# Questions on Algebra: Probability and statistics answered by real tutors!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 177902: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error (+ or -) 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. Click here to see answer by stanbon(57361)

 Question 177713: 8.46 A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a)Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error (+ or -) 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. Click here to see answer by stanbon(57361)

 Question 177714: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very mall value of p? Click here to see answer by stanbon(57361)

 Question 178207: Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Earned Very Uncertain Somewhat Certain Very Certain Row Total 0–9 12 8 3 23 10–59 8 4 10 22 60 or more 1 7 11 19 Col Total 21 19 24 64 Click here to see answer by stanbon(57361)

 Question 178360: WHY the value of CORRELATION COEFFICIENT always lies between -1 and +1 ? PLS ONLY TELL ME " WHY THIS VALUE ALWAYS EXISTS BETWEEN -1 AND +1 Click here to see answer by EMStelley(187)

 Question 178525: I need help with this Question? 5.62 A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. Click here to see answer by edjones(7569)

 Question 178526: I need help with this question please. I started it but I am not sure that I am doing it right... 5.70 * The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”? P(A)=1/4000000=0.00000025 "P(B)=" 50000/4000000=0.0125 Click here to see answer by stanbon(57361)

 Question 178734: A survey of 10 adults employed full-time was taken. Here are their reported numbers of hours worked per week: 43,55,44,50,39,35,42,56,51,46 What is the mean of this data set? If your ansewer is not an integer, round your ansewer to atleast one decimal place what is the median of this data set? If your ansewer is not an integer, round your ansewer to atleast one decimal place How many modes does the data set above have, and what are there values? Indicate the number of modes, and then indicate the value of modes if applicable Click here to see answer by Mathtut(3670)

 Question 178739: The hourly wages of a sample of 18 employees of a medical company are summarized in the table below: Number of employees hourly wage (in dollars) 3 7.00 6 9.00 9 9.25 Find the mean hourly wage of these 18 employees. Round your answer to at least two decimal places. Click here to see answer by stanbon(57361)
 Question 178739: The hourly wages of a sample of 18 employees of a medical company are summarized in the table below: Number of employees hourly wage (in dollars) 3 7.00 6 9.00 9 9.25 Find the mean hourly wage of these 18 employees. Round your answer to at least two decimal places. Click here to see answer by Mathtut(3670)
 Question 178739: The hourly wages of a sample of 18 employees of a medical company are summarized in the table below: Number of employees hourly wage (in dollars) 3 7.00 6 9.00 9 9.25 Find the mean hourly wage of these 18 employees. Round your answer to at least two decimal places. Click here to see answer by lauranne(1)

 Question 178741: The following are the P/E ratios (price of stock divided by projected earnings per share) for 20 banks. 20,22,22,19,22,50,24,15,34,43,22,20,17,38,18,21,21,23,18,23 Find 20th and 75th percentiles for these ratios. Click here to see answer by stanbon(57361)
 Question 178741: The following are the P/E ratios (price of stock divided by projected earnings per share) for 20 banks. 20,22,22,19,22,50,24,15,34,43,22,20,17,38,18,21,21,23,18,23 Find 20th and 75th percentiles for these ratios. Click here to see answer by Mathtut(3670)

 Question 178747: The 5 participants in a 200-meter dash had the following finishing times (in seconds): 30,27,30,27,26 Assuming that these times constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places. Click here to see answer by Mathtut(3670)

 Question 178749: The 5 participants in a 200-meter dash had the following finishing times (in seconds): 30,27,30,27,26 Assuming that these times constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places. Click here to see answer by Mathtut(3670)

 Question 178753: Below are the times (in days) it takes for a sample of 5 customers from Jack's computer store to pay their invoices. 44,41,20,24,41 Find the standard deviation of this sample of times. Round your answer to at least two decimal places. Click here to see answer by Fombitz(13828)

 Question 178913: a researcher reports that the ave. salary of sales managers has a mean salary of 43, 800 at alpha= 0.05, test the claim that sales managers earn more than 42, 000 per month. the standard deviation is 5, 400 Click here to see answer by stanbon(57361)

 Question 178965: Here are the shopping times (in minutes) for a sample of 6 shoppers at a particular clothing store: 35,38,23,23,24,25 Find the standard deviation of this sample of shopping times. Round your answer to at least two decimal places. Click here to see answer by Mathtut(3670)

 Question 178972: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 50.4. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. A) According to Chebyshev theorem, at least (56%,75%,84% 89% Pick which one) or the scores lie within 2 standard deviations of the mean 50.4. B)Suppose that the distribution is bell-shaped. If approximatly 68% of the scores lie between 40.5 and 60.3, then the approximate value of the standard deviation for the distribution, according to the empirical rule is Click here to see answer by stanbon(57361)

 Question 178790: The tourist bureau of the Hawaiian Islands surveyed a sample of 5 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows: 9,4,7,6,4 Find the standard deviation of this sample of numbers. Round your answer to at least two decimal places. Click here to see answer by stanbon(57361)

 Question 179026: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be \$26.06. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. a)According to Chebyshev's theorem, at least (56%,75%,84%,89% pick one) of the fares lie withing 2.5 standard deviations of the mean 26.06 dollars. b)Suppose the distribution is bell-shaped. If approximatly 68% of the fares lie between 22.26 dollars and 29.86 dollars, then the approximate value of the standard deviation for the distribution, according to the empiricial rule is __ Click here to see answer by stanbon(57361)

 Question 179108: Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. (a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical? Click here to see answer by stanbon(57361)

 Question 178531: 12.50 In the following regression, X = total assets (\$ billions), Y = total revenue (\$ billions), and n = 64 large banks. (a) Write the fittedregression equation. (b) State the degrees of freedom for a two- tailed test for zero slope, and use Appendix D to find the critical value at α= .05. (c) What is your conclusion about the slope? (d) Interpret the 95 percent confidence limits for the slope. (e) Verify that F = t2 for theslope. (f) In your own words, describe the fit of this regression. R2 0.519 Std. Error 6.977 n 64 ANOVA table Source SS df MS F p-value Regression 3,260.0981 1 3,260.0981 66.97 1.90E- Residual 3,018.3339 62 48.6828 Total 6,278.4320 63 Regression output confidence interval variables coefficients std. error t (df =62) p-value 95% lower 95% upper Intercept 6.5763 1.9254 3.416 .0011 2.7275 10.4252 X1 0.0452 0.0055 8.183 1.90E-11 0.0342 0.0563 Click here to see answer by stanbon(57361)

 Question 179157: pattern question 2, 3, 5, 7, 11... My logic: The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23 Click here to see answer by Mathtut(3670)
 Question 179157: pattern question 2, 3, 5, 7, 11... My logic: The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23 Click here to see answer by Edwin McCravy(8909)

 Question 179188: BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 921 hours. Suppose that this mean applies to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries. Suppose that the distribution is bell-shaped. If approximatly 99.7% of the lifetime lie between 654 hours and 1188 hours, then the approximate value of the standard deviation for the distribution, according to the empirical rule is ___ Click here to see answer by stanbon(57361)

 Question 179176: BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 921 hours. Suppose that this mean applies to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries. a) According to Chebyshev's theorem, at least (56% 75%, 84%, 89% which one) of the lifetimes lie within 2 standard deviations of the mean, 921 hours. b) Suppose the distribution was bell-shaped, If approximatly 99.7% of the lifetimes lie between 654 hours and 1188 hours, then the approximate value of the standard deviation for the distribution, according to the empiral rule is __ Click here to see answer by stanbon(57361)

 Question 179216: The manager of the Portland Electronics store is concerned that his suppliers have been giving him TV sets with lower than average quality. His research shows that replacement times for TV sets have a mean of 8.2 years and a standard deviation of 1.1 years (based on data from 'Getting Things Fixed,' Consumer Reports). He then randomly selects 50 TV sets sold in the past and finds that the mean replacement time is 7.8 years. a. Assuming that TV replacement times have a mean of 8.2 years and a standard deviation of 1.1 years, find the probability that 50 randomly selected TV sets will have a mean replacement time of 7.8 years or less. b. Based on the result from part (a), does it appear that the Portland Electronics store has been given TV sets with lower than average quality? Click here to see answer by stanbon(57361)

 Question 179239: Chebyshev's theorem and the empirical rule A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 47.8. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. a) according to chebyshevs theorem, at least (56%, 75%, 84%, 89% pick one) of the scores lie within 1.5 standard deviations of the mean 47.8 b) Suppose that the distribution is bell-shapped. If approximatly 95% of the scores lie between 28.4 and 67.2, then the approximate value of the standard deviation for the distribution, according to the empirical rule is __ Click here to see answer by stanbon(57361)

 Question 179247: There is some evidence that, in the years 1981-85 , a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp.320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.88%. Suppose that this mean applies to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. a) According to Chebyshev's theorem, at least )56%,75%,84%,89% which one)of the relative increases on stock price lie within 2.5 standard deviations of the mean, 0.88% b)Suppose that the distribution is bell-shaped. If approximatly 68% of the relative increases in stock price lie between 0.71% and 1.05%, then the approximate value of the standard deviation for the distribution, according to the empirical rule is__ Click here to see answer by stanbon(57361)

 Question 179243: When a 1/2 liter bottle of a liquid drink is supposed to contain a mean of 520 ml and it has a known process standard deviation of 4 ml, which sampling distribution would be used if random samples of 10 bottles are to be weighed? and Why? How do I set up a hypothesis and a two-tailed decision rule for the correct mean using the 5% level of signifance? Also when the sample of 16 bottles shows a mean fill of 515 ml does this contradict the hypothesis that the true mean is 520 ml? #952 Click here to see answer by stanbon(57361)

 Question 179268: a financial planner wants to compare the yield of income and growth oriented mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income oriented and 40 growth oriented funds. The mean increase for a two- year period for the income fund is \$1100. For the growth oriented funds the mean increase is \$1090. At the 0.01 significance level is there a difference in the mean yield of the two funds? Assume that the standard deviation 1=\$45 and standard deviation 2 =\$55. I have a very hard time understanding this. We do not have a textbook for this. I am to a. State the null and alternative hypothesis Ho and H1 b. state the decision rule. c. compute the value of the test statistic d. Compute the p-value. e. state the decision of the null hypothesis Click here to see answer by stanbon(57361)

 Question 179255: Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few months, he records the waiting times for each of a random selection of 18 post office visits made by him and other customers. These waiting times (in minutes) are as follows: 27,26,13,16,8,23,22,15,16,21,11,25,30,18,12,5,10,24 construct a box-and-whisker plot for the data. Click here to see answer by Mathtut(3670)

 Question 179346: The following data are the grades of 19 students on an algebra test.. 88,56,60,93,91,55,75,79,87,76,79,90,72,94,92,75,86,72,89 construct a box-and-whisker plot for the data Click here to see answer by stanbon(57361)

 Question 179352: Find the value of the following: 6!10! / 4!12! If your answer is not an integer, write it as an exact fraction. Click here to see answer by Mathtut(3670)
 Question 179352: Find the value of the following: 6!10! / 4!12! If your answer is not an integer, write it as an exact fraction. Click here to see answer by Edwin McCravy(8909)

 Question 179356: An experiment involves 17 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants can be chosen, assuming that the order in which the participants are chosen is irrelevant? Click here to see answer by Mathtut(3670)

 Question 179358: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. Click here to see answer by stanbon(57361)

 Question 179359: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”? Click here to see answer by stanbon(57361)

 Question 179443: Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? A sample of 15 accountants who have the partnership status showed a mean salary of \$82,000 with a standard deviation of \$5,500. A sample of 12 \$6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries? a. State the null and alternative hypotheses. Ho: H1: b. State the decision rule. c.Compute the value of the test statistic d. Compute the p-value. e. What is your decision reguarding the null hypotheses? Again there is not a book just this practice question. Click here to see answer by stanbon(57361)

 Question 179463: A poll reported that 48% of residents opposed a new stadium. The poll was accurate to within 3%. What is the minimum percent of residents opposing the stadium? Do I subtract 3% of 48% from 48 to find the minimum percent? Click here to see answer by stanbon(57361)

 Question 178521: Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At α = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample z test for π1 = π2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic. Which test do you prefer? Why? (Data are from Consumer Reports 56, no. 8 [August 1991], p. 519.) Correct? Regular Cola Diet Cola Row Total Yes, got it right 7 7 14 No, got it wrong 12 20 32 Col Total 19 27 46 Click here to see answer by stanbon(57361)

 Question 178520: High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, and Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.) Noise Noise Level Climb Cruise Descent Row Total Low 6 2 6 14 Medium 18 3 8 29 High 1 3 14 18 Col Total 25 8 28 61 Click here to see answer by stanbon(57361)

 Question 178519: A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location? (Data are from a project by MBA students Steve Bennett, Alicia Morais, Steve Olson, and Greg Corda.) Vehic Vehicle Type Somerset Oakland Great Lakes Jamestown Row Total Car 44 49 36 64 193 Minivan 21 15 18 13 67 Full-sized Van 2 3 3 2 10 SUV 19 27 26 12 84 Truck 14 6 17 9 46 Col Total 100 100 100 100 400 Click here to see answer by stanbon(57361)

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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285