How Can you Use Statistics
Statistical Methods
How Can you Use Statistics
An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Please, post a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer. Read several of your classmates’ postings. Do you agree that statistics are necessary to answer their questions? Is their question one that you would also like to have an answer to? Why or why not?
STA2023 Statistical Methods
Discussion 2
Looking at Statistics
The internet is host to a wealth of information and much of that information comes from raw data that have been collected or observed.
Many websites summarize such data using graphical methods discussed in this chapter.
Find a website related to your major that summarizes data and uses graphs, and share it with the class. Let us know how it relates to your major and why it is of interest to you.
STA2023 Statistical Methods
Discussion 3
Standard Deviation
In one sentence, please write what you understand by the term standard deviation.
STA2023 Statistical Methods
Discussion 4
What was the muddiest point in this module? (The word muddiest means not clear or most confusing.)
STA2023 Statistical Methods
Discussion 5
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them. For example, you may decide to throw a basketball to try to win a $10 bear. You paid $2.00 for three shots. What is the expected value? (Please do not use this example in your answer)
STA2023 Statistical Methods
Discussion 6
In one sentence, summarize what you understand of the Central Limit Theorem.
STA2023 Statistical Methods
Discussion 7
Go to a local library; collect a sample of books consisting of the ages of book (based on copyright dates). Plan and describe the sampling procedure, then use the results to construct a confidence interval estimate of the mean age of all books in the library. Please, post and share your results with the class.
STA2023 Statistical Methods
Discussion 8
Use the mean and the standard deviation obtained from the last module and test the claim that the mean age of all books in the library is greater than 2005. Share your results with the class.
STA2023 Statistical Methods
Test 1
Question 1Provide an appropriate response.
The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Find the class boundaries for class 80.0-110.9.
Question 2Determine which score corresponds to the higher relative position.
Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4?
Question 3 Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.
The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.
Question 4Provide an appropriate response.
The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the width of each class.
Question 5 Use the empirical rule to solve the problem.
The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg?
Question 6Solve the problem. Round results to the nearest hundredth.
Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to a z-score.
Question 7Find the median for the given sample data.
The weights (in ounces) of 21 cookies are shown. Find the median weight.
0.88 1.29 0.76 1.62 0.72 0.81 1.20
1.29 1.53 0.91 0.88 1.48 1.17 0.64
0.47 1.48 0.81 1.17 1.72 0.72 0.56
Question 8 Find the mode(s) for the given sample data.
7.35 7.41 7.56 7.35 7.88 7.99 7.62
Question 9 Use the data to create a stemplot.
The attendance counts for this season’s basketball games are listed below.
227 239 215 219
221 233 229 233
235 228 245 231
Question 10Find the mean of the data summarized in the given frequency distribution.
The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place.
Question 11 Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.
22.6 16.1 36.1 36.0 23.8 20.3
Question 12 Provide an appropriate response.
The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the class midpoint for class 235.0-265.9.
Test 2
Question 1Provide a written description of the complement of the given event.
Of the thirteen different women Calvin asks for a date, at least one of them accepts.
Question 2 Find the indicated probability.
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction.
Question 3 Find the indicated probability.
A 6-sided die is rolled. Find P(3 or 5).
Question 4Solve the problem.
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?
Question 5Find the indicated probability.
The data set represents the income levels of the members of a country club. Find the probability that a randomly selected member earns at least $77,000. Round your answers to the nearest tenth.
Question 6 Evaluate the expression.
Question 7 From the information provided, create the sample space of possible outcomes.
Flip a coin three times.
Question 8 Event B dependent or independent of Event A?
A: You cook your chicken improperly.
B: You get salmonella poisoning.
Question 9Find the indicated probability.
The table below describes the smoking habits of a group of asthma sufferers.
If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker.
Question 10Find the indicated complement.
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.428. Find the probability that in a given year it will not snow on January 1st in that town.
Question 11Find the indicated probability.
A study conducted at a certain college shows that 65% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary.
Question 12Find the indicated probability. Round to the nearest thousandth.
In a batch of 8,000 clock radios 2% are defective. A sample of 11 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?
Question 13Determine whether the events are disjoint.
Read a book by Mark Twain.
Read about Tom Sawyer.
Question 14Find the odds against correctly guessing the answer to a multiple choice question with 6 possible answers.
Question 15 Solve the problem.
How many ways can an IRS auditor select 3 of 9 tax returns for an audit?
Test 3
Question 1 Provide an appropriate response. Round to the nearest hundredth.
A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.46, 0.41, 0.09, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.
Question 2 Find the mean, μ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.
n = 676; p = 0.7
Question 3 Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Choosing 4 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen.
Question 4 Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
n = 64, x = 3, p = 0.04
Question 5Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
Image: Test 3 – Probability Distribution
Question 6 Identify the given random variable as being discrete or continuous.
The height of a randomly selected student
Question 7 Find the mean of the given probability distribution.
The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled.
Question 8 Find the indicated probability. Round to three decimal places.
A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
Question 9 Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 48; p = 3/5
Question 10 Find the indicated probability.
A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
Question 11Provide an appropriate response.
A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?
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