184. Michael and Lorenzo both took the same calculus test. Mi- chael scored an 87 on the test. Lorenzo's test paper only had the z score of his grade which was +1.2. The instructor gave Lorenzo the following information about the distribution of test grades: the mean test grade is 76 and the standard devi- ation is 15. Who had the higher grade, Michael or Lorenzo?

Joselyn hopes to receive a grade of B or better in her statistics class. Currently she has scored 75, 83, and 81 on her three in-class tests and also has a homework average of 88. Her professor calculates the class grade by finding the mean of five grades: three in-class tests, the homework average and the final exam. What is the minimum score Joselyn must earn on the final exam to have a class grade (mean) of 80? A. 67 B. 95 C. 70 D. 73

Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 40 40 41 43 49 48 45 48 Left 37 36 41 43 48 46 46 43 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Họ: pd vV (please enter a decimal) Select an answer v H1: ud vv (Please enter a decimal) Select an answer v b. The test statistic t v- (please show your answer to 3 decimal places.) c. The p-value = (Please show…

Last semester, Bonnie took a different Biology teacher than her friend Tony. After the final exam, they compared test scores. Bonnie earned an 83 (mean = 75.6, sd = 5), and Tony earned an 87 (mean = 80.3, sd = 7). Who did better? Why?

th Last year over 8000 students took an entrance exam at a certain state university. Tom's score was at the 55 percentile. Leila's score was at the 86 percentile. (a) Which of the following must be true about Tom's and Leila's scores? O Tom scored higher than Leila. O Both Tom and Leila scored higher than the median. O Leila answered 31 more questions correctly than Tom. O Tom's and Leila's scores were both in the bottom half of all scores. (b) Which of the following must be true about Tom's score? O Tom scored lower than about 55% of the students who took the exam. O Tom got about 55% of the questions correct. Tom scored higher than about 55% of the students who took the exam. Tom got about 55% of the questions wrong. Submit Assignme Continue iert 144 %23 4. 6. 8 R Y U H K L A. D paus V. B M alt ctri alt USE YOUR Dew de LL

A student has an average of 81 on four equally weighted tests she has taken in her statistics class. What grade must she receive on her fifth test if she needs an average score of 83? Answer is 91? Can you help me to explain to me step by step?

The low temperatures in the Town of Rigby for 5 conservative days were -12, -17,-11,-12,-18 what was the mean low temperature for five days

I need help with the first question:   Find the z-score value associated with a guess of 38.

Match these values of r with the accompanying scatterplots: - 0.994, 0.76, 0.994, - 0.374, and - 0.76. Click the icon to view the scatterplots. Match the values of r to the scatterplots. i Scatterplots Scatterplot 1, r= Scatterplot 2, r= Scatterplot 3, r = Scatterplot 1 Scatterplot 2 Scatterplot 3 Scatterplot 4, r= 8- 8- 8- Scatterplot 5, r = 6- 6- 6- > 4- 4- 4- 2- 2- 2- 0+ 0- 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 Scatterplot 4 Scatterplot 5 8- 6- -2- -4– > 4- -6- 2- -8- 04 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 X of of of of of

3. More types of variables and data Independent and Dependent Variables Many statistical experiments explore relationships between variables. In some cases, one variable (known as independent) predicts another variable (known as dependent). In some cases, several independent variables predict a single dependent variable. In graphical terms, Independent variables are plotted on the X-axis while dependent variables are on the Y-axis. Relationships Between Variables If two variables are distributed consistently, we conclude that a relationship exists. However, you must be careful how you characterize this relationship. Are the variables merely correlated, or is there a causal relationship (that is, one variable causes the other)? Check Your Understanding Identify whether each of the following variables is a nominal, ordinal, discrete, or continuous variable. Variable of interest Eye color Average speed driven Sale price of a car Number of cars sold Survey response (Strongly disagree,…