You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ1 = µ2 Ha:µ1 < µ2 You obtain a sample of size n1 = 58 with a mean of M1 = 87.8 and a standard deviation o SD1 = 8.5 from the first population. You obtain a sample of size n2 = 52 with a mean of M2 = 90.3 and a standard deviation of SD2 = 9.9 from the second population. What is the critical value for this test? For this calculation, use the conservative under-estima the degrees of freedom as mentioned in the textbook. (Report answer accurate to three deci places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)

MATLAB: An Introduction with Applications
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You wish to test the following claim (Ha) at a significance level of a = 0.05.
H.:µ1 = µ2
Ha:H1 < µ2
You obtain a sample of size nį = 58 with a mean of M1
SD1 = 8.5 from the first population. You obtain a sample of size n2 = 52 with a mean of
M2 = 90.3 and a standard deviation of SD2 = 9.9 from the second population.
= 87.8 and a standard deviation of
What is the critical value for this test? For this calculation, use the conservative under-estimate for
the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal
places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
O in the critical region
O not in the critical region
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that..
There is sufficient evidence to warrant rejection of the claim that the first population mean is
less than the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population
mean is less than the second population mean.
The sample data support the claim that the first population mean is less than the second
population mean.
O There is not sufficient sample evidence to support the claim that the first population mean is
less than the second population mean.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ1 = µ2 Ha:H1 < µ2 You obtain a sample of size nį = 58 with a mean of M1 SD1 = 8.5 from the first population. You obtain a sample of size n2 = 52 with a mean of M2 = 90.3 and a standard deviation of SD2 = 9.9 from the second population. = 87.8 and a standard deviation of What is the critical value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that.. There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
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