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A new type of medication has been developed for the treatment of a certain type of...

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

??: ∗∗∗∗∗∗∗∗∗∗∗∗∗∗ ?=1,…,12
a. Obtain the sample mean,variance, standard deviation, mod, median,range
values.
b. For the (?−?) confidence level, obtain the confidence interval for the average recovery time μ of the any patient treated with this medication. ( two sided)
Note: take the * observations from the [2,15] interval. take the ? value from the [10,15] interval.
Take the (?−?) value from the 0.90, 0.95, 0.99 most used values. Explain which case you use.

For any ?? value; to test the hypothesis ?<?0 ( Take the ?? value randomly)

Write the ?? ve ?? hypothesis
Obtain the calculated value.
Show the critical region.
What is your decision and conclusion.

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