The null and alternate hypotheses are: H0 : μ1 = μ2H1 : μ1 ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A random sample of 7 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.0. At the 0.10 significance level, is there a difference between the population means? State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) Compute the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) State your decision about the null hypothesis. multiple choice 1Reject H0.Do not reject H0. The p-value is multiple choice 2between 0.1 and 0.05less than 0.001between 0.02 and 0.05between 0.001 and 0.01between 0.1 and 0.2

The given data is as follows:The hypothesis Population 1Sample size, Sample mean, Sample standard…

Answered: The null and alternate hypotheses are:…

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

The null and alternate hypotheses are:

H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂

A random sample of 10 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.7. A random sample of 7 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.0.

At the 0.10 significance level, is there a difference between the population means?

State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

Compute the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

State your decision about the null hypothesis.

multiple choice 1

Reject H₀.
Do not reject H₀.

The p-value is

multiple choice 2

between 0.1 and 0.05
less than 0.001
between 0.02 and 0.05
between 0.001 and 0.01
between 0.1 and 0.2

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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