Q1) A study of cats and dogs dtermined that 11 of 50 cats and 21 of 50 dogs slept more than 10 hours per day.  At.05 level of significance, is there sufficient evidence to conclude that difference exists between proportion of cats and proportion of dogs which sleep more than 10 hours per day?  

a) No, there is not sufficient information to refuse hypothesis that proportion of cats and proportion of dogs which sleep more than 10 hours per day are same because test value -0.65 is inside acceptance region (-1.96,1.96).  

b) Yes, there is sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -2.14 is outside the acceptance region (-1.96,1.96).  

c) No, there is not sufficient information to refuse hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -1.40 is inside the acceptance region (-1.96,1.96).  

 d) Yes, there is enough information to refuse hypothesis that proportion of cats and proportion of dogs which sleep more than 10 hours per day are the same because the test value -2.47 is outside the acceptance region (-1.96,1.96).

Q2) Real estate developer determines that sale prices of condominium in a certain township follow approximate Normal distribution with average price of $175,500 and standard deviation of $8,000. He wishes to set prices of the condominiums he desires to sell so that he would cover the middle 75% of market in terms of the price range.  What must he set minimum and maximum prices of his condominiums to be?