Exam 10: Statistics and Probability

Find the mean. Round to the nearest tenth. -

Identify whether the average described is a mean, median, or mode. -A college receives 300 applications for financial aid. The applications are sorted into three equal groups according to income. Those with the highest incomes will not receive aid. Those with the lowest incomes will Receive the most aid and those with average incomes will receive a small amount of aid.

Solve the problem. -A and B are events in a sample space S such that P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.14. Are events A and B independent?

Solve the problem. -The table shows the total amount of precipitation (in inches) in a certain US city in 16 different years. Find the range.

Find the weighted average. -Michael gets test grades of 72, 77, 81, and 87. He gets a 96 on his final exam. Find the weighted mean if the tests each count for 10% and the final exam counts for 60% of the final grade. Round to one decimal place.

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event. -Exactly 4 heads

Identify the following as an experiment or an observational study. -In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. The first group received a blood pressure medication, the second group received a placebo, and the Third group received no treatment. The change in blood pressure over a two-month period was recorded for Each participant.

Find the probability of the event. -If two 6-sided dice are rolled, what is the probability that the sum is 5?

Identify the following as an experiment or an observational study. -The correlation coefficient for the data shown in the scatter plot is close to -1 so the slope of the regression equation that goes through the points will be close to -1.

Find the probability. -The maker of a certain candy claims that the proportions of colors of candy produced are: 0.1 red, 0.1 blue, 0.1 green, 0.1 purple and 0.6 yellow. Suppose a candy is selected randomly from each of two newly-opened Bags. What is the probability that neither will be red?

Identify whether the number described is a parameter or a statistic. -In a sample of 80 women aged 60-65, the average number of hours worked per week outside the home was 19.

Solve the problem. -On a multiple choice test with 12 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Solve the problem. -A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.21, and P(A and B) = 0.11. Use a Venn diagram to find the probability that A occurs but B does not.

Identify whether the average described is a mean, median, or mode. -The average number of goals scored by Anna's soccer team in the past 9 games is 1.2.

Identify the following as an experiment or an observational study. -To determine how satisfied its clients are with its facility, a health club sends out surveys to all of its members asking them to rate various aspects of the club.

Solve the problem. -The star of the college basketball team has a 70% foul shooting average. If the player attempts 5 foul shots in a game, what is the probability that they will make at least 4 foul shots?

Solve the problem. -According to City High School's alumni records, 425 students graduated in 2001. Of these graduates, 178 were female, 140 of whom were accepted into college. Of the male graduates, 95 were accepted into college. What is The probability that a 2001 graduate of City High School was accepted into college?

Solve the problem. -Suppose that there is a lottery that cost $1 to play. You must pick five digits in order from 0 to 9 and duplicates are allowed. If you win, the prize is $7000. What is the expected value of this lottery?

Solve the problem. -A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a Standard deviation of 50 seconds. The fitness association wants to recognize the fastest 10% of the boys with Certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition From the fitness association?

Identify the following as an experiment or an observational study. -The correlation coefficient for the data shown in the scatter plot is low, so Maura concludes that there is no significant mathematical relationship between the two variables.