Answered: Test a claim that the mean amount of…

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) Identify the claim and state

and

Ha.

H0:	▼ sigma squaredσ2 pp muμ sigmaσ ▼ greater than or equals≥ greater than> not equals≠ equals= less than or equals≤ less than< enter your response here
Ha:	▼ sigma squaredσ2 sigmaσ muμ pp ▼ greater than> less than< greater than or equals≥ less than or equals≤ not equals≠ equals= enter your response here

(Type integers or decimals. Do not round.)

The claim is the

▼

alternative

null

hypothesis.

Part 2

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is/are

t0=enter your response here.

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

Part 3

Choose the graph which shows the rejection region.

0 -44t

−t0

t<−t0, t>t0

A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.

-4 0 4 t

t<t0

A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded.

0 -44t

−t0

−t0<t<t0

A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.

-4 0 4 t

t>t0

A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded.

Part 4

The standardized test statistic is

t=enter your response here.

(Round to two decimal places as needed.)

Part 5

(d) Decide whether to reject or fail to reject the null hypothesis.

▼

Reject

Fail to reject

because the standardized test statistic

▼

is not

in the rejection region.

Part 6

(e) Interpret the decision in the context of the original claim.

There

▼

is not

enough evidence at the

enter your response here%

level of significance to

▼

rejectreject

supportsupport

the claim that the mean amount of lead in the air in U.S. cities is

▼

less than

equal

greater than

greater than or equal

not equal

less than or equal

enter your response here

microgram per cubic meter.

(Type integers or decimals. Do not round.)

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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