Question

A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework and process, a sample of 332 patients showed the mean wait time was 23.14 minutes, with a standard deviation of 16.05 minutos. Complete parts (a) and (b) below. a. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the population mean wait time is less than 25 minutes? State the null and alternative hypotheses OA. Hp: <25 H >25 OD. Ho: 225 Hu<25 OB. Ho:r<25 H225 O E. Ho: > 25 H: <25 OC. Ho H225 Hyu#25 OF HO: #25 H: 1225 Find the test statistic for this hypothesis test. ISTAT (Type an integer or a decimal. Round to two decimal places as needed.) Find the p-value The p-value is (Type an integer or a decimal. Round to three decimal places as needed.) is there sufficient evidence to reject the null hypothesis? (Use a 0.05 level of significance) O A. Do not reject the null hypothesis. There is insufficient evidence at the 0.05 level of significance that the population mean wait time is less than 25 minutes OB. Reject the null hypothesis. There is sufficient evidence at the 0.05 level of significance that the population mean wait time is greater than 25 minutes C. Relect the null toothesis. There is sufficient evidence at the 0.05 level of sionificance that the coolation mean wait time is less than 25 minutes

Answer 1

Give n=232, x = 2324 s=16.05. x=0.05 a) The null and alternative hypotheses are 0 Holz HEM < 25 6 The test statistic is to at 23-14 – 25 16-05 32-) > tw--176 () P-value =P (t2-1.76) with 1-1=23) dt. -0.0392 d) since y evalue is less thes a=005 Reject the null hypothesis. There is sufficient evidence at the aos level of significance that the population meastime is lessthes 25 minutes The Rvalue is the probability that the act ual mees bast time is more than 23 14 minute,