Question

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 13 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.5 hours to be admitted into the hospital. The standard deviation for these 13 patients was 1.4 hours. What can be concluded at the the Q = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: H: ?D? H: ?D?D c. The test statistic ? D = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? Da f. Based on this, we should select an answer the null hypothesis.

Answer 1

The statistic software output for this problem is:

One sample T summary hypothesis test: M: Mean of population Ho : u = 7 HA: U <7 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat 6.5 0.38829014 12 -1.2876969 P-value 0.1111

H₀ : μ = 7
H_A : μ < 7

Test statistics = -1.287

P-value = 0.1111

P-value > 0.10

Fail to reject the null hypothesis .

Option a)