Question

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 22 staff nurses in Dallas. You find that the sample from Tampa showed an average salary of S55300 with a standard deviation of 5100, and the sample from Dallas showed an average salary of S61000 with a standard deviation of 7750. (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 less than (or equal to) a greater than a d. This test statistic leads to a decision to... reject the null accept the null fail to reject the null e. 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. 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. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.

Answer 1

Date Given. 55300 = 0.00) O REDMI NOTE 8 že = 61000 25 na 22 S 5100 S₂ = 7750 test statistics Z- x-x2 s2 s² ni n2 55300 - 1000 5100 + 25 22 -57oo 1941.78105 2 77502 z = 121 = 2.9354 ~ 2.94] 6) P value -0.0010 =PL22 2.94) c) The Pralue is greater than a=0.00 d) Accept the nell e There is not sufficient sample evidence to support the claim that the first population mean is less than second population man