Each person in random samples of 237 male and 293 female working adults living i

Question

Each person in random samples of 237 male and 293 female working adults living in a certain town in Canada was asked how long, in minutes, his or her typical daily commute was. (Use a statistical computer package to calculate the P-value. Use mu_males - mu_females. Round your test statistic to two decimal places, your df to the nearest whole number and your P-value to three decimal places.) t = df = P = Is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town? Use a significance level of 0.05. Yes No You may need to use the appropriate table in Appendix A to answer this question. A state health web site provides information on the cost-to-charge ratio (the percentage of billed charges that are actual costs to the hospital). The cost-to-charge ratios for both inpatient and outpatient care in 2002 for a sample of six hospitals of that state follow. (Use a statistical computer package to calculate the P-value. Use mu_inpatient - mu_outpatient. Round your test statistic to two decimal places and your P-value to three decimal places.) t = df = P-value Is there sufficient evidence to suggest that the mean difference cost-to-charge ratio for the state's hospitals is lower for outpatient care than for inpatient care? Use a significance level of 0.05. Yes No

Explanation / Answer

7. The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

So,

t = 1.09

Df = 508

P = 0.276

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 2.3 2.1084838 507.58423 1.0908312 0.2759

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