1 . 182 points ; Your statistics professor either assigns nice tests , cruel tests or diabolical tests . Nice* tests are the easiest , diabolical

Question 1 Parts a-d (Attached Tables If Applicable)

• Attachment 1
• Attachment 2
• Attachment 3

1 . 182 points ; Your statistics professor either assigns nice tests , cruel tests or diabolical tests . Nice*tests are the easiest , diabolical tests are the hardest , and cruel tests are in between . On cruelLists, scores are normally distributed with `. = 50 and 1. = 12. Your class has 30 students .The average score for the class of 36 students is*.( a ) 15 points ) If the first test is cruel , what is the standard deviation of* ?( 6) 19 points ; If the first test is cruel , what is the probability that* is greater than 50 or lessthan 15 ?)( c ) 19 points ) The average score on the first test is $5. Test the null hypothesis that the firsttest was cruel . Use a _. 05 and a two- sided test to test this null hypothesis .( d) (9 points ; Suppose that nice tests also have scores that are normally distributed , but theyhave a different " with " = 50 and a = 12. For the second test of the semester , Youplan to do another hypothesis test , again with the null hypothesis that the test is cruel .If the second test is in fact nice , not cruel , what is the probability you will make a true ?CITUT Ill Your fir pothesis Lost!"