As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.The sample data support the claim that the first population mean is greater than the second population mean.There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean. You wish to test the following claim (Ha) at a significance level of a0.01.Ho:H1 = 42Ha:µ1 > P2You believe both populations are normally distributed, but you do not know the standard deviations foreither. However, you also have no reason to believe the variances of the two populations are not equal. Youobtain a sample of size ni = 25 with a mean of M1from the first population. You obtain a sample of size n2 = 20 with a mean of M2 = 53.9 and a standarddeviation of SD256.2 and a standard deviation of SD, = 13.412.5 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? For this calculation, use the conservative under-estimate for thedegrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)p-value =The p-value is...O less than (or equal to) aO greater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the null

Name: As such, the final conclusion is that...There is sufficient evidence t
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Description: As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.There is not sufficient evidence to warrant rejection of the claim that t

GivenFor first population:n1=25M1=56.2SD1=13.4For second…

Answered: You wish to test the following claim…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
The sample data support the claim that the first population mean is greater than the second population mean.
There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

You wish to test the following claim (Ha) at a significance level of a
0.01.
Ho:H1 = 42
Ha:µ1 > P2
You believe both populations are normally distributed, but you do not know the standard deviations for
either. However, you also have no reason to believe the variances of the two populations are not equal. You
obtain a sample of size ni = 25 with a mean of M1
from the first population. You obtain a sample of size n2 = 20 with a mean of M2 = 53.9 and a standard
deviation of SD2
56.2 and a standard deviation of SD, = 13.4
12.5 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the
degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null

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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