Answered: Use technology to help you test the…

Name: Use technology to help you test the claim about the population mean,
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Description: 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≤1220; α=0.06; σ=212.99. Sample statistics

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≤1220; α=0.06; σ=212.99. Sample statistics: x=1249.79, n=200

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

(See image option A-F)

I will need to calculate the standardized test statistic.

The standardized test statistic is [ ] (round to two decimal places as needed.)

determine the P-value

Determine the P-value.

P = [ ] (Round to three decimal places as needed.)

Then determine the outcome and conclusion of the test.

[Reject/Fail] to reject H0. At the 6% significance level, there [is not/is] enough evidence to [reject/support] the claim.

(This is a multi-part question, in order to determine the P-value, the standardized test statistic and null/alternative hypotheses is needed a given answer)

Ο Α. Ηo: μs 1220
Ο Β. Ho μ2 1220
Ha: H< 1220
H3: u> 1220
OC. Ho: µ2 1249.79
Ha: u< 1249.79
O D. Ho: µ> 1220
H3: us 1220
O E. Ho: µ> 1249.79
O F. Ho: us 1249.79
H3: us 1249.79
Ha: u> 1249.79

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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