You wish to test the following claim (H) at a significance level of a = 0.10. H₂:₁ = 12 Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ = 65.7 and a standard deviation of SD₁ the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from 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? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater 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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You wish to test the following claim (H) at a significance level of a = 0.10.
H₂:1 = ₂
Ha: μη > με
You believe both populations are normally distributed, but you do not know the standard deviations
for either. However, assume that the variances of the two populations are equal. You obtain a
sample of size n₁ = 21 with a mean of ₁ 65.7 and a standard deviation of SD1
the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard
= 15.5 from
deviation of SD2 = 12.5 from the second population.
H
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? (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
accept the null
O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. H₂:1 = ₂ Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ 65.7 and a standard deviation of SD1 the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from deviation of SD2 = 12.5 from the second population. H 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? (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 accept the null O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population mean is
greater than the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population
mean is greater than the second population mean.
O The sample data support the claim that the first population mean is greater than the second
population mean.
O There is not sufficient sample evidence to support the claim that the first population mean is
greater than the second population mean.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
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