Test the claim about the difference between two population means mu 1μ1 and mu 2μ2 at the level of significance alphaα. Assume the samples are random and independent, and the populations are normally distributed. Claim: mu 1μ1equals=mu 2μ2; alphaαequals=0.01 Population statistics: sigma 1σ1equals=3.3, sigma 2σ2equals=1.5 Sample statistics: x overbar 1x1equals=17, n1equals=29, x overbar 2x2equals=19, n2equals=28 Determine the alternative hypothesis. Upper H Subscript aHa: mu 1μ1 ▼ not equals≠ greater than or equals≥ less than or equals≤ greater than> less than< mu 2μ2 Determine the standardized test statistic. zequals=nothing (Round to two decimal places as needed.) Determine the P-value. P-valueequals=nothing (Round to three decimal places as needed.) What is the proper decision? A. Reject Upper H 0H0. There is enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Upper H 0H0. There is not enough evidence at the 1% level of significance to reject the claim. C. Fail to reject Upper H 0H0. There is enough evidence at the 1% level of significance to reject the claim. D. Reject Upper H 0H0. There is not enough evidence at the 1% level of significance to reject the claim.

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

Concept explainers

Question

Test the claim about the difference between two population means

mu 1μ1

and

mu 2μ2

at the level of significance

alphaα.

Assume the samples are random and independent, and the populations are normally distributed.

Claim:

mu 1μ1equals=mu 2μ2;

alphaαequals=0.01

Population statistics:

sigma 1σ1equals=3.3,

sigma 2σ2equals=1.5

Sample statistics:

x overbar 1x1equals=17,

n1equals=29,

x overbar 2x2equals=19,

n2equals=28

Determine the alternative hypothesis.

Upper H Subscript aHa:

mu 1μ1

▼

not equals≠

greater than or equals≥

less than or equals≤

greater than>

less than<

mu 2μ2

Determine the standardized test statistic.

zequals=nothing

(Round to two decimal places as needed.)

Determine the P-value.

P-valueequals=nothing

(Round to three decimal places as needed.)

What is the proper decision?

Reject

Upper H 0H0.

There is enough evidence at the

level of significance to reject the claim.

Fail to reject

Upper H 0H0.

There is not enough evidence at the

level of significance to reject the claim.

Fail to reject

Upper H 0H0.

There is enough evidence at the

level of significance to reject the claim.

Reject

Upper H 0H0.

There is not enough evidence at the

level of significance to reject the claim.

Click to select your answer(s).

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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