I need help on these 4 stats questions:

Section 2 Questions 4,5,6 are based on the following set-up. Question 3 provides the random input values for digits indicated as A,B,C ,D, E and F in what follows. The nicotine content in cigarettes of a certain brand is Normally distributed with standard deviation 5 = M milligrams. The brand advertises that the mean nicotine content of their cigarettes is m =1 .5 milligrams, but you are suspicious that the mean nicotine content is larger than advertised and plan to investigate the advertised claim by obtaining a simple random of E cigarettes of this brand and conducting a one sample 2 test. Question 4 (Mandatory) (2 points) If you want to maintain a significance level of 0.0C,_what is the rejection criterion of the null hypotheses? (This must be in terms of the test statistic Z and must provide the numerical value of the critical value.)Question 5 (Mandatory) (2 points) For a significance level of 0.0C, what is the power of the test to detect an increase of O.D milligrams if the sample size is 2B?Question 6 (Mandatory) (2 points) Suppose that a random sample of 2B people resulted in a sample average equal to 1.F. What would be the result of the one sample z test, if you were to use a significance level of 0.0A? O A) Fail to reject the null hypothesis O B) Reject the null hypothesisQuestion 7 (Mandatory) (2 points) Suppose in truth that the true mean nicotine conetent of these brand of cigarettes is [A = 1.E . If the X value is equal to 1.F then the large sample 2 test will result in the following: 0 A) Type-1 error 0 B) Type2 error 0 C) Correct decision