STATS 2300 FINAL EXAM QUESTIONS ANSWERED CORRECTLY LATEST UPDATE 2026

STATS 2300 FINAL EXAM QUESTIONS ANSWERED CORRECTLY LATEST UPDATE 2026 A magazine publisher always mails out a questionnaire six months before a subscription ends. This questionnaire asks its subscribers if they are going to renew their subscriptions. On average, only 55% of the subscribers respond to the questionnaire. Of the 55% who do respond, an average of 4949% say that they will renew their subscription. This 55% who respond to the questionnaire are known as what? - Answers The sample In a poll of 50,000 randomly selected college students, 74% answered "yes" when asked "Do you have a television in your dorm room?" Identify the sample and population. - Answers Sample: the 50,000 selected college students; population: all college students A computer network manager wants to test the reliability of some new and expensive fiber-optic Ethernet cables that the computer department just received. The computer department received 44 boxes containing 2020 cables each. The manager does not have the time to test every cable in each box. The manager will choose one box at random and test 44 cables chosen randomly within that box. What is the population? - Answers 80 Cables The table below shows the number of homicides in the U.S. in each of the years 1989−1993. - Answers Descriptive A researcher randomly selects a sample of 100 students from the students enrolled at a particular college. She asks each student his age and calculates the mean age of the 100 students. It is 21.3 years. Based on this sample, she then estimates the mean age of all students enrolled at the college to be 21.3 years. In what way are descriptive statistics involved in this example? In what way are inferential statistics involved? - Answers When calculating the mean age of the students in the sample, the researcher is using descriptive statistics. When estimating the mean age of all students at the college, the researcher is using inferential statistics. Classify the data as either qualitative or quantitative. The table to the right gives the top five movies at the box office this week. What kind of data is provided by the information in the second column? (LAST WEEK - Numbers) - Answers Quantitative Classify the data as either qualitative or quantitative. The table to the right gives the top five movies at the box office this week. What kind of data is provided by the information in the third column? (Movie Title) - Answers Qualitative Classify the data as either qualitative or quantitative. The table to the right gives the top five movies at the box office this week. What kind of data is provided by the information in the fourth column? (Studio) - Answers Qualitative The data in the following table reflect the amount of time 40 students in a section of Statistics 101 spend on homework each day. Determine the value that should be entered in the relative frequency column for the class 15-29 - Answers 15-29 Number of Students=4 Relative Frequency = 0.1 A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive? - Answers 35% A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. Identify the midpoint of the third class. - Answers 125 A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. What common class width was used to construct the frequency distribution? - Answers 10 A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell-shaped, triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. Two dice were rolled and the sum of the two numbers was recorded. This procedure was repeated 400 times. The results are shown in the relative frequency histogram to the right. - Answers triangular A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell-shaped, triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. A frequency histogram is given below for the weights of a sample of college students. - Answers Bimodal (it had 2 little bell shape things) A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell-shaped, triangular, uniform, reverse J-shaped, J-shaped, right skewed, left skewed, bimodal, or multimodal. A stem-and-leaf diagram is given on the right for the ages of the patients at a hospital. - Answers Stem and Leaf - Most of the numbers were near the bottom close tp 9 - this makes it Left Skewed Census data on the percentage of adults in each region who have completed a bachelor's degree are provided in the accompanying table. Use technology to obtain the measures of center that are appropriate from among the mean, median, and mode. Discuss your results and decide which measure of center is most appropriate. Provide a reason for your answer. - Answers There is only one mode, Mean Median Mode - roughly equal - roughly symmetric - mean A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.) - Answers 3/5 A card is selected randomly from a deck of 52. The events A, B, and C are defined as follows. Aequals=event the card selected is a heart Bequals=event the card selected is a club Cequals=event the card selected is an ace Is the collection of events A, B, and C mutually exclusive? - Answers no. there is an Ace of Hearts The number of hours needed by sixth grade students to complete a research project was recorded with the following results. A student is selected at random. The events A and B are defined as follows. Aequals=event the student took at most 77 hours Bequals=event the student took at least 66 hours Are the events A and B mutually exclusive? - Answers No The age distribution of students at a community college is given below. A student from the community college is selected at random. The events A and B are defined as follows. Aequals=event the student is at most 3232 Bequals=event the student is at least 4040 Are the events (not A) and B mutually exclusive? - Answers Some how no. lol When two balanced dice are rolled, there are 36 possible outcomes. Use the general addition rule to find the probability that either doubles are rolled or the sum of the dice is 6. - Answers 5/18 Suppose that two balanced dice are rolled. Let Y denote the product of the two numbers. Use random dash variablerandom-variable notation to represent the event that the product of the two numbers is greater than 4. - Answers {Y4} Suppose that two balanced dice are rolled. Let Y denote the sum of the two numbers. Use random dash variablerandom-variable notation to represent the event that the sum of the two numbers is at least 11. - Answers {Yor equal to 11} The following table displays a frequency distribution for the number of siblings for students in one middle school. For a randomly selected student in the school, let X denote the number of siblings of the student. Use random-variable notation to represent the event that the selected student has fewer than two siblings. - Answers {X2} Suppose that A is a random variable. Also suppose that P(Ta)=P(T-a)=x, and that P(0Tor equal to a)=y. Find P(-aor equal to T orequal to 0) in terms of x and y. - Answers 1-2x-y The number of successes and the sample size are given for a simple random sample from a population. Decide whether using the one-proportion z-interval procedure is appropriate. - Answers Appropriate A manufacturer claims that the mean amount of juice in its 16 ounce16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are: H0: U = 16.1 ounces Ha: U 16.1 Ounces where muμ is the mean amount of juice in the manufacturer's 16 ounce16 ounce bottles Explain the meaning of a Type I error. - Answers A Type I error would occur if, in fact, muμequals=16.1 ounces, but the results of the sampling lead to the conclusion that muμless than16.1 ounces