--%>
Assignment Help - homework help

Compare the test results

The grade point averages of 61 students who completed a college course in financial accounting have a standard deviation of .790. The grade point averages of 17 students who dropped out of the same course have a standard deviation of .940. Do the data indicate a difference between the variances of grade point averages for students who completed a financial accounting course and students who dropped out? Use α = .05 level of significance. Use both p-value and critical value approaches. Compare the test results.

 

E

Expert

Verified

Data

N1 = 61, SD1 = 0.79, N2 = 17, SD2 = 0.94

S12 = 0.792 = 0.6241

S22 = 0.942 = 0.8836

Hypothesis Formation

H0: σ1 = σ2

H1: σ1 ≠ σ 2

Test Stastistics

F =S12/S22

Critical Region

Reject H0 in favor of alternative if F test statistic lesser than the critical value of F critical value or lesser than -F critical value.

i.e F-test statistic > critical value of F OR F-test statistic < critical value of -F

Critical value of F at 0.05 Significance Level for two tail test

Df1 = N1 - 1 = 61 - 1 = 60

Df2 = N1 - 1 = 17 - 1 = 16

Critical value of F with df 8 and alpha 0.05 = F0.05/2,60,16 = 2.45

Computation

F-Statistic = 0.6241/0.8836

    = 0.71

Decision

As F statistic is neither greater than 2.45 nor smaller than -2.45 so we can not reject null hypothesis. P-value can't be determine in this manually however it can be said that it will be at least greater than the tolerance level of 0.05.

   Related Questions in Basic Statistics

  • Q : Time series what are the four

    what are the four components of time series?

    		•
  • Q : Derived quantities in Queuing system

    Derived quantities in Queuing system: • λ = A / T, Arrival rate • X = C / T, Throughput or completion rate • ρ =U= B / T, Utilization &bu

    		•
  • Q : What is Inter-arrival times

    Inter-arrival times:A) Requests arrive randomly, often separated by small time intervals with few long separations among themB) The time until the next arrival is independent of when the last arrival occurredC) Coro

    		•
  • Q : Computers playing games How Computers

    How Computers playing games can be categorized according to different dimensions?

    		•
  • Q : Develop the most appropriate regression

    Predicting Courier Costs The law firm of Adams, Babcock, and Connors is located in the Dallas-Fort metroplex.  Randall Adams is the senior and founding partner of the firm.  John Babcock has been a partne

    		•
  • Q : MANOVA and Reflection Activity

    Activity 10:   MANOVA and Reflection   4Comparison of Multiple Outcome Variables This activity introduces you to a very common technique - MANOVA. MANOVA is simply an extension of an ANOV

    		•
  • Q : State the hypotheses At Western

    At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean ex

    		•
  • Q : State Littles Law Little’s Law : • L =

    Little’s Law: • L = λR = XR • Lq = λW = XW • Steady state system • Little’s Law holds as long as customers are not destroyed or&nbs

    		•
  • Q : Decision Variables Determine Decision

    Determine Decision Variables: Let X1 be the number of private homes to be inspectedLet X2 be the number of office buildings to be inspect

    		•
  • Q : STATISTICS Question This week you will

    This week you will analyze if women drink more sodas than men.  For the purposes of this Question, assume that in the past there has been no difference.  However, you have seen lots of women drinking sodas the past few months.  You will perform a hypothesis test to determine if women now drink more

    		•