Final Exam Review Questions Solutions Guide You will probably want to PRINT THIS so you can carefully check your answers. Be sure to ask your instructor if you have questions about any of the solutions given below. 1. Explain the difference between a population and a sample. In which of these is it important to distinguish between the two in order to use the correct formula? mean; median; mode; range; quartiles; variance; standard deviation. Solution: A sample is a subset of a population. A population consists of every member of a particular group of interest. The variance and the standard deviation require that we know whether we have a sample or a population. 2. The following numbers represent the weights in pounds of six 7year old …show more content…
Explain mathematically. Solution: (a) The total number of transfer students is 270. The total number of students in the survey is 500. P(Transfer) = 270/500 = .54 (b) The total number of part time students is 210. The total number of students in the survey is 500. P(Part Time) = 210/500 = .42 (c) From the table we see that there are 100 students which are both transfer and part time. This is out of 500 students in the sample. P(transfer ∩ part time) = 100/500 = .20 (d) This is conditional probability and so we must change the denominator to the total of what has already happened. There are 100 students which are both transfer and part time. There are 210 part time students. P(transfer | part time) = 100/210 ≈ .4762 (e) P(part time | transfer) = 100/270 ≈ .3704 (f) The definition of independent is P(A|B) = P(A). To test we ask if P(part time | transfer) = P(part time)? Is .3704 = .42? No, there for the events are not independent. We could also test P(transfer | part time) = P(transfer). Is .4762 = .54? Again, the answer is no. (g) For events to be mutually exclusive their intersection must be 0. In part c we found that P(transfer ∩ part time) = 100/500 = .20. Therefore the events are not mutually exclusive. 11. A shipment of 40 television sets contains 3 defective units. How many ways can a vending company can buy five of these units and receive no defective units?
Solution: There are 37 sets which are not defective. There are
f) To find the probability of each of these answers you would start by dividing the possible successful outcomes by the total number of possible outcomes. In the example E, the question asked for anyone except an administrator, therefore, taking the total amount of people minus the administrator will give you a category for those you want to have picked. After that, you would continue as if you had the successful possibilities divided by all possible
4. Calculate the following measures of central tendency for the set of cube measurement data. Show your work or explain your procedure for each.
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate Statistics. This data is available on the student website under the Student Test Resources link.
We also assume that there are 20\% more girls than boys in a class. Assume that there are 70 learners in a class, then 20\% of 70 is 14, let $b$ be the number of boys, then there are $b+14$ girls in the class. Now $b + 14 + b = 70$ implies that $b = 28$ and there are 42 girls in the class. Therefore this means 60\% of the class are girls and 40\% are boys. I didn't give a reason for number 10) because I wanted to make some assumptions and state the problem correctly. This problem was giving me a stress because I could not figure it out. Number 8) was not clear for me because I could not understand if this 10\% we talking about is for the whole class or is for the number of boys. These are kinds of problems which will enable learners to understand the meaning of percentage and ratios. They are challenging and consuming time. It was not going to be easy to figure them out if I wasn't using the equations. In this activity, I learn much more on percentages and
7. The data set for this problem can be found through the Pearson Materials in the Student Textbook Resource Access link,
4. a) An example of statistics is the statement “Between the ages of 15 and 24, they take their lives five times as often.”
“1. The researchers analyzed the data they collected as though it were at what level of measurement? (Your choices are: Nominal, Ordinal, Interval/ratio, or Experimental)”
Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of
Complete the Questions to be Graded on pages 121-122 and submit as directed by the instructor. In order to receive full credit on calculated answers, please show your work. (Use Word 's equation editors, etc., and/or provide a short written description as to how you obtained the final result.) Descriptive Statistics Excel Worksheet 40.0 Answer the questions on the "Descriptive Statistics Excel Worksheet." Module 1 DQ 1 5.0
Before we have those chit-chats about Simple Correlation Analysis, let me define first what correlation is and its features. What is Correlation? Correlation is a measure of the relation between two or more variables. The measurement scales used should be at least interval scales, but other correlation coefficients are available to handle other types of data. Correlation coefficients can range from -1.00 to +1.00. The value of -1.00 represents a perfect negative correlation while a value of +1.00 represents a perfect positive correlation. A value of 0.00 represents a lack of correlation. Correlations are very useful because they can indicate a predictive relationship that can be exploited in practice. For example, an electrical utility may produce less power on a mild day based on the correlation between electricity demand and weather. In this example there is a causal relationship, because extreme weather causes people to use more electricity for heating or cooling; however, statistical dependence is not sufficient to demonstrate the presence of such a causal relationship (i.e., Correlation does not imply causation). Correlation often is abused. You need to show that one variable actually is affecting another variable. The parameter being measure is ρ (rho)
WEEK 9 TUTORIAL EXERCISES (To be discussed in the week starting May 6) 1. Perform the following hypothesis tests of the population mean. In each case, illustrate the rejection regions on both the Z and
Probability and Statistics, Midterm Nov. 3, 2011 Instructions. The exam is from 3:40-5:30. Simplify your answer as much as you can, for instance, x 1 x+1 should be simpli…ed to x 1: But the answer does not need to be numbers if the caculation is complicated, e5 for example, you can leave 20! in your answer. 1. (30 points) (a) One of three students, A, B and C, will get the prize for being the "best student in Probability and Statistics". The night before the prize is announced, student A …nds the professor and asks, "No matter I get the prize or not, we know that at least one of B and C does not get it. Would you please tell me one of them who does not win it? I’ like to prepare a gift for her." The professor refuses, d "No, I cannot give
Furthermore, we must ensure that there are two different measures when computing descriptive statistics, one should be of central tendency and one of dispersion. Moreover, there are three common measures of central tendency that are listed as the mean, median, and mode, and one less
(ii) Sample 4 has the highest median weight, followed by Sample 2, and then Samples