Answered: To test H0: μ=100 versus H1: μ≠100,…

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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Part 1

(a) If

x=104.6

and

s=8.8,

compute the test statistic.

t=enter your response here

(Round to three decimal places as needed.)

Part 2

(b) If the researcher decides to test this hypothesis at the

α=0.01

level of significance, determine the critical values.

The critical values are

enter your response here.

(Use a comma to separate answers as needed. Round to three decimal places as needed.)

Part 3

(c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution?

A symmetric bell-shaped curve is plotted over a horizontal axis. Two vertical lines, equidistant from the curve's peak at the center, extend from the axis to the curve on the far left and right sides of the graph. The areas under the curve to the left of the left vertical line and to the right of the right vertical line are shaded.

A symmetric bell-shaped curve is plotted over a horizontal axis. On the far left side of the graph, a vertical line runs from the axis to the curve. The area under the curve to the left of the vertical line is shaded.

A symmetric bell-shaped curve is plotted over a horizontal axis. On the far right side of the graph, a vertical line runs from the axis to the curve. The area under the curve to the right of the vertical line is shaded.

Part 4

(d) Will the researcher reject the null hypothesis?

There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.

The researcher will reject the null hypothesis since the test statistic is between the critical values.

There is not sufficient evidence for the researcher to

reject the null hypothesis since the test statistic

is between

the critical values.

The researcher will

reject the null hypothesis since the test statistic

is not between

the critical values.

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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