MA205- Elementary Statistics Essay Example | Topics and Well Written Essays - 2250 words

MA205- Elementary Statistics - Essay Examplee as the central theoremn states that if there is a large number of independent and identiacally distributed hit-or-miss variable, then the distribution of their sum tend to be normally distributed as the number of these variables increase indefinitely therefore the distribution does not have to normally distributed.(c) A sample of 100 taken , probability will be between 198 and 220Z = mean - X/ standard divergence198= 198 - 211/ 9 = -1.444Z = 0.07493220 = 220 - 211/ 9 = 1Z= 0.15865Area between the two Z points Prob. = 1- (0.07493+0.15865)Prob. = 0.76642Unit test three1. 99 %Mean = 2Standard deviation = 10SD= SD/ (N)1/22. 160 infantsMean = 5.98SD= 3.595% confidence level= (5.98 -( 3.5 X 1.6) X (5.98 +( 3.5 X 1.6) = 95%= 0.38 X 11.58 = 95%3. (a) Paralyzed(48.0 - (8.1 X 1.04) X (48.0 + (8.1 X 1.04) = 98%(39.576) X (56.424) = 98%None polarized(56.7 - (8.1 X 1.04 ) X (56.7 + (8.1 X1.04 ) = 98%(48.276) X (65.124) = 98%(b) ConclusionThe two con fidence intervals atomic number 18 different therefore there is a difference in the two means.4.(a) Type I when we reject the null hypothesis when it should be accepted.(b) Type II when we do not reject the null hypothesis when it should be rejected. (c) Z= 2.33P value is 0.49015. (a) null hypothesisH0 U Ha U = 15(b) t= 0.6107P value = 0.7269T critical is greater therefore we accept the null hypothesis 6. (a) H0 U Ha U =22000(b) (c) t calculated = 21819/ 1295 = 16.84T critical = 1.29T critical is less than T calculated therefore we reject the null hypothesis(d) Because we have rejected the null hypothesis it is still true to state that the tires last 22000 miles... T critical is greater than T calculated so we accept the null hypothesis that the change as a result of training is equal to zero, therefore the training makes some positive change towards those who are mentally retarded.