56) Given a universe of items that is normally distributed with unknown mean, and standard deviation, o, equal to 5. Based upon a random sample of 9...

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56) Given a universe of items that is normally distributed with unknown mean, and standarddeviation, o, equal to 5. Based upon a random sample of 9 items with mean, X, equal to 29,test the hypothesis Ho : u 2 35 against the alternate Ha : u < 35 using a 0.05 level ofballsosignificance.57) Test the null hypothesis Ho : u < 20 against the alternate Ha : u > 20 based upon thefollowing information10 n = 36lovel sofmartinX = 24a = 0.0558) A random sample of 5 items is selected from a normal universe with the following results:16 19 24 21 17Based upon the above sample data, test the hypothesisHo: u < 14 against the alternateHa: u > 14. Use a 0.05 level of significance.