How would you solve the below?

Suppose a survey of a random sample of 144 smokers, conducted by the Health Department, suggests that the mean number of cigarettes a person smokes in a day in Smoke city () is 2.58 and the standard deviation (S_y) is 0.58. The Department of Health is concerned about the results of the survey and wants to test whether the mean number of cigarettes a person smokes in a day is 2.52 or not.

The test statistic associated with the above test is? (Rounded to two decimal points)

Suppose the department of Health Decides to reject the null hypothesis (H₀) if | - 2.52| > 0.11

The size of the above test is? (Rounded to two decimal points)

If =2.69, the power of the above test is? (Rounded to two decimal points)