You wish to test the following claim (H) at a significance level of a = 0.005. Trl = Inl:°H You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size nj = 23 with a mean of a1 = 86.6 and a standard deviation of s = 19.1 from the first population. You obtain a sample of size no = 20 with a mean of a- 96.5 and a standard deviation of s2 = 7.1 from the second population. a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use . p-value = Use Technology Round to 4 decimal places.

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You wish to test the following claim (H.) at a significance level of a =
0.005.
You believe both populations are normally distributed, but you do not know the standard deviations for
either. And you have no reason to believe the variances of the two populations are equal You obtain a sample
- 19.1 from the first population.
7.1 from
of size ni
23 with a mean of a1
You obtain a sample of size n2
the second population.
86.6 and a standard deviation of s1
20 with a mean of r2
96.5 and a standard deviation of s2 =
a. What is the test statistic for this sample?
test statistic =
Round to 3 decimal places.
b. What is the p-value for this sample? For this calculation, use
p-value
Use Technology Round to 4 decimal places.
Transcribed Image Text:You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.
c. The p-value is...
O less than (or equal to) a
greater than a
d. This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
e. As such, the final conclusion is that..
O 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:c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that.. O 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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