Two samples of sizes 25 and 35 are independently drawn from normal populations,

Question

Two samples of sizes 25 and 35 are independently drawn from normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t test statistic is: 60 59 58 35 The statistical distribution used for testing whether two population variances are equal is the _____ distribution. F t z x^2 In testing whether the means of two normal populations are equal, summary statistics computed for two independent samples are as follows: Assume that the population variances are equal. What is the value of the test statistic you would use to test the claim that the two means are not equal? 1.697 1.611 1.553 1.319 A survey done six months ago indicated, of a sample of 1 100 registered voters, that 58% would support the current mayor. This month a second survey indicated that 48 1/2% of the 800 voters surveyed would now support the mayor. What is the value of the test statistic to test the claim that support for the mayor has decreased in the months between the first and the second survey? -4.09 -4.10 - 4.14 -4.41

Explanation / Answer

2.) Answer (c) 58

Reason since this is a two sample t-test with equal variances, the degrees of freedom = n1 + n2 - 2

Where, n1 = size of first sample

n2 = size of second sample

So, degrees of freedom = 25 + 35 - 2

= 58

3.) Answer F distribution

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