Which expressions are equivalent to the one below? check all that apply. log7 1• log5 25

a. 5•7

b. 2•log7 7

c. 1

d. 0

Anormally distributed data set has a mean of 176.3 and a standard deviation of 4.2. what is the approximate z-score for the data value of 167.9? 2.00 −2.00 8.4 −8.4

What is the volume of a cardboard box that measures 1 inch by 5 inches by 7 inches? the volume of the cardboard is cubic inches. enter your answer as the number that correctly fills in the blank in the previous sentence. if necessary, round your answer to the nearest tenth, like this: 42.5

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: