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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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>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).

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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