Assume that you have a sample of n1=8, with the sample mean X1=47, and a sample standard deviation of S1=7, and you have an independent sample of n2=17 from another population with a sample mean of X2=37 and the sample standard deviation S2=6. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing H0:1=2 ? tSTAT= (Round to two decimal places as needed.) first and 150 for the people who thought about the organic fruit salad first. Complete parts (a) through (e) below. B. A Type I error is committed if the null hypothesis is rejected but the mean estimate is significantly lower for the people who thought about the cheesecake. C. A Type I error is committed if the alternative hypothesis is rejected but the mean estimate is not significantly lower for the people who thought about the cheesecake. D. A Type I error is committed if one concludes that the mean estimate is not significantly lower for the people who thought about the cheesecake when it is significantly lower. c. In the context of this study, what is the meaning of a Type II error? A. A Type II error is committed if the null hypothesis is rejected but the mean estimate is not significantly lower for the people who thought about the cheesecake. D. A Type II error is committed if the alternative hypothesis is rejected but the mean estimate is significantly lower for the people who thought about the cheesecake. thought about the organic fruit salad first? Find the test statistic. tSSTA= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.).