Exam 10: Statistics and Probability

Find the weighted average. -A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places.

Solve the problem. -A student is taking a standardized test consisting of multiple choice questions for which there are five options for each question. Four points are awarded for each correct answer, but the student loses 2 points for an Incorrect answer. Questions left blank neither receive nor lose points. Is it in the student's best interest to guess?

Find the mean for the given sample data. -Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. Round your answer to two decimal Places.

Find the mean. Round to the nearest tenth. -

Determine the five-number summary of the given data. -The weekly salaries (in dollars) of sixteen government workers are listed below.

Find the mean for the given sample data. -Frank's Furniture employees earned the following amounts last week: $283.60 $451.20 $200.19 $424.90 $512.75 $294.88 $260.46 $358.72 $240.70 What was the mean amount earned by an employee last week? Round your answer to the nearest cent.

Solve the problem. -The distribution of B.A. degrees conferred by a local college is listed below, by major. What is the probability that a randomly selected degree is not in Mathematics?

Find the mean for the given sample data. -Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. 53 62 61 51 65 58 60 51 53

Determine the five-number summary of the given data. -The test scores of 15 students are listed below.

Find the probability. -A 5-card hand is dealt from a deck of 52 cards. What is the probability that 3 cards are queens and two are kings?

Identify the following as an experiment or an observational study. -A researcher wished to assess the importance of exercise in weight-loss programs. The participants in a study were randomly assigned to one of two groups. Over a two-month period, the first group followed a particular Diet but performed no exercise other than walking. The second group followed the same diet but also Performed aerobic exercise for one hour each day. At the end of the two months, it was found that the average Weight loss for the second group was significantly greater than the average weight loss for the first group.

Identify the following as an experiment or an observational study. -A researcher obtained a random sample of smokers aged between 60 and 70 and a random sample of nonsmokers aged between 60 and 70. She compared the rates of arthritis for the smokers and for the Nonsmokers.

Identify the following as an experiment or an observational study. -A newspaper holds a contest and asks readers to send in their answers to a set of questions. 105 people answer all questions correctly. Of these, 10 will be selected at random to win a trip to Hawaii. The 105 people are listed in alphabetical order. An assistant starts with the first name and rolls a fair die. If the die comes up 6, that person will be selected. If it doesn't come up 6, the assistant moves on to the next person. Once 10 people have been selected, the assistant stops.

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -At least one head

Find the mean for the given sample data. -The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 614 598 353 354 541 355 340 539 470 482

Solve the problem. -The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 3. Find the mean for the number of seeds germinating in each batch.

Identify the following as an experiment or an observational study. -A researcher wishes to survey a random sample of high school teachers within a certain school district. There are 77 high schools in the school district. She lists the schools alphabetically and uses the calculator command "randInt(1, 77, 5)" to pick five numbers between 1 and 77. She visits the five schools corresponding to those numbers and interviews all teachers at each of the five schools.

Solve the problem. -A and B are events in a sample space S such that P(A) = 0.2, P(B) = 0.7, and P(A and B) = 0.14. Are events A and B independent?

Find the median for the given sample data. -The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period. 27 29 27 30 30 27 32 29 37 33 33 31 26 33 27 22 17 29 29 29

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -Heads on all eleven dimes