Clark is interested in whether decorating for the holidays will influence his new family's perceptions of him. His thinking is that decorating may improve his cool image to his family, but it may also distract his family from thinking about him and decrease his cool image to his family. It is known from the prior years with Clark's old family that his average cool image rating was 35, and the standard deviation was 11. The new family consists of 51 people who are asked to rate Clark's coolness after seeing the decorations. The average score of the new 51 family members was 47. What is the point estimate of the population mean score for the new family members who saw Clark's decorations?

Based on the point estimate, what is the effect size for Clark's coolness using decorations?

At the beginning of the day, stock xyz opened at $6.12. at the end of the day, it closed at $6.88. what is the rate of change of stock xyz? a. 1.17% b. 11.0% c. 12.4% d. 81.5%

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above