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>1290;α=0.05;σ=206.11.Sample statistics:x=1305.71,n=250 Identify the null and alternative hypotheses. Choose the correct answer below. A.H0:μ≤1290Ha:μ>1290 B.H0:μ>1290Ha:μ≤1290 C.H0:μ≥1290Ha:μ<1290 D.H0:μ>1305.71Ha:μ≤1305.71 E.H0:μ≤1305.71Ha:μ>1305.71 F.H0:μ≥1305.71Ha:μ<1305.71Calculate the standardized test statistic. The standardized test statistic isenter your response here.(Round to two decimal places as needed.)Determine the P-value. P=enter your response here(Round to three decimal places as needed.)Determine the outcome and conclusion of the test. ▼ Fail to rejectRejectH0.At the5%significance level, there▼ isis notenough evidence to▼ supportrejectthe claim.

GivenMean(x)=1305.71standard deviation(σ)=206.11sample size(n)=250α=0.05

Answered: Use technology to help you test the…

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

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>1290;

α=0.05;

σ=206.11.

Sample statistics:

x=1305.71,

n=250

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

H0:

μ≤1290

Ha:

μ>1290

H0:

μ>1290

Ha:

μ≤1290

H0:

μ≥1290

Ha:

μ<1290

H0:

μ>1305.71

Ha:

μ≤1305.71

H0:

μ≤1305.71

Ha:

μ>1305.71

H0:

μ≥1305.71

Ha:

μ<1305.71

Calculate the standardized test statistic.

The standardized test statistic is

enter your response here.

(Round to two decimal places as needed.)

Determine the P-value.

P=enter your response here

(Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

▼

Fail to reject

Reject

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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