Question

A new type of medication has been developed for the treatment of a certain type
of disease. It is known that; the standard deviation for the average recovery times of patients
treated with this medication is , σ = 2 . Randomly selected 12 patients were treated with this
medication and the recovery days are given as;

Xi: 12, 5, 8, 12, 6, 6, 12, 17, 18, 5, 12, 13 i = 1, … , n

a. Obtain the sample mean,variance, standard deviation, mod, median,range
values.

b. For the (1 − α)= 0.95 confidence level, obtain the confidence interval for the average
recovery time μ of the any patient treated with this medication. ( two sided)
Explain which case you use.

For μ0 = 12 ; to test the hypothesis μ <μ0
c.Write the H0 and H1 hypothesis
d.Obtain the calculated value.
e.Show the critical region.
f.What is your decision and conclusion.

Answer 1