer to three decimal places.)

bugs

(c) The shape of the sampling distribution of the sample mean is approximately normal. Which of the following choices justifies that statement?

a. We have sampled less than 10% of the population.

b. The sample size is 30 or more.

c. A random sample was taken.

d. The population is approximately normally distributed.

(d)What is the probability that in a random sample of size 55 software programs, the company would find an average of 23 or more bugs? (Use a table or SALT. Round your answer to four decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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