You wish to test the following claim (Ha) at a significance level of a = 0.01. Ha:µ1 > H2 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 n1 = 25 with a mean of M1 = 56.2 and a standard deviation of SD1 = i3.4 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 = 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-estinmate 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 greater than a This test statistic leads to a decision to... Oreject the null accept the null O fail to reject the null

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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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
Transcribed Image Text: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
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