3 a researcher suggests that male nurses earn more than...

3. A researcher suggests that male nurses earn more than female nurses. A survey of 16 male nurses and 20 female nurses reports these data: $\bar{X}_2 =23,750$ US\$ $\bar{X}_1 =23,800$ US\$ $s_2 = 250$ US\$ $s_1 =300$ US\$ $n_2 =20$ $n_1 =16$ Is there enough evidence to support the claim that male nurses earn more than female nurses? Use $\alpha=0.05$.

A researcher wishes to determine whether the salaries of professional nurses employed by private hospitals are higher than those of nurses employed by government-owned hospitals. She selects a sample of nurses from each type of hospital and calculates the means and standard deviations of their salaries. At the 0.01 level of significance, test the claim that private hospitals pay more than government-owned hospitals. Assume both populations are normal and the variances are equal. Private x1 = $26,800, s1 = $600, n1 = 10. Government x2 = $25,400, s2 = $450, n2 = 8. Claim: Null hypothesis Alternative hypothesis: Private hospitals pay more than government-owned hospitals. Calculator Screen: Name: Test statistic pvalue/alpha: Decision Comparison: Conclusion b) Construct a 99% confidence interval for Î¼1 - Î¼2 based on the sample data above. Interpret the interval in a complete sentence. Confidence Interval Name: Interval: Interpret:

Joshua A.

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