Suppose that over the past 30 years during any given week of the major-league season, an average of µ = 12 players are hit by wild pitches. Assume that the distribution is normal with a standard deviation of σ =3. For a sample of n = 4 weeks, in which the daily temperature was extremely hot, the weekly average of hit-by- pitch players was M = 15.5.Are players more likely to get hit by pitches during hot weeks? Use a one-tailed test with α = .05.A) The null hypotheses in words is:Group of answer choicesThe number of hit-by-pitch players during hot weather remains the sameThe number of hit-by-pitch players during hot weather significantly changesThere is a significant increase in the number of hit-by-pitch players during hot weather. There is not a significant increase in the number of hit-by-pitch players during hot weather. B)The alternative hypothesis in symbols is:Group of answer choicesH1: µ = 12H1: µ ≠ 12H1: µ > 12H1: µ ≤ 12H1: M ≤ 12H1: M >12H1: M ≠ 12H1: M = 12C)The critical z value isIf it is a decimal number that is less than one, please include the 0 before the decimal point. If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round. Finally, it is is a negative number, please do not forget to put the minus sign in front of it. D)The z-score statistic is:If it is a decimal number that is less than one, please include the 0 before the decimal point. If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round. Finally, it is is a negative number, please do not forget to put the minus sign in front of it. E)Your decision isGroup of answer choicesReject the null hypothesis and conclude that that there is a significant increase in the number of hit-by-pitch players during hot weatherReject the null hypothesis and conclude that that there is not a significant increase in the number of hit-by-pitch players during hot weatherFail to reject the null hypothesis and conclude that that there is a significant increase in the number of hit-by-pitch players during hot weatherFail to reject the null hypothesis and conclude that that there is not a significant increase in the number of hit-by-pitch players during hot weatherG)Compute Cohen’s d to estimate the size of the effect. Cohen's d is:If it is a decimal number that is less than one, please include the 0 before the decimal point. If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round. H) Report the results in APA