ccording to a study conducted two years ago by the Organisation for Economic Cooperation and Development (OECD), the average length of stay in a hospital was 8.6 days in Russia. A researcher in Russia suspects that the average length of stay in a hospital has actually increased in Russia since the study was released by the OECD two years ago. To test his suspicion, the researcher selected a random sample of 119 hospital patients in Russia and calculated the average length of hospital stay. The mean of the sample was found to be 8.88 days. Using a significance level of 1%, test the hypothesis that the mean length of stay in a hospital in Russia is more than 8.6 days. Assume that the standard deviation of the lengths of all hospital stays in Russia is known to be 1.43 days. Use the p-value method. State the null and alternative hypothesis for this test. H0:H0:? = > < p = p p p p > p < H1:H1:? = > < p = p p p p > p < Determine if this test is left-tailed, right-tailed, or two-tailed.

• two-tailed
• right-tailed
• left-tailed

Should the standard normal (zz) distribution or Student's (tt) distribution be used for this test?

• The Student's tt distribution should be used
• The standard normal (zz) distribution should be used

Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test.

• The sample data provide sufficient evidence to reject the null hypothesis that the average length of stay in a hospital in Russia is 8.6 days and thus we conclude that the average length of stay in a hospital in Russia is likely longer than 8.6 days.
• The sample data do not provide sufficient evidence to reject the null hypothesis that the average length of stay in a hospital in Russia is 8.6 days and thus we conclude that the average length of stay in a hospital in Russia is likely 8.6 days.
• The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average length of stay in a hospital in Russia is greater than 8.6 days and thus we conclude that the average length of stay in a hospital in Russia is likely greater than 8.6 days.
• The sample data provide sufficient evidence to reject the alternative hypothesis that the average length of stay in a hospital in Russia is greater than 8.6 days and thus we conclude that the average length of stay in a hospital in Russia is likely 8.6 days.