Astudy was conducted in which students were asked to estimate the number of calories in a cheeseburger. one group was asked to do this after thinking about a calorie-laden cheesecake. a second group was asked to do this after thinking about an organic fruit salad. the mean number of calories estimated was 786 for the group that thought about the cheesecake and 1038 for the group that thought about the organic fruit salad. suppose that the study was based on a sample of 20 students in each group, and the standard deviation of the number of calories estimated was 126 for the people who thought about the cheesecake first and 148 for the people who thought about the organic fruit salad first. complete parts (a) through (d).a. state the null and alternative hypotheses if you want to determine whether the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first. let μ1 represent the mean number of calories estimated by the people who thought about the cheesecake first and μ2 represent the mean number of calories estimated by the people who thought about the organic fruit salad first. choose the correct answer below. a.h 0h0 : μ1 ≥μ2h1 : μ1< μ2b. h0 : μ1≠μ2h1 : μ1=μ2c. h0 : μ1=μ2h1 : μ1≠μ2d. h0 : μ1≤μ2h1 : μ1> μ2b. in the context of this study, what is the meaning of a type i error? a. a type i error is committed if one concludes that the mean estimate is significantly lower for the people who thought about the cheesecake when it is not significantly lower. 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 one concludes that the mean estimate is not significantly lower for the people who thought about the cheesecake when it is significantly lower. d. a type i error is committed if one rejects both the null and alternative hypotheses. c. in the context of this study, what is the meaning of a type ii error? a. a type ii error is committed if one concludes that the mean estimate is significantly lower for the people who thought about the cheesecake when it is not significantly lower. b. a type ii error is committed if one does not reject both the null and the alternative hypothesis. c. 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 one concludes that the mean estimate is not significantly lower for the people who thought about the cheesecake when it is significantly lower. d. assume the population variances are not equal. at the 0.010.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first? find the test statistic. tstat=(round to two decimal places as needed.)find the p-value. p-value=(round to three decimal places as needed.)state the conclusion of the test. reject or do not reject h0. there is insufficient evidence or evidence that the mean number of estimated calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad firs