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=202.36.Sample statistics:x=1324.23,n=200Identify the null and alternative hypotheses. Choose the correct answer below.A.H0:μ≤1290Ha:μ>1290B.H0:μ>1324.23Ha:μ≤1324.23C.H0:μ>1290Ha:μ≤1290D.H0:μ≥1324.23Ha:μ<1324.23E.H0:μ≥1290Ha:μ<1290F.H0:μ≤1324.23Ha:μ> Calculate the standardized test statistic.The standardized test statistic is ________(Round to two decimal places as needed.)Determine the P-value.P=____________________________________(Round to three decimal places as needed.)Determine the outcome and conclusion of the test.(Fail or reject Reject) H0. At the 5% significance level, there____(is or is not)enough evidence to ____(reject or support) the claim.

Name: Use technology to help you test the claim about the population mean,μ
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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≤1290;α=0.05;σ=202.36.Sample statistics:x=13

We have given that Sample size=n=200 Xbar=1324.23 Sigma=202.36 Alpha=0.05

Answered: μ≥1290 Ha: μ<1290 F. H0:…

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≤1290;

α=0.05;

σ=202.36.

Sample statistics:

x=1324.23,

n=200

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

H0:

μ≤1290

Ha:

μ>1290

H0:

μ>1324.23

Ha:

μ≤1324.23

H0:

μ>1290

Ha:

μ≤1290

H0:

μ≥1324.23

Ha:

μ<1324.23

H0:

μ≥1290

Ha:

μ<1290

H0:

μ≤1324.23

Ha:

μ>

Calculate the standardized test statistic.

The standardized test statistic is ________

(Round to two decimal places as needed.)

Determine the P-value.

P=____________________________________

(Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

(Fail or reject Reject) H0. At the 5% significance level, there____(is or is not)

enough evidence to ____(reject or support) the claim.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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