Cumulative Exam — Cumulative exam Answers

Rhonda manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table below. Which statement about the samples is true?Duck Pond SamplesSample 1Sample 2Mallard19Mallard38Wood Duck3Wood Duck1Green Wing Teal10Green Wing Teal1American Widgeon8American Widgeon0

The mass, Q, of a sample of Tritium (a radioactive isotope of Hydrogen), decays at a rate of 5.626% per year. Given a quantity of 726 grams, determine the graph that best models the decay of this radioactive substance. a. c. b. d. Please select the best answer from the choices provided

A professor wants to determine information about the Internet usage of middle school students in one state. A sample of 500 boys and girls from middle schools across the state were asked, “How do you access the Internet when you are not at school?” Which best explains why the sample can be used to determine statistics that apply to the population?

What is the value of ?

Which survey is most likely affected by bias?

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

You have just graduated from college and purchased a car for $6000. Your credit limit is $24,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 14%. Use the table feature on your graphing calculator to determine how much you will owe after 3 months..a.$9075.54c.$35,557.06b.$36,302.15d.$8889.26

A set of data is normally distributed with a mean of 86 and a standard deviation of 1.5. What percent of the data is in the interval 86–87.5?a.68.3%c.34.15%b.47.75%d.49.85%

A set of data is normally distributed with a mean of 52 and a standard deviation of 5. What percentage of the data is in the interval 47-57? a.33.3%c.87.0%b.68.3%d.91.2%

Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample?

Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. Their responses are shown in the table below.National ParksFavorite ParkNumber of StudentsAcadia19Carlsbad Caverns14Rocky Mountain30Grand Canyon23Yosemite14Using proportional reasoning, about how many students out of the 1,500 would you expect to pick Yosemite for their favorite national park?

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

An object falls from a window. The distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. The object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. Assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds?

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

Julia surveyed twenty households on her street to determine the average number of children living in each household. The tables below represent the collected data and a randomly selected sample from the population. Compare the mean of the population with the mean of the sample. Population Data03313222543330120233Sample Data53024What is the difference between the mean of the sample and the mean of the population?

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water. Which student has the method that is most representative of the school’s population?

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

Which of the following is the inverse of ?

The scores of a high school entrance exam are approximately normally distributed with a given mean = 82.4 and standard deviation = 3.3. What percentage of the scores are between 75.8 and 89?