Question

In the last quart of 2007 a group of 64 mutual funds had mean return of 2.8%

In the last quarter of 2007, a group of 64 mutual funds had a mean return of 28% with a standard deviation of 6.5%. Fa normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first a) Returns of -16.7% or less b) Returns of 2.8% or less c) Returns between - 10.2% and 15.8% d) Returns of more than 9.3% % a) The expected percentage of returns that are - 16.7% or less is (Type an integer or a decimal.)

Answer 1

we have given: n = sample size = 64 M= population mean = 2.8%. G= population standard der= 6:57. emyjoicou rule 685. -951. -99.75. 681. observahon is lies within tu to interval asi observation is lies within "[Mf20] interval 99.77 almost all observation is lies within (Mf30] 681 rule = [ 2.8 $6.57 = [-3.7, 93)

951 rue = (20 + 13] = [-10.2 , 15.8) 94.7%. swe = (2-8 $19.] =(-16.7, 22-3] are of returns that 9 16.7%. the expected percentage or less is 99.81.] Retions of a gl. or less (= 68;.) c) Returns between 10.2%.& 15.8%. E 95% Me Returons more than . 9.3% (= 95%.