Simple random sampling uses a sample of size n from a population of size N to obtain data that canbe used to make inferences about the characteristics of a population. Suppose that, from apopulation of 50 bank accounts, we want to take a random sample of four accounts in order tolearn about the population. How many different random samples of four accounts are possible?(Hint: Is this question about permutation or combination?) The National Occupant Protection Use Survey (NOPUS) was conducted to provide probability-based data on motorcycle helmet use in the United States. The survey was conducted by sendingobservers to randomly selected roadway sites where they collected data on motorcycle helmet use,including the number of motorcyclists wearing a Department of Transportation (DOT)-complianthelmet (National Highway Traffic Safety Administration website, January 7, 2010). Sample dataconsistent with the most recent NOPUS are shown below. Answer questions 8 -10.Type of HelmetDOT-RegionCompliantNoncompliantNortheast9662Midwest8643South9249West7616Total350170(Hint: The above table is a cross-tabulation, but the right margin is missing. You will need tocalculate the total number of motorcyclists for each region as well as the total number ofmotorcyclists of all four regions.)

Answered: Simple random sampling uses a sample of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. x 32.4 32.9 36.1 44.0 47.8 y 30.4 31.0 32.0 42.1 42.2 (a) Verify that Σx = 193.2, Σy = 177.7, Σx2 = 7656.22, Σy2 = 6462.41, Σxy = 7029.62, and r ≈ 0.975. Σx ? Σy ? Σx2 ? Σy2 ? Σxy ? r ? (b) Use a 10% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t ? critical t ? (c) Verify that Se ≈ 1.5629, a ≈ 2.5006, and b ≈ 0.8551. Se ? a ? b ? (d) Find the predicted dealer invoice when the list price is x = 42 (thousand dollars). (Use 2 decimal places.) (e) Find a…
A researcher is conducting a study with a population of 7,346 people. She wants a sample size of 80. Using simple random sampling identify “k.”Considering the researcher chooses to start at the person labeled 34, what would the next three participant numbers be?34, _____, ______, ____
Which of the following is an example of simple random sampling? O A. In order to determine how funds for a library should be allocated, every fifth patron of the library is surveyed about the resources that they use. O B. A teacher in a small class wants to know if their students have completed their homework. They randomly select row 2 and row 4, and all the students seated in row 2 and row 4 are called to present their work to the class. O C. To study the opinions on a certain fashion trend, a magazine interviews select fashion designers. O D. To study opinions about the service provided by an airport, a researcher in the airport hands out a questionnaire only to travelers that are sitting near their gate and avoids travelers who are in a hurry. O E. To determine the recent quality of service in a hotel, a random number generator is used to generate a value between 0 and 1 for every guest that had stayed in the hotel within the previous month. The guests with the 50 smallest…
Wal-Mart wants to introduce a new subscription service (called Plum) that would result in customers getting free two-day delivery. Wal-Mart introduces Wal-Mart Plum to a random sample of 99 customers. You are hired by Wal-Mart to analyze if the introduction of Plum andtwo-day delivery increases sales for Wal-Mart. You find that the 99 random customers that were offered Plum Two Day Delivery spent $2,500 per year on Wal-Mart with a sample standard deviation of $500 in sales. (A) Test whether the sales of Wal-Mart Plum are statistically different from zero at an alpha of 1% (99% confidence level). Set up your null and alternative hypotheses. Test at the 1% level of significance. Show your test and critical statistics. Are the sales for Two-Hour Plum Delivery statistically different from 0? Interpret your answer. Show your work (B) Suppose the typical Wal-Mart consumer spends $2000 a year. Test whether the introductionof Wal-Mart Plum Delivery increased sales. Set up your null and…
A poll was conducted of 2538 Americans who were employed full time about the gender gap in pay. Half were men, and half were women. One question asked: “I believe men and women at my company are paid equally for equal work.” The number giving each response is shown below. Response: Men Women Agree 966 785 Disagree 263 361 Not sure 40 123 Part 1 of 3 (a)If a person who participated in the survey is selected at random, what is the probability that he or she disagreed? Write as a decimal rounded to two decimal places. The probability that he or she disagreed is approximately
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a simple random sample of 800 households will be selected from the population. What is the random variable in this narrative?
Suppose it is generally accepted that 40% of consumers use Apple products. You believe that the percentage is greater. You take a sample of 600 consumers and find that 270 of them use Apple products. Based on our sample, if we repeated this sampling procedure an infinite number of times, 95% of the sample proportions would be between which of the following two numbers?
The information below is from the small population of 5 students. The 10 possible SRSs of size n = 3 are: Sample #1: Abigail(10), Bobby(5), Carlos(10) Sample #2: Abigail(10), Bobby(5), DeAnna(7) Sample #3: Abigail(10), Bobby(5), Emily(9) Sample #4: Abigail(10), Carlos(10), DeAnna(7) Sample #5: Abigail(10), Carlos(10), Emily(9) Sample #6: Abigail(10), DeAnna(7), Emily(9) Sample #7: Bobby(5), Carlos(10), DeAnna(7) Sample #8: Bobby(5), Carlos(10), Emily (9) Sample #9: Bobby(5), DeAnna(7), Emily(9) Sample #10: Carlos(10), DeAnna(7), Emily(9) Name Abigail Bobby Carlos DeAnna Emily Gender Female Male Male Female Female Quiz score 10 5 10 7 9 Calculate the median quiz score for each sample and display the sampling distribution of the sample median on a dotplot. 011 000000-5 5.5 7.5 T 1.5 1.5 7.5 -2 2 6.5 7 7.5 Median quiz scores 8 9 8.5 Median quiz score 8 8.5 Median quiz score ∞∞∞0-9 2.5 3.5 Median quiz scores 2.5 3 3.5 Median quiz scores -80 4104 8.5 9.5 9.5 4.5 4.5 10 8 10 ∞∞∞∞0-5 00000-5
Suppose we have a set of 37 lightbulbs, and we wish to select a random sample of 5 distinct bulbs from this set. How many possible such samples exist? There are possible samples of this size.
Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. x 32.4 32.9 36.1 44.0 47.8 y 30.4 31.0 32.0 42.1 42.2 (b) Use a 10% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t ? critical t ? (c) Verify that Se ≈ 1.5629, a ≈ 2.5006, and b ≈ 0.8551. Se ? a ? b ? (e) Find a 95% confidence interval for y when x = 42 (thousand dollars). (Use 2 decimal place.) lower limit ? upper limit ? (f) Use a 10% level of significance to test the claim that β > 0. (Use 2 decimal places.) t ? critical t ?
In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
How many permutations of three items can be selected from a group of six? Use the letters A, B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F. (Enter your answers as a comma-separated list. Enter three unspaced capital letters for each permutation.) Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 54 bank accounts, we want to take a random sample of four accounts in order to learn about the population. How many different random samples of four accounts are possible?

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