Here are the summary statistics from the two random samples.
| sample size | sample mean | sample standard deviation | |
| Females | 50 | 98.4060 | 0.6557 |
| Males | 50 | 98.1100 | 0.6710 |
Test statistic: z∗=(x¯1−x¯2)s21n1+s22n2√
Compute the test statistic (round off your final answer to two decimal places) and input your answer below.
| female | male | ||
| x1 = | 98.4060 | x2 = | 98.1100 |
| s1 = | 0.6557 | s2 = | 0.6710 |
| n1 = | 50 | n2 = | 50 |
| standard error se=√(S21/n1+S22/n2)=sqrt(0.6557^2/50+0.6710^2/50) = | 0.1327 | ||
therefore test statistic (x1-x2)/standard error =(98.4060-98.1100)/0.1327 = 2.23
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