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 inDallas. Suppose that in a follow-up study of 45 staff nurses in Tampa and 55 staff nurses in Dallas you obtain the following results. Enter negative value as negative number.TampaDallasn1 = 45n2 = 55T1 = $53,100I2 = $56,20081 = $5,20082 = $6,900a. 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 a = 0.05T1 – Il : °HH.: P1 - H2b. What is the value of the test statistic?(to 3 decimals)c. What is the p-value?Degrees of freedom isRound degrees of freedom to previous whole number.p-value is - Select your answer -

(a). Null and alternative hypothesis: The investigator is specifically interested to test whether the salaries for staff nurses in Tampa are lower than the salaries for staff nurses in Dallas. Denote µ1 as the population mean salary for staff nurses in Tampa and µ2 as the population mean salary for staff nurses in Dallas. The test hypotheses are stated below: Null hypothesis: H0 : μ1 = μ2 That is, there is no significant difference in the mean salary for staff nurses between Tampa and Dallas. Alternative hypothesis: H1 : μ1 ≠ μ2 That is, the mean salary for staff nurses in Tampa is significantly lower than the mean salary in Dallas. In order to test the hypothesis regarding the significant difference between the means of two independent samples, when the population standard deviations are unknown an independent sample t-test is appropriate.(b). Compute the Test statistic value: The sample size for Tampa is n1 = 45. The sample size for Dallas is n2 = 55. The standard deviation for Tampa is s1 = 5200, The standard deviation for Dallas is s2 = 6900. Assume that the population variances are equal. The pooled sample standard deviation is obtained as 6194.7147 from the calculation given below: The standard error of the difference of means is obtained as 1245.1872 from the calculation given below: The sample mean salary in Tampa is x1-bar = 53100. The sample mean salary in Dallas is x2-bar = 56200. The test statistic is obtained as -2.490 from the calculations given below: Thus, the value of test statistic is t = -2.490.Degrees of freedom: The degrees of freedom is obtained as given below: P-value: The critical value is obtained as 0.0072 from the calculation given below:Decision rule: The level of significance is α = 0.05. Decision rule based on P-value approach: If P-value ≤ α, then reject the null hypothesis H0. If P-value > α, then fail to reject the null hypothesis H0. Conclusion based on P-value approach: The P-value is 0.0072 and α value is 0.05. Here, P-value is less than the α value. That is, 0.0072 (=P-value) < 0.05 (=α). By the rejection rule, reject the null hypothesis. Thus, the mean salary for staff nurses in Tampa is significantly lower than the mean salary in Dallas. Hence, at 0.05 level of significance, there is enough evidence to support the claim that the salaries for staff nurses in Tampa are significantly lower than for those in Dallas.

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Statistics

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 45 staff nurses in Tampa and 55 staff nurses in Dallas you obtain the following results. Enter negative value as negative number. Tampa Dallas n1 = 45 n2 = 55 T1 = $53,100 T2 = $56,200 81 = $5,200 82 = $6,900

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 45 staff nurses in Tampa and 55 staff nurses in Dallas you obtain the following results. Enter negative value as negative number. Tampa Dallas n1 = 45 n2 = 55 T1 = $53,100 T2 = $56,200 81 = $5,200 82 = $6,900

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 45 staff nurses in Tampa and 55 staff nurses in Dallas you obtain the following results. Enter negative value as negative number.
Tampa
Dallas
n1 = 45
n2 = 55
T1 = $53,100
I2 = $56,200
81 = $5,200
82 = $6,900
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 a = 0.05
T1 – Il : °H
H.: P1 - H2
b. What is the value of the test statistic?
(to 3 decimals)
c. What is the p-value?
Degrees of freedom is
Round degrees of freedom to previous whole number.
p-value is - Select your answer -

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