Answered: A sample of 10 observations taken from…

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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Question

A sample of 10 observations taken from a normally distributed population yielded the following data.

43 54 32 48 46 39 47 35 41 58

a. What is the point estimate of mean?

b. Find t for 95% confidence level

Round the answer to three decimal places.

c. Make a 95% confidence interval for mean.

Round answers to four decimal places.

___________ < mean < ______________

d. What is the margin of error of estimate for mean in part c?

Round the answer to four decimal places.

A sample of 10 observations taken from a normally distributed population yielded the following data.
43 54 32 48 46 39 47 35 41 58
Note: Use Table V in Appendix C to compute the probabilities.
(a) What is the point estimate of u?
i
44.3
(b) Find t for 95% confidence level.
t =
Round the answer to three decimal places.
(c) Make a 95% confidence interval for u.
Round the answers to four decimal places.
i
<µ< i
(d) What is the margin of error of estimate for uin part (c)?
Round the answer to four decimal places.
E =
i

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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