Find a solution to the following problem Be sure to include

Find a solution to the following problem. Be sure to include all relevant information for each of the following problems, including hypotheses, critical value, degrees of freedom, and a statement about significance. Also please create a narrative explanation of the calculations where you describe, step-by-step, how you arrived with the solution to this question.

- As an industrial psychologist, you have been hired by a large hospital to automate the admitting procedure and reduce the admission time. Previously, it took an average of 40 minutes to admit each patient, with a standard deviation of 9 minutes. You create a new computerized procedure and find that your automated procedure takes an average of 34.5 minutes for the 35 patients in your pilot study. Determine if your system significantly reduced admit time.

Solution

Null hypothesis: The average is the same

Alteranative hypothesis: the average is less than 40.

Z=34.5-40/9/sqrt(35)=-3.62

p value is 0.0001. Since is less than 0.05, we reject the null hypothesis and conclude that the average is less than 40.