Solutions to Exam #1, Version CQ No. onVer ASolutionsVersion A1The problem states to find if cars performance is better than manufacturers rating , so Ha : M > 30 hence Ho:M<=30E2Tcrit is printed in the output Table as 2.62A3Since T* (2.04)< Tcrit(2.62) we FTR Ho; and conclude there is insufficient evidence for alternate hypothesis to be true.B4Xbar + T(alpha)(S/sqrt(n) = 31.853 + 2.62(3.5/3.87)=34.5D5We chose T test because sample size is small and population std. deviation is not knownB6The salesman believes that cars get over 400 miles ,soHa: M > 400 and Ho: M<=400B7T cal= (Xbar- M)/(s/sqrt(n)) =4.01D8Z value of 0.889 corresponds (is close to) to area of 0.3130, so p-value is 0.5-0.3130 =0.1870E9Since P-value (0.187) > 0.1 we FTR Ho and conclude that there is insufficient evidence that the cars give over 400 miles.D10T-crit value from the output Table given is 1.3968E11Calculated value of Test Statistic is 4.11( from same Table)C12The p-value printed in the same Table is 0.0033, clearly < 0.01E13The problem asks to test if proportion of men is larger than proportion women so Ha: p(m) >p(f)A14Calculated value of Test Statistic is
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