Independent samples ttest Work this second problem on

Independent samples t-test Work this second problem on your own and then review the key to check your answers. A psychologist hypothesizes that women will score, on average, higher than men on Allport’s Intrinsic Religious Orientation subscale. The subscale values can range from -16 to +16, with high values indicating an intrinsic religious orientation. The psychologist randomly samples 10 women and 10 men and administers the Religious Orientation scale. The data are reported below. Do they support the psychologist’s hypothesis? Use an alpha level of. 05 and work through the steps in NHST to address the psychologist’s question. Women: -2, -1, 7, -4, -10, 0, -4 Men: -1, 5, 7, 2, 1, -1, 6, 8, 5, 4

Pop 1 : Women Pop 2 : Men µW = ? σW = ? µM = ? σM = ? (but, assumed equal to σW) I entered the data into my calculator to compute the means, std devs, and variances for the two groups. Women Ho : µW = µM HA : µW > µM *predicted or µW < µM Men

-2. 101 α = pcrit =. 05, df = n 1 + n 2 – 2 = 10 + 10 – 2 = 18 tcrit = ± 2. 101

Reject H 0; Statistically significant Based on means, conclude µW < µM It appears that, opposite of prediction, the population intrinsic religious orientation mean for women is lower than the population mean for men. https: //surfstat. anu. edu. au/surfstat-home/tables/t. php Be sure to enter the absolute value of t_ob (3. 39) into the calculator. -3. 13 pobs =. 0029 * 2 =. 0058 (which is less than . 05; again, the result is statistically significant. We have a statistical effect here. )

This is a huge effect using Cohen’s Conventions. Again, this is a huge effect using Cohen’s Conventions.