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Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 8.1, Problem 10AYU
In Problems 9–12, determine
10. μ = 64, σ = 18, n = 36
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Chapter 8 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 8.1 - The _____ _____ of the sample mean, x, is the...Ch. 8.1 - Suppose a simple random sample of size n is drawn...Ch. 8.1 - The standard deviation of the sampling...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: To cut the standard error of the...Ch. 8.1 - A simple random sample of size n = 10 is obtained...Ch. 8.1 - A simple random sample of size n = 40 is obtained...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...
Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - A simple random sample of size n = 49 is obtained...Ch. 8.1 - A simple random sample of size n = 36 is obtained...Ch. 8.1 - A simple random sample of size n = 12 is obtained...Ch. 8.1 - A simple random sample of size n = 20 is obtained...Ch. 8.1 - NW Gestation Period The length of human...Ch. 8.1 - Upper Leg Length The upper leg length of 20- to...Ch. 8.1 - Reading Rates The reading speed of second grade...Ch. 8.1 - Old Faithful The most famous geyser in the world....Ch. 8.1 - Rates of Return in Stocks The SP 500 is a...Ch. 8.1 - Winning Poker A very good poker player is expected...Ch. 8.1 - NW Oil Change The shape of the distribution of the...Ch. 8.1 - Time Spent in the Drive-Through The...Ch. 8.1 - Insect Fragments The Food and Drug Administration...Ch. 8.1 - Burger Kings Drive-Through Suppose that cars...Ch. 8.1 - Watching Television The amount of time Americans...Ch. 8.1 - ATM Withdrawals According to Crown ATM Network,...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Putting It Together: Playing Roulette In the game...Ch. 8.1 - Explain what a sampling distribution is.Ch. 8.1 - State the Central Limit Theorem.Ch. 8.1 - We assume that we are obtaining simple random...Ch. 8.1 - Without doing any computation, decide which has a...Ch. 8.1 - For the three probability distributions shown,...Ch. 8.1 - Suppose Jack and Diane are each attempting to use...Ch. 8.1 - Sleepy Suppose you want to study the number of...Ch. 8.1 - Sleepy Again Suppose you want to study the number...Ch. 8.1 - Bull Markets A bull market is defined as a market...Ch. 8.2 - In a town of 500 households, 220 have a dog. The...Ch. 8.2 - The _____ _____, denoted p, is given by the...Ch. 8.2 - True or False: The population proportion and...Ch. 8.2 - True or False: The mean of the sampling...Ch. 8.2 - Describe the circumstances under which the shape...Ch. 8.2 - What happens to the standard deviation of p as the...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - A simple random sample of size n = 75 is obtained...Ch. 8.2 - A simple random sample of size n = 200 is obtained...Ch. 8.2 - Prob. 13AYUCh. 8.2 - A simple random sample of size n = 1460 is...Ch. 8.2 - Foreign Language According to a study done by...Ch. 8.2 - Are You Satisfied? According to a study done by...Ch. 8.2 - NW Marriage Obsolete? According to a study done by...Ch. 8.2 - Credit Cards According to creditcard.com, 29% of...Ch. 8.2 - Afraid to Fly According to a study conducted by...Ch. 8.2 - Having Children? The Pew Research Center recently...Ch. 8.2 - Election Prediction Exit polling is a popular...Ch. 8.2 - Acceptance Sampling A shipment of 50,000...Ch. 8.2 - Social Security Reform A researcher studying...Ch. 8.2 - Prob. 24AYUCh. 8.2 - Reincarnation Suppose 21% of all American teens...Ch. 8.2 - Assessments Consider the homeowners association...Ch. 8.2 - Airline Reservations In Chapter 6, We learned that...Ch. 8.2 - Finite Population Correction Factor In this...Ch. 8.2 - Fumbles The New England Patriots made headlines...Ch. 8 - In your own words, explain what a sampling...Ch. 8 - Prob. 2RECh. 8 - Under what conditions is the sampling distribution...Ch. 8 - Prob. 4RECh. 8 - Energy Need during Pregnancy The total energy need...Ch. 8 - Copper Tubing A machine at KA Tube Manufacturing...Ch. 8 - Number of Televisions Based on data obtained from...Ch. 8 - Entrepreneurship A Gallup survey indicated that...Ch. 8 - Advanced Degrees According to the U.S. Census...Ch. 8 - Variability in Baseball Suppose, during the course...Ch. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - The charge life of a certain lithium ion battery...Ch. 8 - A machine used for filling plastic bottles with a...Ch. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Using statistical software, generate 250 samples...Ch. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CSCh. 8 - Prob. 6CSCh. 8 - Prob. 7CSCh. 8 - Prob. 8CSCh. 8 - Prob. 9CSCh. 8 - Prob. 10CSCh. 8 - Prob. 11CSCh. 8 - Prob. 12CSCh. 8 - Repeat parts 11 and 12 for samples of size 20...Ch. 8 - Prob. 14CSCh. 8 - How do the averages of your sample means compare...Ch. 8 - Prob. 16CSCh. 8 - Prob. 17CSCh. 8 - Construct histograms for each column of summary...Ch. 8 - Prob. 19CS
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- 1. The mean of the sampling distribution of the sample mean is ug = 100. If the population is normally distributed with a variance of 215, determine the mean and standard deviation of the population.arrow_forward4. Determine whether the given conditions justify testing a claim about a population mean μ The sample size is 17, σ = 4.33 and the original population is normally distributed. Explain.arrow_forwardSuppose data is collected to predict y from x. If the size of Sample ✓ Calculate the p-value if the test statistic is t = -1.38arrow_forward
- Just question Number 3arrow_forward3. Suppose that the inside diameter of bulb lamp manufactured by a company are normally distributed with a sample of 200 bulb lamps, µ = 0.502 inches, and o = 0.005 inches. A bulb lamp will be considered defective if its diameter is less than 0.496 inches or greater than 0.508 inches. What is the percentage of defective bulb lamp produced by the company? What did the answer indicate?arrow_forward13. The following table shows summary data on mercury concentration in salmons (in ppm) from two different areas of the Pacific Ocean. Area 1: m = 15, x = 0.0860, s₁ = 0.0032 Area 2: n = 15, y = 0.0884, s₁= 0.0028 Do the data suggest that the mercury concentration is higher in salmons from Area 2? Assume equal variance and use a = 0.05.arrow_forward
- Number 1 , with solution pleasearrow_forward3. Suppose that the inside diameter of bulb lamp manufactured by a company are normally distributed with a sample of 200 bulb lamps, H=0.502 inches, and o 0.005 inches, A bulb lamp will be considered defective if its diameter is less than 0.496 inches or greater than 0.508 inches. What is the percentage of defective bulb lamp produced by the company? What did the answer indicate?arrow_forward1. For this study, we should use a. t-test for a population mean b. z-test for a population proportion 2. The null and alternative hypotheses would be: H0: p or μ a. < b. > c. = d. ≠ H1: p or μ a. < b. > c. = d. ≠ 3. z or tarrow_forward
- 2) A population has μ = 100 and σ = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.arrow_forward8. For a sample with s = 12, a score of X = 73 corresponds to z = 1.00. What is the sample mean?arrow_forward2. Research groups A and B have studied independently a phenomenon that can be described by random sampling from a normal distribution N(μ, σ²), where both parameters are unknown. The interesting parameter is is the population average μ. Results of research groups (sample size, sample mean and sample variance) are respectively nA = 10, NB = 15, A = 3.967, s B = 3.522, s = 1.995, = 1.310. We would like to do meta analysis, i.e. combine the research results of these two groups. We set the hypotheses H₁: µ = 3 and H₁: µ 3. Hypotheses are tested using a two-sided t-test and significance level 0.05. (a) Calculate the usual point estimater for the parameters μ and σ² by using the data sets of both group A and group B. (First determine nA+B, A+B and s² A+B using the given information¹ on the data sets.) (b) Test the hypotheses using the data of the group A (α = 0.05). State the p-value of the test and the decision of rejecting or accepting the null hypothesis. (c) Test the hypothesis using…arrow_forward
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