Basic Statistics > A Level Question Paper > Sophia Foundations of Statistics Unit 2 Milestone 2. (All)
Clarice was in the process of creating a report on the performance of her students and was trying to determine the z-score related to overall student scores. If the mean percentage of students was 7... 5% and the standard deviation was 10%, what z-score would correspond to a student that ended the course with a 95%? 1 3 -3 2 -2 -1 RATIONALE 4/21/2020 Sophia :: Welcome https://www.sophia.org/spcc/foundations-of-statistics-2/milestone_take_feedbacks/2332594 2/16 Remember the formula for z-score is: For this problem these values are as follows: Plugging these values into the formula for a z-score gives the following: CONCEPT Calculating z-Scores 2 Irin was conducting some tests to determine if there was a relationship between consumption of diet soda and weight loss. Her null hypothesis was that diet soda does not play any role in weight loss, and her alternate hypothesis was that diet soda causes an increase in weight. If Irin completed her study, which of the following statements would indicate a Type I error? Testing indicates that diet soda causes weight gain when in reality there is no relationship between the two. Testing indicates that diet soda and weight are related, while in reality there is no relationship between diet soda consumption and weight gain. Testing indicates that diet soda consumption and weight gain are related, but not in the way Irin originally thought. Testing indicates that a subject's weight affects his/her diet soda consumption, not the other way around. RATIONALE Recall that Type I error is a false negative or when we reject the null hypothesis when it is true. In this case, if we determined that the diet soda did not cause weight gain when it really did, that would be a Type I error. [Show More]
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