
USING AND UNDERSTANDING MATHEMATICS W/
7th Edition
ISBN: 9780135239919
Author: BENNETT AND BR
Publisher: PEARSON
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Chapter 3.B, Problem 60E
To determine
The number of stadiums with a capacity 60,000 required to occupy 1.56 million prison population in the year 2014.
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Chapter 3 Solutions
USING AND UNDERSTANDING MATHEMATICS W/
Ch. 3.A - The price of a meal at a four-star restaurant is...Ch. 3.A - The population of a town increases from 50,000 to...Ch. 3.A - Suppose the value of a home changed by -20% over...Ch. 3.A - Emily scored 50% higher on the SAT than Joshua....Ch. 3.A - The price of a movie ticket increased from $10 to...Ch. 3.A - Your receipt shows that you paid $47.96 for a new...Ch. 3.A - Consider this statement: “The interest rate on...Ch. 3.A - A friend has a textbook that originally cost $150....Ch. 3.A - You currently earn $1000 per month, but you are...Ch. 3.A - During high school, Elise won 30% of the swim...
Ch. 3.A - Describe the three basic uses of percentages. Give...Ch. 3.A - Distinguish between absolute and relative change....Ch. 3.A - Distinguish between absolute and relative...Ch. 3.A - Explain the difference between the key words of...Ch. 3.A - Explain the difference between the terms percent...Ch. 3.A - 6. Give an example to explain why, in general, it...Ch. 3.A - In many European countries, the percentage change...Ch. 3.A - The price of tuition has tripled since my parents...Ch. 3.A - I’ve decreased my caloric intake by 125% which has...Ch. 3.A - If you earn 20% more than I do, then I must earn...Ch. 3.A - If they raise taxes by 10% every year, in a decade...Ch. 3.A - We found that these rare cancers were 700% more...Ch. 3.A - The rate of return on our fund increased by 50%,...Ch. 3.A - My bank increased the interest rate on my savings...Ch. 3.A - Prob. 15ECh. 3.A - Prob. 16ECh. 3.A - Prob. 17ECh. 3.A - Prob. 18ECh. 3.A - Fractions, Decimals, Percentages. Express the...Ch. 3.A - Prob. 20ECh. 3.A - Prob. 21ECh. 3.A - Prob. 22ECh. 3.A - Fractions, Decimals, Percentages. Express the...Ch. 3.A - Fractions, Decimals, Percentages. Express the...Ch. 3.A - Prob. 25ECh. 3.A - Prob. 26ECh. 3.A - Fractions, Decimals, Percentages. Express the...Ch. 3.A - Prob. 28ECh. 3.A - Prob. 29ECh. 3.A - Prob. 30ECh. 3.A - Prob. 31ECh. 3.A - Prob. 32ECh. 3.A - Prob. 33ECh. 3.A - Compare the following pairs of numbers A and B in...Ch. 3.A - 31-36: Review of Ratios. Compare the following...Ch. 3.A - Review of Ratios. Compare the following pairs of...Ch. 3.A - Prob. 37ECh. 3.A - Prob. 38ECh. 3.A - Prob. 39ECh. 3.A - Percentages as Fractions in the following...Ch. 3.A - Prob. 41ECh. 3.A - Prob. 42ECh. 3.A - Salary Comparisons. Clint’s salary increased from...Ch. 3.A - 44. Population Comparison. Between the 2010 U.S....Ch. 3.A - Percentage Change. Find the absolute change and...Ch. 3.A - Percentage Change. Find the absolute change and...Ch. 3.A - Percentage Change. Find the absolute change and...Ch. 3.A - Percentage Change. Find the absolute change and...Ch. 3.A - Percentage Comparisons. Complete the following...Ch. 3.A - Percentage Comparisons. Complete the following...Ch. 3.A - Prob. 51ECh. 3.A - Percentage Comparisons. Complete the following...Ch. 3.A - Of versus More Than. Fill in the blanks in the...Ch. 3.A - Of versus More Than. Fill in the blanks in the...Ch. 3.A - Of versus More Than. Fill in the blanks in the...Ch. 3.A - Of versus More Than. Fill in the blanks in the...Ch. 3.A - 57-60: Prices and Sales. Fill in the blanks in the...Ch. 3.A - Prob. 58ECh. 3.A - Prob. 59ECh. 3.A - Prob. 60ECh. 3.A - Percentages of Percentages. Describe each of the...Ch. 3.A - 61-64: Percentages of Percentages. Describe each...Ch. 3.A - Percentages of Percentages. Describe each of the...Ch. 3.A - Percentages of Percentages. Describe each of the...Ch. 3.A - Care in Wording. Assume that 30% of city employees...Ch. 3.A - Ambiguous News. The average annual precipitation...Ch. 3.A - Solving Percentage Problems. Solve the following...Ch. 3.A - Solving Percentage Problems. Solve the following...Ch. 3.A - Solving Percentage Problems. Solve the following...Ch. 3.A - Solving Percentage Problems. Solve the following...Ch. 3.A - Shifting Reference Value. State whether the...Ch. 3.A - Prob. 72ECh. 3.A - Prob. 73ECh. 3.A - Shifting Reference Value. State whether the...Ch. 3.A - Prob. 75ECh. 3.A - Is It Possible? Determine whether the following...Ch. 3.A - Prob. 77ECh. 3.A - Prob. 78ECh. 3.A - 75-80: Is It Possible? Determine whether the...Ch. 3.A - 75-80: Is It Possible? Determine whether the...Ch. 3.A - 81. Average Percentages. Suppose you have an 80%...Ch. 3.A - Prob. 82ECh. 3.A - 83-86: Analyzing Percentage Statements. Assuming...Ch. 3.A - Prob. 84ECh. 3.A - 83-86: Analyzing Percentage Statements. Assuming...Ch. 3.A - Prob. 86ECh. 3.A - 87-90: Solving Percentage Problems. Solve the...Ch. 3.A - Prob. 88ECh. 3.A - Prob. 89ECh. 3.A - 87-90: Solving Percentage Problems. Solve the...Ch. 3.A - Percentages in the News. Answer the question that...Ch. 3.A - Percentages in the News. Answer the question that...Ch. 3.A - Percentages in the News. Answer the question that...Ch. 3.A - Prob. 94ECh. 3.A - 108. Stock Market Losses.
a. The largest...Ch. 3.A - Percentages. Find three recent news reports that...Ch. 3.A - Percentage Change. Find a recent news report that...Ch. 3.A - Prob. 98ECh. 3.B - 1. The number 300,000,000 is the same as a. 3 10 7...Ch. 3.B - Prob. 2QQCh. 3.B - Prob. 3QQCh. 3.B - 4. You are asked to estimate the total amount of...Ch. 3.B - 5. You are wondering how many dollar bills you’d...Ch. 3.B - 6. You are given some data and asked to calculate...Ch. 3.B - You are looking at a map with a scale of 1 inch =...Ch. 3.B - An NFL quarterback is offered a new contract...Ch. 3.B - You are running for mayor this year in a city with...Ch. 3.B - A lottery ticket on which the odds of winning are...Ch. 3.B - Briefly describe scientific notation. How is it...Ch. 3.B - Prob. 2ECh. 3.B - Prob. 3ECh. 3.B - Explain how we can use comparisons to put numbers...Ch. 3.B - 5. Describe three common ways of expressing the...Ch. 3.B - 6. Explain how we can use scaling to put numbers...Ch. 3.B - 7. Suppose that the Sun were the size of a...Ch. 3.B - 8. Describe several ways of putting each of the...Ch. 3.B - Prob. 9ECh. 3.B - I’ve seen about commercials on TV.Ch. 3.B - I work in an office building that is 300 feet...Ch. 3.B - In total, Americans spend about a billion dollars...Ch. 3.B - A popular local redtaurant serves 5 million...Ch. 3.B - The CEO of the company earned more money last year...Ch. 3.B - Prob. 15ECh. 3.B - Prob. 16ECh. 3.B - Review of Scientific Notation. In the following...Ch. 3.B - Review of Scientific Notation. In the following...Ch. 3.B - Prob. 19ECh. 3.B - Prob. 20ECh. 3.B - Prob. 21ECh. 3.B - Prob. 22ECh. 3.B - Prob. 23ECh. 3.B - Prob. 24ECh. 3.B - Prob. 25ECh. 3.B - 23-26: Using Scientific Notation. Rewrite the...Ch. 3.B - Prob. 27ECh. 3.B - Prob. 28ECh. 3.B - 29-32: Perspective Through Estimation. Use...Ch. 3.B - Perspective Through Estimation. Use estimation to...Ch. 3.B - Perspective Through Estimation. Use estimation to...Ch. 3.B - Prob. 32ECh. 3.B - Prob. 33ECh. 3.B - Prob. 34ECh. 3.B - Prob. 35ECh. 3.B - Order of Magnitude Estimates. Make order of...Ch. 3.B - Prob. 37ECh. 3.B - Prob. 38ECh. 3.B - Prob. 39ECh. 3.B - 41-48: Energy Comparisons. Use Table 3.1 to answer...Ch. 3.B - 41-48: Energy Comparisons. Use Table 3.1 to answer...Ch. 3.B - 41-48: Energy Comparisons. Use Table 3.1 to answer...Ch. 3.B - Prob. 43ECh. 3.B - Prob. 44ECh. 3.B - Prob. 45ECh. 3.B - Prob. 46ECh. 3.B - Prob. 47ECh. 3.B - Prob. 48ECh. 3.B - Scale Ratios. Find the scale ratios for the...Ch. 3.B - Prob. 50ECh. 3.B - Scale Model Solar System. The following table...Ch. 3.B - 54. Interstellar Travel. The fastest spaceships...Ch. 3.B - 53. Universal Timeline. According to modern...Ch. 3.B - Universal Clock. According to modern science,...Ch. 3.B - Prob. 55ECh. 3.B - Prob. 56ECh. 3.B - Prob. 57ECh. 3.B - Prob. 58ECh. 3.B - Prob. 59ECh. 3.B - Prob. 60ECh. 3.B - Making Numbers Understandable. Restate the...Ch. 3.B - Making Numbers Understandable. Restate the...Ch. 3.B - Cells in the Human Body. Estimates of the number...Ch. 3.B - Emissions. For every gallon of gasoline burned by...Ch. 3.B - Prob. 65ECh. 3.B - Wood for Energy? A total of about 180,000...Ch. 3.B - Stellar Corpses: White Dwarfs and Neutron Stars. A...Ch. 3.B - Until the Sun Dies. It took 65 million years from...Ch. 3.B - Personal Consumption. The Bureau of Economic...Ch. 3.B - Sampling Problems. Sampling techniques can be used...Ch. 3.B - Prob. 71ECh. 3.B - 72 – 75 : Sampling Problems. Sampling techniques...Ch. 3.B - Sampling Problems. Sampling techniques can be used...Ch. 3.B - 76. Energy Comparisons. Using data available from...Ch. 3.B - Prob. 75ECh. 3.B - Prob. 76ECh. 3.B - Prob. 77ECh. 3.B - Prob. 78ECh. 3.B - Prob. 79ECh. 3.B - Putting Numbers in Perspective. Find at least two...Ch. 3.B - Prob. 81ECh. 3.C - The $5.6 trillion surplus that government...Ch. 3.C - Under the standard rules for counting significant...Ch. 3.C - Under the standard rules for counting significant...Ch. 3.C - You are trying to measure the outside temperature...Ch. 3.C - You are trying to measure the outside temperature...Ch. 3.C - A testing service makes a error that causes all...Ch. 3.C - A testing service makes an error that causes all...Ch. 3.C - A digital scale shows that you weigh 112.7 pounds,...Ch. 3.C - At a particular moment, the U.S. National Debt...Ch. 3.C - Prob. 10QQCh. 3.C - Prob. 1ECh. 3.C - Prob. 2ECh. 3.C - Prob. 3ECh. 3.C - Distinguish between accuracy and precision. Give...Ch. 3.C - Why can it be misleading to give measurements with...Ch. 3.C - Prob. 6ECh. 3.C - Next year's federal deficit will be $443.45...Ch. 3.C - In many developing nations, official estimates of...Ch. 3.C - My height is 5 feet, 6.3980 inches.Ch. 3.C - Wilma used her paces to measure the dimensions of...Ch. 3.C - More precision is useless if the measurement is...Ch. 3.C - A $2 million error is a lot of money, but it...Ch. 3.C - Prob. 13ECh. 3.C - 13-14: Review of Rounding. In the following...Ch. 3.C - 15-26: Counting Significant Digits. State the...Ch. 3.C - Prob. 16ECh. 3.C - Prob. 17ECh. 3.C - Prob. 18ECh. 3.C - Prob. 19ECh. 3.C - Prob. 20ECh. 3.C - Prob. 21ECh. 3.C - Prob. 22ECh. 3.C - Counting Significant Digits. State the number of...Ch. 3.C - 15-26: Counting Significant Digits. State the...Ch. 3.C - 15-26: Counting Significant Digits. State the...Ch. 3.C - 17-28: Counting Significant Digits. State the...Ch. 3.C - Prob. 27ECh. 3.C - Prob. 28ECh. 3.C - Prob. 29ECh. 3.C - Prob. 30ECh. 3.C - Prob. 31ECh. 3.C - Prob. 32ECh. 3.C - Prob. 33ECh. 3.C - Prob. 34ECh. 3.C - Source of Error. Describe possible source of...Ch. 3.C - 33-38: Sources of Error. Describe possible sources...Ch. 3.C - 35-42: Source of Error. Describe possible source...Ch. 3.C - Source of Error. Describe possible source of...Ch. 3.C - Tax Audit. A tax auditor reviewing a tax return...Ch. 3.C - Prob. 40ECh. 3.C - Safe Air Travel. Before taking off, a pilot is...Ch. 3.C - Cutting Lumber. A lumber yard employee cuts 30...Ch. 3.C - Prob. 43ECh. 3.C - Prob. 44ECh. 3.C - Prob. 45ECh. 3.C - Prob. 46ECh. 3.C - 43-50: Absolute and Relative Errors. Find the...Ch. 3.C - 43-50: Absolute and Relative Errors. Find the...Ch. 3.C - 43-50: Absolute and Relative Errors. Find the...Ch. 3.C - Prob. 50ECh. 3.C - Prob. 51ECh. 3.C - Accuracy and Precision. For each pair of...Ch. 3.C - Prob. 53ECh. 3.C - Accuracy and Precision. For each pair of...Ch. 3.C - Prob. 55ECh. 3.C - Prob. 56ECh. 3.C - Prob. 57ECh. 3.C - Prob. 58ECh. 3.C - 55-62: Combining Numbers. Use the appropriate...Ch. 3.C - 59-66: Combining Numbers. Use the appropriate...Ch. 3.C - 55-62: Combining Numbers. Use the appropriate...Ch. 3.C - Prob. 62ECh. 3.C - Prob. 63ECh. 3.C - Prob. 64ECh. 3.C - Prob. 65ECh. 3.C - Prob. 66ECh. 3.C - Prob. 67ECh. 3.C - Prob. 68ECh. 3.C - Prob. 69ECh. 3.C - Prob. 70ECh. 3.C - 75. Propagation of Error. Suppose you want to cut...Ch. 3.C - 72. Analyzing a Calculation. According to 2015...Ch. 3.C - 77. Random and Systematic Errors. Find a recent...Ch. 3.C - Prob. 74ECh. 3.C - Prob. 75ECh. 3.C - Prob. 76ECh. 3.C - Prob. 77ECh. 3.D - Look at the gasoline price index in Table 3.2....Ch. 3.D - Prob. 2QQCh. 3.D - Prob. 3QQCh. 3.D - Prob. 4QQCh. 3.D - Prob. 5QQCh. 3.D - 6. Suppose we created a price index for computers,...Ch. 3.D - 7. Over the past three decades, the cost of...Ch. 3.D - Suppose your salary has been rising at a greater...Ch. 3.D - Prob. 9QQCh. 3.D - Prob. 10QQCh. 3.D - Prob. 1ECh. 3.D - What is the Consumer Price Index (CPI)? How is it...Ch. 3.D - Prob. 3ECh. 3.D - Prob. 4ECh. 3.D - Prob. 5ECh. 3.D - Even though my salary has remained the same for...Ch. 3.D - Benjamin Franklin said, “A penny saved is a penny...Ch. 3.D - The prices of cars have risen steadily, but when...Ch. 3.D - 9. When we chart today’s price of milk in 1995...Ch. 3.D - 10. The Consumer Price Index is a theoretical...Ch. 3.D - 11-16: Gasoline Price Index. Use Table 3.2 to...Ch. 3.D - Prob. 12ECh. 3.D - Prob. 13ECh. 3.D - Prob. 14ECh. 3.D - Prob. 15ECh. 3.D - Prob. 16ECh. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Understanding the CPI. Use Table 3.4 to answer the...Ch. 3.D - Housing Price Index. Realtors use an index to...Ch. 3.D - Housing Price Index. Realtors use an index to...Ch. 3.D - Housing Price Index. Realtors use an index to...Ch. 3.D - Housing Price Index. Realtors use an index to...Ch. 3.D - HealthCare Spending. Total spending on health care...Ch. 3.D - Airfare. According to the U.S. Bureau of...Ch. 3.D - Private College Cost. According to the College...Ch. 3.D - Public College Cost. According to the College...Ch. 3.D - Federal Minimum Wage. Use the following table,...Ch. 3.D - Federal Minimum Wage. Use the following table,...Ch. 3.D - Federal Minimum Wage. Use the following table,...Ch. 3.D - Federal Minimum Wage. Use the following table,...Ch. 3.D - Prob. 39ECh. 3.D - Prob. 40ECh. 3.D - Prob. 41ECh. 3.D - Prob. 42ECh. 3.D - Fan Cost Index. The cost of attending a Major...Ch. 3.D - Price of Gold. The price of gold (end-of-year...Ch. 3.D - 45. Economic Freedom Index. The Heritage...Ch. 3.D - Consumer Price Index. Find a recent news report...Ch. 3.D - Prob. 47ECh. 3.D - Prob. 48ECh. 3.D - Consumer Confidence Index. Use a search engine to...Ch. 3.D - Prob. 50ECh. 3.D - Prob. 51ECh. 3.D - Prob. 52ECh. 3.D - Inflation Calculator. Use the Bureau of Labor...Ch. 3.D - Prob. 54ECh. 3.D - 51-56: Inflation Calculator. Use the Bureau of...Ch. 3.D - 51-56: Inflation Calculator. Use the Bureau of...Ch. 3.E - Study Table 3.5. What does the number “8” in the...Ch. 3.E - Study Table 3.5. Which statement is not supported...Ch. 3.E - During their freshman year, Derek’s GPA was 3.4...Ch. 3.E - A false negative in a cancer screening test means...Ch. 3.E - A false positive in a test for steroids means that...Ch. 3.E - Study Table 3.7. The total number of women who did...Ch. 3.E - Study Table 3.7. The total number of women whose...Ch. 3.E - Suppose that a home pregnancy test is 99%...Ch. 3.E - Study the graph in Figure 3.5a. Which of the...Ch. 3.E - Study the graph in Figure 3.5b. Which of the...Ch. 3.E - Prob. 1ECh. 3.E - Briefly explain why a positive result on a...Ch. 3.E - Prob. 3ECh. 3.E - Prob. 4ECh. 3.E - Despite the fact that the new drug lowered blood...Ch. 3.E - Our total class score is based only on homework...Ch. 3.E - Baggage screening machines are 98% accurate in...Ch. 3.E - The polygraph test showed that the suspect was...Ch. 3.E - The Republications claim the tax cut benefits...Ch. 3.E - The agency suffered a real cut in its annual...Ch. 3.E - Batting Percentages. The table below shows the...Ch. 3.E - 12. Jeter and Justice. The following table shows...Ch. 3.E - Test Scores. The table below shows eighth-grade...Ch. 3.E - Test Scores. Consider the following table...Ch. 3.E - Prob. 15ECh. 3.E - Prob. 16ECh. 3.E - Prob. 17ECh. 3.E - Disease Test. Suppose a test for a disease is 90%...Ch. 3.E - Performance Enhancement. Suppose that a test for...Ch. 3.E - Prob. 20ECh. 3.E - Political Math. Government spending for a popular...Ch. 3.E - 29. A Tax Cut. According to an analysis of a...Ch. 3.E - Basketball Records. Consider the following...Ch. 3.E - 22. Better Drug. Two drugs, A and B, were tested...Ch. 3.E - Prob. 25ECh. 3.E - Prob. 26ECh. 3.E - Airline Arrivals. The following table shows real...Ch. 3.E - Prob. 28ECh. 3.E - Drug Testing. Explore the issue of drug testing...Ch. 3.E - Prob. 30ECh. 3.E - Prob. 31E
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- 8.1.1 WP For a normal population with known variance σ², answer the following questions: - a. What is the confidence level for the interval x — 2.140/ √√n≤≤+2.140/√√n?arrow_forward8.1.8 A civil engineer is analyzing the compressives trength of concrete. Compressive strength is normally distributed with σ2 = 1000(psi)2. A random sample of 12 specimens has a mean compressive strength ofx = 3250 psi. a. Construct a 95% two-sided confidence interval on mean compressive strength. b. Construct a 99% two-sided confidence interval on mean compressive strength. Compare the width of this confidence interval with the width of the one found in part (a). 8.1.9Suppose that in Exercise 8.1.8 it is desired to estimate the compressive strength with an error that is less than 15 psi at 99% confidence. What sample size is required?arrow_forward8.1.12 Ishikawa et al. [“Evaluation of Adhesiveness of Acinetobacter sp. Tol 5 to Abiotic Surfaces,” Journal of Bioscience and Bioengineering (Vol. 113(6), pp. 719–725)] studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62, and 4.12 dyne-cm2. Assume that the standard deviation is known to be 0.66 dyne-cm2. a. Find a 95% confidence interval for the mean adhesion. b. If the scientists want the confidence interval to be no wider than 0.55 dyne-cm2, how many observations should they take?arrow_forward
- Answer questions 8.2.1 and 8.2.2 respectivelyarrow_forward8.2.3 A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are 60,139.7 and 3645.94 kilometers. Find a 95% confidence interval on mean tire life. 8.2.4 Determine the t-percentile that is required to construct each of the following one-sided confidence intervals: a. Confidence level = 95%, degrees of freedom = 14 b. Confidence level = 99%, degrees of freedom = 19 c. Confidence level = 99.9%, degrees of freedom = 24arrow_forward8.1.6The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed and σ = 3. The past 5 days of plant operation have resulted in the following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3. Find a 95% two-sided confidence interval on the true mean yield. 8.1.7 .A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ = 0.001 millimeters. A random sample of 15 rings has a mean diameter of x = 74.036 millimeters. a. Construct a 99% two-sided confidence interval on the mean piston ring diameter. b. Construct a 99% lower-confidence bound on the mean piston ring diameter. Compare the lower bound of this confi- dence interval with the one in part (a).arrow_forward
- 8.1.2 .Consider the one-sided confidence interval expressions for a mean of a normal population. a. What value of zα would result in a 90% CI? b. What value of zα would result in a 95% CI? c. What value of zα would result in a 99% CI? 8.1.3 A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05) a. What is the value of the sample mean? b. One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI and why?arrow_forward8.1.4 . A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation σ = 20. a. How large must n be if the length of the 95% CI is to be 40? b. How large must n be if the length of the 99% CI is to be 40? 8.1.5 Suppose that n = 100 random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is 0.49 g μ g 0.82. a. Would a 99% CI calculated from the same sample data be longer or shorter? b. Consider the following statement: There is a 95% chance that μ is between 0.49 and 0.82. Is this statement correct? Explain your answer. c. Consider the following statement: If n = 100 random samples of water from the lake were taken and the 95% CI on μ computed, and this process were repeated 1000 times, 950 of the CIs would contain the true value of μ. Is this statement correct? Explain your answerarrow_forward2 6. Modelling. Suppose that we have two tanks (A and B) between which a mixture of brine flows. Tank A contains 200 liters of water in which 50 kilograms of salt has been dissolved and Tank B contains 100 liters of pure water. Water containing 1kg of salt per liter is pumped into Tank A at the rate of 5 liters per minute. Brine mixture is pumped into Tank A from Tank B at the rate of 3 liters per minute and brine mixture is pumped from Tank A into Tank B at the rate of 8 liters per minute. Brine is drained from Tank B at a rate of 5 liters per minute. (a) Draw and carefully label a picture of the situation, including both tanks and the flow of brine between them. JankA 1ks of Salt Slits Pump EL Brine mit tark A from tank 13 Tank 13 k 3L zooliters of Ico liters of water with pure water. Saky salt → 777 disslore inside Brine mix is pumped from tank A to B of 82 Brine drainen min by Gf salt (b) Assume all brine mixtures are well-stirred. If we let t be the time in minutes, let x(t) 1ks…arrow_forward
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