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>1190;α=0.03;σ=208.36.Sample statistics:x=1222.94,n=200Identify the null and alternative hypotheses. Choose the correct answer below. A.H0:μ≤1190Ha:μ>1190 B.H0:μ≤1222.94Ha:μ>1222.94 C.H0:μ>1190Ha:μ≤1190 D.H0:μ≥1190Ha:μ<1190 E.H0:μ≥1222.94Ha:μ<1222.94 F.H0:μ>1222.94Ha:μ≤1222.94Calculate the standardized test statistic. The standardized test statistic isnothing.(Round to two decimal places as needed.)Determine the P-value. P=nothing(Round to three decimal places as needed.)Determine the outcome and conclusion of the test. ▼ RejectFail to rejectH0.At the3%significance level, there▼ is notisenough evidence to▼ supportrejectthe claim. Click to select your answer(s).

From the provided information, Sample size (n) = 200 Sample mean (x̅) = 1222.94 Population standard…

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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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>1190;

α=0.03;

σ=208.36.

Sample statistics:

x=1222.94,

n=200

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

H0:

μ≤1190

Ha:

μ>1190

H0:

μ≤1222.94

Ha:

μ>1222.94

H0:

μ>1190

Ha:

μ≤1190

H0:

μ≥1190

Ha:

μ<1190

H0:

μ≥1222.94

Ha:

μ<1222.94

H0:

μ>1222.94

Ha:

μ≤1222.94

Calculate the standardized test statistic.

The standardized test statistic is

nothing.

(Round to two decimal places as needed.)

Determine the P-value.

P=nothing

(Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

▼

Reject

Fail to reject

H0.

At the

significance level, there

▼

is not

enough evidence to

▼

support

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.

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