Question

# Identify the test statistic (the formula, not a value) that should be used for testing the...

Identify the test statistic (the formula, not a value) that should be used for testing the following given claims.

(a) The mean of the differences between IQ scores of husbands and IQ scores of their wives is equal to 0

(b) The mean age age of female CIA agents is equal to the mean age of male CIA agents

(c) The proportion of left-handed men is equal to the proportion of left-handed women

(d) The variation among pulse rates of women is equal to the variation among pulse rates of men

A)The test used here is t test for difference of means

The formula is

t = [ (x1 - x2) - d ] / SE

where x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error and

SE = sqrt[ (s12/n1) + (s22/n2) ]

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, and n2 is the size of sample 2.

2)The test is t test for independent sample means

3)The test used here is z test for 2 proportions . The formula is z =

4) The test to be used here is F test for equality of two variances . The formula to be used is