Answered: Assuming 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

See similar textbooks

Related questions

Topic Video

Question

Assuming that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample size 7 with a mean of 39.8 and a standard deviation of 21.9 at a confidence level of 90%.

Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. =

Expert Solution

Step 1

From the given information,

Sample size n =7

Sample mean, x̅=39.8

Sample standard deviation, s=21.9

Confidence level = 90%

Degrees of freedom: 6 (=7-1).

Using Excel function, “=T.INV.2T(0.10,6)”, the critical value for two-tailed test at 90% confidence level is ±1.9432.

The standard error is:

$\begin{array}{rcl} S E & = & \frac{s}{\sqrt{n}} \\ = & \frac{21.9}{\sqrt{7}} \\ = & 8.2774 \end{array}$

Step by step

Solved in 2 steps

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions