Fluent Essays

This is all of my stats homework. Can you get it done?STATISTICS: THE NORMAL DISTRIBUTION 1. A 12oz can of soda has a mean volume of 12 oz with a standard deviation of 0.20 oz. How common are cans with a volume of 11.4 oz? Justify your reasoning. 2. Given a population µ = 125 and s =25, how common are values in the 150 to 200 range? Justify your reasoning. 3. A full-grown male dog has a mean weight of 54.5 lbs with a standard deviation of 6.5 lbs. How common are male dogs of the same breed in the 48 - 61 lb range? Justify your reasoning. 4. Given a population µ = 0.0025 and s =0.0005, how common is a value of 0.0040? Justify your reasoning. _1493462494.unknownSTATISTICS: THE ADDITION RULE Smallville High School has an enrollment of 2200 students. Of these, 615 are seniors and 1180 are males. Of the seniors, 325 are males. 1. Are the events “selecting a male student” and “selecting a senior” mutually exclusive? Why or why not? 2. If a Smallville High School student is selected at random, find the probability that the student is a male or a senior. Be sure to include work for full credit. A card is selected at random from a standard deck of cards. State whether or not the events are mutually exclusive and then calculate the probability. Be sure to include work for full credit. 3. Selecting a heart or 6. Mutually Exclusive? Probability 4. Selecting a red suit or a jack. Mutually Exclusive? Probability You roll a single die. State whether or not the events are mutually exclusive and then calculate the probability. Be sure to include work for full credit. 5. Rolling a 6 or a number greater than 4. Mutually Exclusive? Probability 6. Rolling a 5 or an even number. Mutually Exclusive? ProbabilitySTATISTICS: BASIC PROBABILITY State whether the statement is an example of theoretical probability or experimental probability. Justify your reasoning. 1. According to company records, the probability that a TV will need repairs in a ten-year period is 0.08. 2. The probability of choosing six numbers between 1 and 40 that match the six numbers drawn in the lottery is 1 in 3,838,380. Calculate the probability of each event. Be sure to include work for full credit. 3. Find the probability of selecting an even number between 1 and 15. 4. Find the probability of selecting a number divisible by 4 between 1 and 50. 5. Find the probability of drawing an Ace from a standard deck of playing cards. 6. Given a bag containing 6 red marbles, 3 green marbles and 5 yellow marbles, find the probability of not selecting a green marble. 7. Find the probability of not drawing a King from a standard deck of playing cards.STATISTICS: THE CENTRAL LIMIT THEOREM 1. 128 students were asked how much they spent on a movie ticket at the movie theater. The national average amount spent on a ticket at the movie theater is $14 with a standard deviation of $6. What is the probability that the random sample of students will give a result within $0.01 of the true value? 2. The average number of students per classroom is 35, with a standard deviation of 5. If 44 classrooms were sampled, how likely is it that the sample averaged fewer than 33.5 students? 3. The average number of text messages sent per day is 30 with a standard deviation of 10. If 117 people are surveyed, what is the probability that the sample sends less than 30.92 text messages per day?STATISTICS: DESCRIPTIVE STATISTICS EXAM A consumer testing service obtained the following miles per gallon in five test runs performed on three types of mid-size cars. RUN 1 RUN 2 RUN 3 RUN 4 RUN 5 MODEL A 28 32 28 30 34 MODEL B 31 29 31 29 31 MODEL C 29 32 28 32 30 1. The manufacturer of Model A wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning. 2. The manufacturer of Model B wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning. 3. The manufacturer of Model C wants to advertise that their car performed best on this test. Which measure of center (arithmetic mean, median or mode) should they use in their claim? Justify your reasoning. The data below represents the number of minutes a sample of 25 people exercise each week. 25 people were asked, “How many minutes do you spend exercising each week?” The results of the survey are below. 108 139 120 123 120 132 123 131 131 157 150 124 111 101 135 119 116 117 127 128 139 119 118 114 127 4. Construct an expanded frequency table using five classes. You may copy/paste the symbols below for use in your distribution. 5. Display the data using a frequency histogram and a frequency polygon on the same axes. 6. Display the data using a relative frequency histogram. 7. Describe the shape of the distribution (symmetric, uniform or skewed). 8. Approximate the sample mean using the frequency distribution. The weekly salaries for a sample of employees at Company ABC are listed. 754 466 1019 795 908 627 444 940 9. Find the range of the data set. 10. Find the variance of the data set. 11. Find the standard deviation of the data set.STATISTICS: STEM & LEAF DIAGRAMS Create stem-and-leaf plots for the following sets of data. 1. An English teacher asked her students how many books they read over the last two years. Their responses were: 13, 11, 25, 27, 8, 18, 32, 21, 18, 29, 22, 17, 9, 28, 31. The stem and leaf plot below shows the grade point averages of the students in Mr. Smith’s math class. 0 8 1 2 4 4 6 7 2 0 4 5 5 6 7 9 3 2 3 5 8 4 0 2. What is the range of the data? 3. How many students have a GPA of 2 or higher? 4. What is the mode of the data? 5. What is the median of the data? 6. How many students are in Mr. Smith’s math class?STATISTICS: COMBINATIONS & PERMUTATIONS Perform the indicated calculation. 1. 3 8 P 2. 3 8 C Use the Fundamental Counting Principle, combinations or permutations to answer each of the following questions. Remember, you must include work for full credit. 3. The access code at Company XYZ consists of 4 digits (0 to 9). The first digit cannot be 0 and the last digit must be even. How many different codes are available? 4. There are 8 horses entered in the Big City Horse Derby. Assuming that horses cannot tie, how many different ways can the horses finish the race? 5. Smith Landscaping wants to plant 4 maple trees, 8 oak trees and 6 poplar trees at Bill’s Burger Barn. If the trees are to be spaced evenly apart, how many distinguishable ways can they be planted? 6. A jury of 12 is to be selected from a group of 40 people. How many different ways can the jury be selected? _1463154203.unknown _1463154211.unknownSTATISTICS: MULTIPLICATION RULE State whether the two events are dependent or independent. Justify your reasoning. 1. Selecting an ace from a standard deck of cards, replacing it, and then selecting a jack from the deck. 2. A numbered ball between 1 and 100 is selected from a bucket, and then a second numbered ball is selected from the remaining balls. Calculate the following probabilities. Don’t forget to include work. 3. What is the probability of flipping a coin 8 times in a row and getting heads every time? 4. Given a standard deck of cards, what is the probability of selecting a diamond, replacing it, selecting a queen, replacing it, and then selecting a spade? 5. Given a standard deck of cards, what is the probability of selecting the queen of hearts and then any heart, without replacing the queen of hearts? In a box of 11 parts, four of the parts are defective. Two parts are selected at random, without replacement. 6. Find the probability that both of the parts are defective. 7. Find the probability that both of the parts are not defective. 8. Find the probability that at least one of the two parts is defective.STATISTICS: BINOMIAL DISTRIBUTIONS Determine whether each experiment is a binomial experiment. If it is, define the values of n, p, and q. If it is not, explain why. 1. Fancy Pants clothing store has found that 28\% of the people who enter the store will buy something. During a one-hour period, 16 people enter the store. The random variable represents the number of people who do not buy anything. 2. 1247 people were polled and asked “Do you approve, disapprove or have no opinion on the way the president is handling his job?” The random variable represents the number of people who approve of the way the president is handling his job. Find the probabilities. Remember, you must show work to earn credit. 3. Time for a pop quiz! There are five multiple-choice questions on the quiz. Each question has four possible answers (only one answer is correct). You didn’t read the lesson, so you decide to guess the answers. Find the probability of guessing a) exactly three correct answers. b) all five correct answers 4. Fifty-four percent of the class studied for the final exam. You randomly select 10 students in the class and ask if they studied for the final exam. Find the probability that the number who studied is exactly eight.STATISTICS: WEIGHTED MEANS 1. Connor’s scores and their weighted percentages are given below. Calculate Connor’s mean score. Score Weighted Percent Homework Assignment 1 100 5\% Homework Assignment 2 95 5\% Homework Assignment 3 100 5\% Homework Assignment 4 93 5\% Quiz 1 85 20\% Quiz 2 92 20\% Project 98 15\% Final Exam 86 25\% 2. The ages of the residents of Tiny Town are listed in the frequency distribution below. Find the approximate mean of the data. Age Frequency 0 – 9 73 10 – 19 61 20 – 29 38 30 – 39 62 40 – 49 86 50 – 59 54 60 – 69 41 70 – 79 29 80 – 89 10 90 - 100 2 3. Describe the approximate shape of the distribution (symmetric, uniform, skewed left, skewed right, none of these). Then describe the relationship between the mean, median and mode. Justify your reasoning . a) b) ANSWER: ANSWER:STATISTICS: PROBABILITY DISTRIBUTIONS Determine whether each distribution is a probability distribution. Justify/explain your reasoning. 1. x 1 2 3 4 5 6 P(x) 0.02 0.34 0.18 0.26 0.05 0.15 Probability Distribution? Why or Why Not? 2. x 1 2 3 4 P(x) 0.31 0.08 0.48 0.16 Probability Distribution? Why or Why Not? 3. x 1 2 3 4 5 P(x) 3/4 5/4 1/2 1/4 -7/4 Probability Distribution? Why or Why Not? Use the frequency distribution to create a probability distribution. 4. The number of pets per household in Littleville. Pets 0 1 2 3 4 5 Households 1491 425 168 48 29 14 5. The number of computers per household in Littleville. Computers 0 1 2 3 Households 300 280 95 20STATISTICS: MORE PROBABILITY DISTRIBUTIONS Use the frequency distribution to create a probability distribution. Then find the mean, variance, standard deviation and expected value of the probability distribution. (Hint: You already created probability distributions of these frequency distributions in the Probability Distributions assignment.) 1. The number of pets per household in Littleville. Pets 0 1 2 3 4 5 Households 1491 425 168 48 29 14 2. The number of computers per household in Littleville. Computers 0 1 2 3 Households 300 280 95 20STATISTICS: PROBABILITY EXAM The table below shows an estimated number (in thousands) of degrees earned in the United States in 2004. Male Female TOTAL Associate’s Bachelor’s Master’s Doctorate 231 553 197 25 401 769 270 20 632 1322 467 45 TOTAL 1006 1460 2466 Suppose a person who earned a degree in the U.S. in 2004 is selected at random. Find the probability of selecting someone who: 1) earned a master’s degree 2) earned a master’s degree or is female 3) earned an associate’s degree and is male 4) did not earn a doctorate 5. Assuming that each character on a state’s license plate can be either a letter (A – Z) or a digit (0-9), how many four-character license plates are possible? 6. Fifteen swimmers enter a race. In how many ways can they finish first, second and third? 7. The local newspaper editor must select 4 articles for this week’s paper out of 17 submissions. How many ways can the editor select the stories for this week’s paper? 8. In how many distinguishable ways can the letters in the word mathematics be written? Decide whether the events are independent or dependent. Justify your reasoning. 9. Tossing a coin 5 times and getting tails each time. Tossing the coin a sixth time and getting tails. Decide whether the events are mutually exclusive. Justify your reasoning. 10. Event A: Randomly select a king from a standard deck of cards. Event B: Randomly select a face card from a standard deck of cards.STATISTICS: FINDING VALUES 1. What does a z-score of -3.4 mean? 2. Given a distribution where µ = 70 and s = 62, find a value with a z-score of -1.82. 3. Given a distribution where µ = 60 and s = 98, find the z-score of 120.76. 4. What is the probability of a z-score less than +2.02? 5. What is the probability of a z-score greater than -1.97? _1493463299.unknownSTATISTICS: SCATTER PLOTS & LINE GRAPHS 1. The data below shows the number of hours students spent studying for a math test and their grade. Hours Studying 1 4 3 2 4 3 2 1 2 Grade 58 93 80 70 98 85 72 60 75 a) Draw a scatter plot of the data and describe the relationship that exists. b) Predict the grade for a student who studied for 6 hours. Justify your reasoning. 2) Sofia collected data on the temperature in the testing room and the scores on the test. a) Which plot shows that no relationship exists between the temperature and the score? Justify your reasoning. b) Which plot shows a positive correlation exists between the temperature and the score? Justify your reasoning.STATISTICS: PIE CHARTS 1. Complete the chart by finding the sector angle for each category. Remember, you must include work for full credit. CANDY NUMBER SOLD SECTOR ANGLE Snickers 151 Skittles 191 M&M’s 61 Almond Joy 91 Butterfinger 107 2. Stacy’s daily schedule is as follows: runs for 1 hour, studies for 2 hours, spends 2 hours eating, spends 1 hour watching TV, hangs out with friends/family for 5 hours, works for 4 hours and sleeps for 9 hours. Using this information, create a table of the sector angles for each category. Remember, you must include work for full credit. The pie chart below shows the monthly budget for the Patrick family. Use the chart to answer each of the following questions. Remember, you must include work for full credit. 3. If the total monthly budget is $4500, how much money is budgeted for food? 4. If the total monthly budget is $3000, how much money is budgeted for clothing and transportation (combined)? 5. True or False: The total monthly budget for savings and food is more than the total monthly budget for transportation.