Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 3.II, Problem 33RE
Divide the following numbers. Round to hundredths when necessary.
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Answer questions 8.2.1 and 8.2.2 respectively
8.2.3 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 = 24
8.1.6The 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).
Chapter 3 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 3.I - Read and write the following numbers in word...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Write the following numbers in word form.
Ch. 3.I - Write the following numbers in word form. 2.48Ch. 3.I - Write the following numbers in word form.
3. ...Ch. 3.I - Write the following numbers in word form.
4....Ch. 3.I - Prob. 5RECh. 3.I - Write the following numbers in word form. .000033Ch. 3.I - Write the following numbers in word form. .00938Ch. 3.I - Prob. 8RE
Ch. 3.I - Write the following numbers in word form. .0005712Ch. 3.I - Write the following numbers in word form.
10....Ch. 3.I - Prob. 11RECh. 3.I - Prob. 12RECh. 3.I - Prob. 13RECh. 3.I - Write the following numbers in numerical form....Ch. 3.I - Prob. 15RECh. 3.I - Write the following numbers in numerical form.
16....Ch. 3.I - Prob. 17RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 19RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 23RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 25RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - You are the assistant to the production manager...Ch. 3.II - Perform the indicated operation....Ch. 3.II - Prob. 4TIECh. 3.II - Prob. 5TIECh. 3.II - Prob. 1RECh. 3.II - Perform the indicated operation for the...Ch. 3.II - Prob. 3RECh. 3.II - Prob. 4RECh. 3.II - Prob. 5RECh. 3.II - Prob. 6RECh. 3.II - Prob. 7RECh. 3.II - Prob. 8RECh. 3.II - Prob. 9RECh. 3.II - Prob. 10RECh. 3.II - Prob. 11RECh. 3.II - 12. Subtract fifteen and eighty-eight...Ch. 3.II - Prob. 13RECh. 3.II - 14. In one week of training for the San Francisco...Ch. 3.II - Prob. 15RECh. 3.II - Last week Kate Burke ran a 5-kilometer race in...Ch. 3.II - Prob. 17RECh. 3.II - Faith Sherlock received her monthly pension check...Ch. 3.II - 19. Use the chart “The Pet Story” to answer the...Ch. 3.II - Prob. 20RECh. 3.II - Prob. 21RECh. 3.II - Prob. 22RECh. 3.II - Prob. 23RECh. 3.II - Prob. 24RECh. 3.II - Prob. 25RECh. 3.II - Prob. 26RECh. 3.II - Prob. 27RECh. 3.II - Prob. 28RECh. 3.II - Prob. 29RECh. 3.II - Prob. 30RECh. 3.II - Prob. 31RECh. 3.II - Prob. 32RECh. 3.II - Divide the following numbers. Round to hundredths...Ch. 3.II - Prob. 34RECh. 3.II - Prob. 35RECh. 3.II - Sam Estero received a $50 gift card to iTunes for...Ch. 3.II - Prob. 37RECh. 3.II - 38. Jimmie Masters earns $4,825.50 per month as a...Ch. 3.II - USA Today reported that Ethiopian Airlines had...Ch. 3.II - Prob. 40RECh. 3.II - Prob. 41RECh. 3.II - Edward Nolan has room for 26 bedding plants in his...Ch. 3.II - Prob. 43RECh. 3.II - Prob. 44RECh. 3.II - 45. Tim Meekma owns a PepsiCo vending truck that...Ch. 3.II - According to the Food and Nutrition Service of the...Ch. 3.III - Convert the following decimals to their fractional...Ch. 3.III - Prob. 7TIECh. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - a. You are planning a party for your bowling...Ch. 3.III - Catalina Jewelers has 147.25 ounces of 14-carat...Ch. 3.III - a. What is the total cost of fuel for a 4,602 mile...Ch. 3.III - Ever Ready taxicabs charge 1.20 for the first 14...Ch. 3.III - You are the purchasing manager for Five Star...Ch. 3.III - 20. You are the manager of Rally Rent-a-car. A...Ch. 3.III - 21. You are a loan officer at the West Elm Savings...Ch. 3 - 1. As with fractions, ________ are a way of...Ch. 3 - The ________ ________ separates the whole number...Ch. 3 - 3. When rounding decimals, we delete all digits to...Ch. 3 - When rounding monetary amounts, we round to the...Ch. 3 - When adding or subtracting decimals, we begin by...Ch. 3 - 6. When adding or subtracting decimals, we work...Ch. 3 - 7. In the multiplication of decimals, the product...Ch. 3 - 8. When multiplying a decimal by a power of 10, as...Ch. 3 - When dividing decimals, the basic rule is that you...Ch. 3 - 10. When dividing a decimal by a power of 10, as a...Ch. 3 - When converting a decimal to a fraction, we...Ch. 3 - 12. To convert a fraction to a decimal, we divide...Ch. 3 - Write the following numbers in word form. .61Ch. 3 - Write the following numbers in word form. 34.581Ch. 3 - Write the following numbers in word form. $119.85Ch. 3 - Write the following numbers in word form.
4.
Ch. 3 - Write the following numbers in word form.
5.
Ch. 3 - Write the following numbers in numerical form.
6....Ch. 3 - Write the following numbers in numerical form.
7....Ch. 3 - Write the following numbers in numerical form.
8....Ch. 3 - Write the following numbers in numerical form.
9....Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Prob. 18ATCh. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Gary Scott can buy a box of 40 Blu-ray discs for...Ch. 3 - Two Wheeler-Dealer Bike Shop has a 22-inch...Ch. 3 - The chief financial officer of Allied Corporation...Ch. 3 - 34. A spindle of 50 blank DVD discs costs $16.90....Ch. 3 - Liz Thorton has signed up for a one-semester class...Ch. 3 - At Magers Market, a 24-bottle case of spring water...Ch. 3 - 37. Maria Lopez shares an apartment with a friend....Ch. 3 - Ryan Miller wanted to make some money at a flea...Ch. 3 - 39. A cargo ship, The Caribbean Trader, has a...Ch. 3 - As the food manager for a local charity, you are...Ch. 3 - Prob. 41AT
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- 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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