--%>
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 : Data Description 1. If the mean number

    1. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.) A. 2.1% B. 4.5% C. 0.3% D. 4.2% 2. The probability of an offender having a s

    		•
  • Q : Quantities in a queuing system

    Quantities in a queuing system: A: Count of

    		•
  • Q : Hw An experiment is conducted in which

    An experiment is conducted in which 60 participants each fill out a personality test, but not according to the way they see themselves. Instead, 20 are randomly assigned to fill it out according to the way they think a parent sees them (i.e. how a parent would fill it out to describe the participant

    		•
  • 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 : Problems on ANOVA We are going to

    We are going to simulate an experiment where we are trying to see whether any of the four automated systems (labeled A, B, C, and D) that we use to produce our root beer result in a different specific gravity than any of the other systems. For this example, we would l

    		•
  • Q : Explain Service times Service times: A)

    Service times:A) In most cases, servicing a request takes a “short” time, but in a few occasions requests take much longer.B) The probability of completing a service request by time t, is independent of how much tim

    		•
  • Q : Define Operational Analysis

    Operational Analysis: • Analysis method based on the measurement of the operational characteristics of the system.

    Q : Calculate the p- value Medical tests

    Medical tests were conducted to learn about drug-resistant tuberculosis. Of 284 cases tested in New Jersey, 18 were found to be drug- resistant. Of 536 cases tested in Texas, 10 were found to be drugresistant. Do these data indicate that New Jersey has a statisti

    		•
  • Q : Assumptions in Queuing system

    Assumptions in Queuing system: • Flow balance implies that the number of arrivals in an observation period is equal to the

    		•