Hi there, I am studying and answering these questions and would like to see if my answers match yours, would you PLEASE share the step by step process, just in case my answer does not match yours I SEE my error or mistake?

At a large hospital the average number of new hospital-acquired infections is 16.5 infections per week. Hospital staff decides to implement new procedures to reduce the number of hospital-acquired infections. Four months after the new procedures were implemented, an SRS of 9 weeks found an average of 15.3 infections per week. Suppose hospital-acquired infections are normally distributed with a known standard deviation()of 2.1 infections per week. At the 5% level of significance, is there evidence the new procedures reduced the rate of hospital-acquired infections?

(a) (4 pts.) State your hypotheses using mathematical notation (symbols).

(b) (4 pts.) Calculate the value of the test statistic.

(c) (4 pts.) Determine the p-value.

(d) (4 pts.) State your conclusion in terms of the problem.