The distribution of test scores for two random samples of students is shown in the stem-and-leaf plots. Group A 5 8 6 3 8 7 2 3 5 5 6 8 0 2 4 5 5 5 7 7 9 1 3 4 5 6 7 7 8 8 8 9 10 0 0 0 Key: 5|8 represents 58    Group B 5 4 7 6 2 3 7 7 1 1 2 3 5 6 7 8 8 8 8 2 2 3 3 3 4 4 5 7 9 9 1 2 8 10 0 0 Key: 5|4 represents 54 Part A: Calculate the mean, median, range, and interquartile range for each data set.  Part B: Using the appropriate measures, compare the center and variability of the two groups of students. Explain your reasoning based on the shapes of the distributions.

...The data represents the amount of money students. This is a random (Rands, R) spent on extra-curricular activities for University sample for the 8th week of first trimester. 12,87 17,5 6,29 14,59 10,05 19,25 6,74 11,38 13,45 18,75 8,1 3,25 9 9,9 16,01 8,31 6,5 13,8 9,87 4,95 9,5 7,14 10,41 12,8 32,09 7,25 4,32 14,73 8,59 20,35 13,57 9,18 8,84 18,24 11,79 16,91 6,48 12,93 7,25 13,02 6,5 9,65 22,68 12,45 Note 1: As a researcher, and for a better statistical measurement in reflection of the conventional steps to determining the frequency distribution table, you decide to reduce the lowest data observation by 1.25 and increases the highest by 1,91. This to observe a comprehensible data Range. 27,43 5,74 17,95 24,1 Draw accumulative frequency and histogram for this data with 7 class/ intervals 6,63 15,9

7. Pepperoni pizza Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the number of pepperonis on each pizza: 47 36 25 37 46 36 49 32 32 34 The sample mean for these data is X The dotplot shows the distribution of the sample mean number of pepperonis for 500 random samples of size 10 taken with replacement from the original sample. 30 الس. = 37.4 pepperonis.20 35 40 Simulated sample mean number of pepperonis Distribution of simulated mean # samples 500 (b) Interpret the margin of error. ... mean 37.481 45 SD 2.127 (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean number of pepperonis on a large pizza from this restaurant.

A sales analyst wants to determine whether there is a difference in the mean monthly sales of a company's four sales regions. Several salespersons from each region are randomly selected and they provide their sales amount (in thousands of dollars) for the previous month. Using a 1% significance, can we conclude at least one region is different on average? North East South West 27 28 16 26 38 23 22 29 19 | 17 16 26 29 25 25 34 26 23 What is the factor variable? Region What is the response variable? Sales Amount Test statistic: P-value:

Mrs. Cunan introduced a Gallery Walk Technique in her Science class. He gave a pretest and posttest to her 20 students and gathered the following data: Student Pretest (x1) Posttest (x2) 1 10 15 2 30 35 3 15 25 4 15 25 5 20 20 6 10 20 7 18 22 8 14 20 9 15 20 10 20 15 11 18 30 12 15 10 13 15 16 14 20 25 15 18 15 16 40 45 17 10 15 18 10 10 19 12 18 20 20 25     At .05 level of significance, is the Gallery Walk Technique effective?    Follow the steps in hypothesis testing.                     Answer the following.     Problem # ________ What is the appropriate statistical test to use? _______________________________________  _____________________________________________________________________________ State Null Hypothesis: _________________________________________________________…

A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the previous year. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.