10.Use technology to help you test the claim about the population mean,μ,at the given level of significance,α,using the given sample statistics. Assume the population is normally distributed. Claim:μ>1240;α=0.07;σ=204.96.Sample statistics:x=1259.42,n=300 Identify the null and alternative hypotheses. Choose the correct answer below. A.H0:μ≤1240Ha:μ>1240Your answer is correct. B.H0:μ≥1259.42Ha:μ<1259.42 C.H0:μ≥1240Ha:μ<1240 D.H0:μ>1240Ha:μ≤1240 E.H0:μ>1259.42Ha:μ≤1259.42 F.H0:μ≤1259.42Ha:μ>1259.42Calculate the standardized test statistic. The standardized test statistic is1.641.64.(Round to two decimal places as needed.)Determine the P-value. P=0.0510.051(Round to three decimal places as needed.)Determine the outcome and conclusion of the test. ▼ H0.At the7%significance level, there▼ isis notenough evidence to▼ supportrejectthe claim.

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Answered: Identify the null and alternative…

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

10.

Use technology to help you test the claim about the population mean,

μ,

at the given level of significance,

α,

using the given sample statistics. Assume the population is normally distributed.

Claim:

μ>1240;

α=0.07;

σ=204.96.

Sample statistics:

x=1259.42,

n=300

Identify the null and alternative hypotheses. Choose the correct answer below.

H0:

μ≤1240

Ha:

μ>1240

Your answer is correct.

H0:

μ≥1259.42

Ha:

μ<1259.42

H0:

μ≥1240

Ha:

μ<1240

H0:

μ>1240

Ha:

μ≤1240

H0:

μ>1259.42

Ha:

μ≤1259.42

H0:

μ≤1259.42

Ha:

μ>1259.42

Calculate the standardized test statistic.

The standardized test statistic is

1.641.64.

(Round to two decimal places as needed.)

Determine the P-value.

P=0.0510.051

(Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

▼

H0.

At the

significance level, there

▼

is not

enough evidence to

▼

support

reject

the claim.

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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