Question

1) Accident rates for a random sample of n₁ = 12 regions in the Northern region have a mean M₁ = 3.97 with SS₁ = 13.2. In the Midwestern States a random sample of n₂ = 10 has M₂ = 3.75 with SS₂ = 9.9. Use α = 0.05 to determine if the accident rate in the Northern region is significantly different.

a) Identify the null and alternate hypotheses

         

         

                                                                       

b) Compute the degrees of freedom

                                                                                            

c) Identify the critical t value

         

                                                                                 

d) Calculate the pooled variance

         

                                                                                 

e) Calculate the estimated standard error of the mean

                    

                                                                       

f) Calculate the t statistic

                                                                                            

g) What is your decision regarding the null hypothesis

Answer 1