could you plz help me with this question?

The owner of a local nightclub has recently surveyed a random sample of 64 customers of the club. She would now like to determine whether the mean age of her customers is 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 32 years The population standard deviation was known to be 12 years. (5+1=6 marks) a) Perform a hypothesis test to examine whether mean age of customers is significantly greater than 30. Test at 5% significance. Interpret your answer. Show all six steps. If you want to use the symbols here they are u , o , * , ) , and 5 marks b) Explain what would you do differently if the given alpha changes. 1 mark