Hypothesis Testing for Four Population Means with ANOVA Tables

1. Test to see if four population means are the same or different. Assume the populations are normally distributed and have equal variances. Use the formal hypothesis-testing model. State the conclusion in statistical terms and in conversational English. Use the ANOVA table below.

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 900 3 300 3.00 0.0480
Within Groups 2500 25 100

Total 3300

2. ) I want to prove that a population mean is not 150. Use an alpha of 5% and set up the full, detailed, five step hypothesis test. Assume when the sample 200 is taken the sample standard deviation is 10 and the sample mean is 151.77. What is the p value?

1. Test to see if four population means are the same or different. Assume the populations are normally distributed and have equal variances. Use the formal hypothesis-testing model. State the conclusion in statistical terms and in conversational English. Use the ANOVA table below.

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 900 3 300 3.00 0.0480
Within Groups 2500 25 100

Total 3300

The null hypothesis in this test is that the means of the four populations are all the same. The alternative hypothesis is that at least one of the four means differs from the others.

The test statistic is shown under the column labeled "F". The value of the test statistic is F = 3.00. If the null hypothesis is true, this value is a randomly ...

Solution Summary

The hypothesis testing for four population means using ANOVA tables is determined.

... different communities can be tested using Chi-square Test. ... Q.(1): The following hypotheses are given: ...Hypothesis H1 : σ 12 ≠ σ 2 2 Alternative Hypothesis. ...

... by step method for the calculation of testing of hypothesis. ... X Conclusion: Fails to reject the null hypothesis, since the ... Z Test for Differences in Two Means. ...

... value of F? F(3,12)=3.49 d. Write out the null and alternative hypotheses. ... Reject the null hypothesis as the test statistic is greater than the critical value ...

... cables are randomly chosen and tested, and their mean... Step by step method for computing test statistic for hypothesis testing, ANOVA and regression ...

...Test the hypothesis at the .05 significance level that the treatment means are equal. a. State the null hypothesis and the alternate hypotheses. ...

... Null and Alternative Hypotheses H0: H1: Significance Level ... you feel are applicable to this kind of testing. ... The null hypothesis is that the population means...

... (a) State the null and the alternate hypotheses. ... tailed test because we are testing µ1 <> µ2 ... F > 4.2565 Reject Null Hypothesis; Accept Alternative Hypothesis. ...

... step method for the calculation of testing of hypothesis... d. Write out the null and alternate hypotheses. ... p -Value 0.345784972 Do not reject the null hypothesis. ...

... 2. With an alpha of 0.01, test the null hypothesis that the three ...means are equal by doing the following: What are the null and alternative hypotheses? ...