In a test of the hypothesisH0: μ=59versusHa: μ>59,a sample ofn=100observations possessed meanx=58.3and standard deviations=4.6.Find and interpret the p-value for this test. The p-value for this test isenter your response here. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.(Round to three decimal places as needed.) A.The probability (assuming thatHais true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis isenter your response here. B.The probability (assuming thatH0is true) of observing a value of the test statistic that is equal to the null hypothesis isenter your response here. C.The probability (assuming thatH0is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis isenter your response here.

Given that H0: μ=59vsHa: μ>59,n=100x=58.3s=4.6. and let alpha=0.05

Answered: a test of the hypothesis H0: μ=59…

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

100%

In a test of the hypothesis

H0: μ=59

versus

Ha: μ>59,

a sample of

n=100

observations possessed mean

x=58.3

and standard deviation

s=4.6.

Find and interpret the p-value for this test.

The p-value for this test is

enter your response here.

(Round to three decimal places as needed.)

Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.

(Round to three decimal places as needed.)

The probability (assuming that

is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is

enter your response here.

The probability (assuming that

is true) of observing a value of the test statistic that is equal to the null hypothesis is

enter your response here.

The probability (assuming that

is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is

enter your response here.

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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