Data about salaries showed that staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune, Jan 15, 2007). You are a manager at a Tampa hospital and want to test the claim of the Tribune. You wish to test the claim at a significance level of a = 0.001. So you conduct a follow up survey of 25 staff nurses in Tampa and 40 staff nurses in Dallas. You find that the sample from Tampa showed an average salary of $56900 with a standard deviation of 6000, and the sample from Dallas showed an average salary of $61700 with a standard deviation of 6950. (Assume both populations are normally distributed, but you do not know the standard deviations for either. Also, you have no reason to believe the variances of the two populations are equal.) a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? p-value = Round to 4 decimal places. c. The p-value is... O less than (or equal to) a greater than a

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Data about salaries showed that staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa
Tribune, Jan 15, 2007). You are a manager at a Tampa hospital and want to test the claim of the Tribune.
You wish to test the claim at a significance level of a = 0.001. So you conduct a follow up survey of 25
staff nurses in Tampa and 40 staff nurses in Dallas. You find that the sample from Tampa showed an
average salary of $56900 with a standard deviation of 6000, and the sample from Dallas showed an average
salary of $61700 with a standard deviation of 6950.
(Assume both populations are normally distributed, but you do not know the standard deviations for either.
Also, you have no reason to believe the variances of the two populations are equal.)
a. What is the test statistic for this sample?
test statistic
Round to 4 decimal places.
b. What is the p-value for this sample?
p-value =
Round to 4 decimal places.
%3D
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
accept the null
O fail to reject the null
e. As such, the final conclusion is that...
Transcribed Image Text:Data about salaries showed that staff nurses in Tampa earn less than staff nurses in Dallas (The Tampa Tribune, Jan 15, 2007). You are a manager at a Tampa hospital and want to test the claim of the Tribune. You wish to test the claim at a significance level of a = 0.001. So you conduct a follow up survey of 25 staff nurses in Tampa and 40 staff nurses in Dallas. You find that the sample from Tampa showed an average salary of $56900 with a standard deviation of 6000, and the sample from Dallas showed an average salary of $61700 with a standard deviation of 6950. (Assume both populations are normally distributed, but you do not know the standard deviations for either. Also, you have no reason to believe the variances of the two populations are equal.) a. What is the test statistic for this sample? test statistic Round to 4 decimal places. b. What is the p-value for this sample? p-value = Round to 4 decimal places. %3D 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 accept the null O fail to reject the null e. As such, the final conclusion is that...
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