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Are biomedical engineering salaries in Miami less than those in Minnesota? Salary data show that staff biomedical engineers in Miami earn less than those in Minnesota. Suppose that in a follow-up study of 35 staff engineers in Miami and 45 staff engineers in Minnesota you obtain the following results: 4. Miami Minnesota 35 Xt = $62, 150 S $8000 n2 45 x $85, 450 2$7000 Formulate a hypothesis statement so that if the nul hypothesis is rejected, we can conclude that Miami biomedical engineering salaries are significantly lower than those in Minnesota. a. b. The standard deviations for both populations can be assumed equal, write out statistic you would use. c. What would be your decision rule? (Use 0.05) di What s the value of your statistic? e. What is your p-value? t What ia your conclusion?
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Answer Date: 14/01/2019 To test the hypothesis is that Miami biomedical engineering salaries are significantly lower than those in Minnesota at 5% significance level. a) The null and alternative hypothesis is, b) The standard deviations for both populations can be assumed equal. The two-sample t test assumes equal variances statistics is used. c) The t-critical value is,The sample size is small and left-tailed test. Look in the column headed α row headed in the t distribution table by using degree of freedom is, 0.05 and the 35+45 2 - 78 The t-critical value is-1.665 d) The value of the test-statistics is, First, compute the pooled variance then find the value of the test-statistics. The pooled variance is, n2-1 (35-1)x6000 (45-1)x7000 (35-1)+(45-1) - 433,333,33.33The value of the test-statistics is, n.n (62150-65450)-0 433,333,33.33, 433,333,33.33 35 45 --2.224 The value of the test-statistics is - 2.224 e) The P-value for this test is, From the t distribution table, show the degree of freedom 78 and t-test statistics is 2.224 and the p-value is between 0.01 and 0.05.The P-value for this test is 0.01 < P0.05 f) Decision The statistical decision is that the t-test statistics which is -2.224 is greater than t-critical value which is-1.665, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that Miami biomedical engineering salaries are significantly lower than those in Minnesota. The result is statistically significant.

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