1. ANOVA is used to compare A. Means of two groups B. Standard deviations of sev

Question

1. ANOVA is used to compare A. Means of two groups B. Standard deviations of several groups C. Variances of several groups D. None of above 2. Following is the output of a two-sample hypothesis test generated f two populations' variances are equal. Hypothesis Test for Two-sample Means Population1 Population 2 Mean Sample Variance Observations 4.08 15.00 17 4.14 16.00 10 The critical value for a two-tailed test comparing the means at ?-O A. 1.708 B. 2.262 C. 2.060 D. 2.052 3. In an ANOVA, when would the F test statistic be zero? A. When there is no difference in the variances B. When the treatment means are the same C. When the observations are normally distributed D. None of above 4. Which is not an assumption of an ANOVA? A. Independent sample observations B. Normality of the population . Equal variances . Equal sample sizes

Explanation / Answer

Ans:

1)Option A is correct.

A one way ANOVA is used to compare two means from two independent (unrelated) groups using the F-distribution. The null hypothesis for the test is that the two means are equal. Therefore, a significant result means that the two means are unequal.

2)For two sample t-test,when population variance are equal:

df=17+10-2=25

significance level=0.1,critical t value (2 tailed)=tinv(0.1,25)=1.708

significance level=0.05,critical t value (2 tailed)=tinv(0.05,25)=2.060

3)

F=MS(between groups)/MS(within groups)

if F=0,p-value will be very large,we fail to reject null hypothesis,which means that treatment means are equal.

So,Option B is correct.

4)Option D is correct(Equal sample sizes)

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