The following three independent random samples are obtained from three normally distributed populations with equal variance....

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Statistics

The following three independent random samples are obtained fromthree normally distributed populations with equal variance. Thedependent variable is starting hourly wage, and the groups are thetypes of position (internship, co-op, work study). We are testingthe claim that the starting salaries for new college graduate aredifferent depending on the positions at α=0.2α=0.2 given thefollowing data

Group 1: InternshipGroup 2: Co-opGroup 3: Work Study
1011.2516
14.751314
10.513.514
9.517.7513
14.758.516.5
141016
151413.5
1114.2512
12.7512.515.75
11.2513.2516.25


  1. For this study, we should use Select an answer χ²GOF-TestT-Test 1-PropZInt TInterval 2-PropZInt 2-SampTInt χ²-Test ANOVA1-PropZTest 2-SampTTest 2-PropZTest

  2. Your friend Monique helped you with the null and alternativehypotheses...
    H0: μ1=μ2=μ3H0: μ1=μ2=μ3
    H1:H1: At least one of the mean is different from theothers.
  3. The test-statistic for this data = (Please show your answer to3 decimal places.)

  4. The p-value for this sample =  (Please show youranswer to 4 decimal places.)

  5. The p-value is Select an answer greater than alpha, less than(or equal to) alpha  αα

  6. Base on this, we should Select an answer accept the nullhypothesis, reject the null hypothesis, accept the alternativehypothesis fail to reject the nullhypothesis  hypothesis

  7. As such, the final conclusion is that...
    • Base on the sample data, there is sufficient evidence toconclude the claim that the starting salaries for new collegegraduate are different depending on the positions at αα = 0.2.
    • Base on the sample data, there is not sufficient evidence toconclude the claim that the starting salaries for new collegegraduate are different depending on the positions at αα = 0.2.

Answer & Explanation Solved by verified expert
4.2 Ratings (791 Votes)
Ans We should use ANOVA Test statisticF3447 pvalue00464 calculations for ANOVA is done in below given tables The pvalue is less than or equal to alpha we should reject the null hypothesis Base on    See Answer
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