MINDTAP Search this course Fun Cengage Homework of Ch10 eBook Are nursing salari
ID: 3070581 • Letter: M
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MINDTAP Search this course Fun Cengage Homework of Ch10 eBook Are nursing salaries in Tampa, Florida, lower than those in Dallas, Texas? As reported by the Tampa Tribune, salary data show staff nurses in Tampa earn less than staff nurses in Dallas. Suppose that in a follow-up study of 31 staff nurses in Tampa and 44 staff nurses in Dallas you obtain the following results. Enter negative value as negative number 7. Tampa n-34 2, = $57,100 s189,400 8 Dallas R3 = 44 $61,800 8289,500 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use -0.05 Ha : 2 select your answer. :) 0 H' : 2 | . Select your answer0 b. What is the value of the test statistic? - (to 3 decimals) c. What is the p-value? Degrees of freedom is p-value is -select your answer d. What is We Select your answer- that the salaries of staft nurses are lower in Tampa than in Dallas. Round degrees of freedom to previous whole number your conclusion? Check My Work Tean Re A-7 9 1857,100 #2$61,800 s $9,400 82 $9,500 8. Tampa Dallas 34 n2 44 2$61,800 82 = $9,500 9 1857,100 $9,400 a. Formulate hypothesis so that, if the null hypothesis is rejected, we can conclude that salaries for staff nurses in Tampa are significantly lower than for those in Dallas. Use -0.05 Ho : 1(-. Select your answer-3 0 H, :142 ( select your answer- 0 b. What is the value of the test statistic? (to 3 decimals) c. What is the p-value? Degrees of freedom is p-value is -Select your answer- d. What is your conclusion? We -Select your answer- that the salaries of staff nurses are lower in Tampa than in Dallas. Round degrees of freedom to previous whole number Check My Work Or Icon KeyExplanation / Answer
a)
H0: mu1 - mu2 >= 0
Ha: mu1 - mu2 < 0
b)
SE = sqrt[ (s12/n1) + (s22/n2) ]
(s12/n1) = 2598823.5294
(s22/n2) = 2051136.3636
SE = 2156.3766
Test statistics,
t = (57100 - 61800)/2156.3766
t = -2.180
c)
DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] }
[ (s12 / n1)2 / (n1 - 1) ] = 204663143546.189
[ (s22 / n2)2 / (n2 - 1) ] = 97840939121.66
(s12/n1 + s22/n2)2 = 21622127006956.20
DF = 71
p-value = 0.0163
d)
As p-value is less than the significance level of 0.05, we reject the null hypothesis.
We conclude that the salaries of staff nurses are lower in Tampa than in Dallas
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