A sample of 31 observations is selected from a normal population. The sample mean is 23, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 22H1: μ > 22 Is this a one- or two-tailed test? multiple choice 1One-tailed testTwo-tailed test What is the decision rule? multiple choice 2Reject H0 when z > 1.282Reject H0 when z ≤ 1.282 What is the value of the test statistic? (Round your answer to 2 decimal places.) What is your decision regarding H0? multiple choice 3Reject H0Fail to reject H0 e-1. What is the p-value? (Round your answer to 4 decimal places.) e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

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Description: A sample of 31 observations is selected from a normal population. The sample mean is 23, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level. H0: μ ≤ 22H1: μ > 22 Is this a one- or tw

1. The null and alternative hypothesis is obtained below: From the given information,…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A sample of 31 observations is selected from a normal population. The sample mean is 23, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.10 significance level.

H₀: μ ≤ 22

H₁: μ > 22

Is this a one- or two-tailed test?

multiple choice 1

One-tailed test
Two-tailed test

What is the decision rule?

multiple choice 2

Reject H₀ when z > 1.282
Reject H₀ when z ≤ 1.282

What is the value of the test statistic? (Round your answer to 2 decimal places.)

What is your decision regarding H₀?

multiple choice 3

Reject H₀
Fail to reject H₀

e-1. What is the p-value? (Round your answer to 4 decimal places.)

e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

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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