A box is full of thousands of numbered tickets. It is believed that the average of all the tickets in the box is 30 with a SD of 10. To test the null hypothesis that the average is 30, we draw 100 tickets at random. The numbers on these 100 tickets average out to 29 with a standard deviation of 8. Round your values to three decimal places. If the null hypothesis is right, then the expected value of the average of 100 random draws from this box is . If the null hypothesis is right, then the standard error of the average of 100 random draws from this box is . The observed average is . The test statistic is . The P-value is approximately .

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --