Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1187310: Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 59 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 17.9 and a standard deviation of 2.9. What is the 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Click here to see answer by Boreal(15235)   |
Question 1187071: A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 219 members were looked at and their mean number of visits per week was 2.4 and the standard deviation was 1.8. Round answers to 3 decimal places where possible.
b. With 95% confidence the population mean number of visits per week is
between ____ and _____ visits.
c. If many groups of 219 randomly selected members are studied, then a different confidence interval would be produced from each group. About ____
percent of these confidence intervals will contain the true population mean number of visits per week and about _____ percent will not contain the true population mean number of visits per week.
Click here to see answer by Boreal(15235) |
Question 1187131: The Chief Economist of Analytics Financial Investments Services (AFIS) Pty Ltd, Prof. Elvis found the average dividend yield of a random sample of 30 listed companies on the Johannesburg Stock Exchange to be 11.5% with a standard deviation of 3.5%. Assuming that the dividend yields are normally distributed, compute, with 90% confidence interval, the actual dividend yield of all listed companies on the Johannesburg Stock Exchange (JSE) last year. Interpret the findings in relation to the confidence interval you have obtained.
Click here to see answer by Boreal(15235) |
Question 1187130: A survey of 200 Johannesburg and 100 Pretoria residents was carried out by Miss Joan Amanda, a Statistician with Analytics Statistical and Econometric Research & Consulting (ASERC) Pty Ltd in Pretoria. A sample of 104 residents from Johannesburg and 48 from Pretoria indicated that they would be happy to donate R100 once off to the Heal the World Charity if asked to do so by their local governments. Is the proportion of Johannesburg residents willing to pay the special levy different from that Pretoria at the 5% level of significance?
Click here to see answer by Boreal(15235) |
Question 1188236: Suppose the scores of students on an exam are Normally distributed with a mean of 436 and a standard deviation of 94. Then approximately 99.7% of the exam scores lie between the numbers and such that the mean is halfway between these two integers.
Click here to see answer by Theo(13342)  |
Question 1188222: Assignment:
Suppose that in a certain malarious area past experience indicates that the
probability of a person with a high fever will be positive for malaria is 0.7. Consider 3 randomly selected patients (with high fever) in that same area. 1) What is the probability that no patient will be positive for malaria?
2) What is the probability that exactly one patient will be positive for malaria?
3) What is the probability that exactly two of the patients will be positive for
malaria?
4) What is the probability that all patients will be positive for malaria?
5) Find the mean and the SD of the probability distribution given above.
Click here to see answer by Boreal(15235) |
Question 1188219: It is estimated that 0.42 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. What is the probability that of today’s 1,200 callers at least 5 received a busy signal?
Click here to see answer by Boreal(15235) |
Question 1188257: exam grades
a statistics professor is used to having a variance in his class grades of no more than 100. he feels that his current group of students is different, and so he examines a random sample of midterm grades as shown. at α = 0.05, can it be concluded that the variance in grades exceeds 100?
92.3 89.4 76.9 65.2 49.1 96.7 69.5 72.8 67.5 52.8 88.5 79.2 72.9 68.7 75.8
Click here to see answer by Theo(13342) |
Question 1188304: From experience, the manager of Kramer's Book Mart knows that 60% of the people who are browsing in the store will make a purchase. What is the probability that among ten people who are browsing in the store, at least five will make a purchase? (Round your answer to four decimal places.)
Click here to see answer by ikleyn(52752)  |
Question 1188387: From experience, an airline knows that only of the passengers booked for a certain flight actually show up. If passengers are randomly selected, find the probability that at most of them show up.
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
(If necessary, consult a list of formulas.)
Click here to see answer by ikleyn(52752) |
Question 1188387: From experience, an airline knows that only of the passengers booked for a certain flight actually show up. If passengers are randomly selected, find the probability that at most of them show up.
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
(If necessary, consult a list of formulas.)
Click here to see answer by Alan3354(69443)  |
Question 1187177: Analytics Statistical and Econometric Research & Consulting (Pty) Ltd wants to determine the size of the population of the SADC region which buys a certain company's product. In a random sample of 10 000 people, 4500 have made use of the product at one point in time. Calculate a 90% confidence interval for the proportion of people residing in the SADC who have used the product.
Click here to see answer by Theo(13342) |
Question 1188415: A committee of four is to be selected from a group of twenty people. How many different committees are possible, given the following conditions?
One person is the chair, one person is the secretary, and the other two are responsible for refreshment clean up.
Click here to see answer by math_tutor2020(3816) |
Question 1188415: A committee of four is to be selected from a group of twenty people. How many different committees are possible, given the following conditions?
One person is the chair, one person is the secretary, and the other two are responsible for refreshment clean up.
Click here to see answer by ikleyn(52752) |
Question 1188310: Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each
card corresponds to a sample point with a 1/52 probability.
a. List the sample points in the event an ace is selected.
b. List the sample points in the event a club is selected.
c. List the sample points in the event a face card (jack, queen, or king) is selected.
d. Find the probabilities associated with each of the events in parts (a), (b), and (c).
Click here to see answer by Boreal(15235) |
Question 1187176: The management of a hospital wishes to investigate the effect of the four-day week on absenteeism. Two random samples of 40 were selected; employees of group. A worked 10-hour days (four-day week) and group B worked eight-hour days (five-hour week). If group A averaged four hours of absenteeism per week with a standard deviation of 1.2 and group B averaged 4.4hours of absenteeism per week with a standard deviation of 1.5; should we conclude that the shorter work week reduces absenteeism at 5% level of significance?
Click here to see answer by Boreal(15235) |
Question 1188295: Labor Force Couples The percentage of couples where both parties are in the labor force is 52.1. Choose 5 couples at random. Find the probability that
a. None of the couples have both persons working
b. More than 3 of the couples have both persons in the labor force
c. Fewer than 2 of the couples have both parties working
Click here to see answer by Boreal(15235) |
Question 1187072: The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 162 residents whose mean number of pounds of trash generated per person per week was 34.7 pounds and the standard deviation was 6.9 pounds. Round answers to 3 decimal places where possible.
b. With 98% confidence the population mean number of pounds per person per week is between ____ and ____ pounds.
c. If many groups of 162 randomly selected members are studied, then a different confidence interval would be produced from each group. About ____
percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about _____
percent will not contain the true population mean number of pounds of trash generated per person per week.
Click here to see answer by Boreal(15235) |
Question 1188465: How many different 6-letter radio station names can be made, assuming the first letter must be a K or a W? Assume repetition of letters is allowed. Use the Multiplication Principle of Counting to solve the problem
Click here to see answer by Alan3354(69443) |
Question 1188465: How many different 6-letter radio station names can be made, assuming the first letter must be a K or a W? Assume repetition of letters is allowed. Use the Multiplication Principle of Counting to solve the problem
Click here to see answer by ikleyn(52752) |
Question 1188500: The joint probability mass function of X and Y is given by
p(1,1)=0.05 p(2,1)=0.1 p(3,1)=0.1
p(1,2)=0.1 p(2,2)=0.25 p(3,2)=0.1
p(1,3)=0.1 p(2,3)=0.1 p(3,3)=0.1
Compute the following probabilities:
P(X+Y>4)=
P(XY=3)=
P(XY>2)=
Click here to see answer by Boreal(15235) |
Question 1188467: The U.S. Department of Education reports that 46% of full-time college students are employed while attending college. A recent survey of 60 full-time students at Miami University found that 29 were employed.
a) Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at Miami University is different from the national norm of 0.46.
b) Assume that the study found that 36 of the 60 full-time students were employed and repeat (a). Are the conclusions the same?
Click here to see answer by Boreal(15235) |
Question 1188555: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 42 ) and matching the number on the gold ball (1 through 32 ). If one ticket is purchased, what is the probability of winning the jackpot?
Click here to see answer by Boreal(15235) |
Question 1188543: A tire factory wants to set a minimum mileage guarantee on its tyre. Tyre tests reveals that the mean mileage has a normal distribution with mean 109 and standard deviation 2.65.
the manufacturer wants to set the minimum guaranteed mileage so that no more than 2.5 percent of tyres will have to be replaced.
The Lower limit of guaranteed mileage is :?
Click here to see answer by Boreal(15235) |
Question 1188542: A Computer manufacturer wants to estimate the mean number of defective microchips it produces in a month. From previous study they know that the standard deviation is 10.68.
What is the required sample size for the manufacturer to be 95 percent confident, that the average defective microchips are within thier industry average with an allowable error of 0.5
Click here to see answer by Boreal(15235) |
Question 1188534: The average amount of sports drink consumed by a football team during a game is 23 gallons with a standard deviation of 3 gallons. Assume the amount of sports drink is approximately normally distributed. The team manager only has 25 gallons of sports drinks left in inventory. What is the probability he will run out?
Click here to see answer by Boreal(15235) |
Question 1188554: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through ) and matching the number on the gold ball (1 through ). If one ticket is purchased, what is the probability of winning the jackpot?
Click here to see answer by Alan3354(69443) |
Question 1186998: According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One
explanation of this figure is that taxpayers would rather have the government keep back too much money during the
year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of
$1,332 with a standard deviation of $725.
a) What proportion of tax returns show a refund greater than $1,900?
b) What proportion of the tax returns show that the taxpayer woes money to the government?
c) What proportion of the tax returns show a refund between $200 and $800?
d) Examine by the diagram.
Click here to see answer by Boreal(15235) |
Question 1188556: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 41 ) and matching the number on the gold ball (1 through 32). If one ticket is purchased, what is the probability of winning the jackpot?
Click here to see answer by Alan3354(69443) |
Question 1188512: To determine whether or not they have a certain desease, 204 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 17. The blood samples of the 17 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 17 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 17 people will also be individually tested and, in all, 18 tests will be made on this group. Assume the probability that a person has the desease is 0.1 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 204 people.
answer=?
Click here to see answer by Boreal(15235) |
Question 1188409: Question 2. A survey found that 62% of callers in the United States complain about the service they receive from a call center if they suspect that the agent who handled the call is foreign.11 Given this context, what is the probability that (state your assumptions)
(a) the next three consecutive callers complain about the service provided by a foreign agent?
(b) the next two calls produce a complaint, but not the third?
(c) two out of the next three calls produce a complaint?
(d) none of the next 10 calls produces a complaint?
Click here to see answer by Boreal(15235) |
Question 1188592: A partial relative frequency distribution is given below with class A of relative frequency of 0.22 ,class B of relative frequency of 0.18 and class C of relative 0.40 , Class D of relative frequency of 0.20. Show the percent frequency distribution ?
Click here to see answer by ikleyn(52752) |
Question 1188591: A partial relative frequency distribution is given below with class A of relative frequency of 0.22 ,class B of relative frequency of 0.18 and class C of relative 0.40 , Class D of relative frequency of 0.20. Show the frequency distribution
Click here to see answer by ikleyn(52752) |
Question 1188606: The following example describes the expenditure (in dollars) on recreation per month by employees at a certain company, and their corresponding monthly incomes. We want to use recreational expenditures to predict monthly incomes. (30 points total)
Expenditure ($) 2400, 2650 ,2350 ,4950 ,3100 ,2500 , 5106 , 3100 , 2900 , 1750
Income ($) 41200, 50100, 52000, 66000, 44500, 37700, 73500, 37500, 56700, 35600
(a) Calculate the linear regression line for the data. (5 points)
(b) What is the r value? Is there a positive or negative correlation? (5 points)
(c) Give a practical interpretation of the slope and the intercept in the context of this problem, respectively. Be sure to write complete and grammatically correct sentences. (10 points)
(d) Using the equation for the linear regression that you calculated, estimate the monthly income of an employee at this company who spends 5000 dollars per month on recreation. Give a practical interpretation of this prediction in the context of this problem. (10 points)
Click here to see answer by math_tutor2020(3816) |
Question 1188603: Here are heart rates for a sample of 30 students before and after a class break. At α = .05, was
there a significant difference in the mean heart rate? (a) State the hypotheses. (b) State the decision rule. (c) Solve the problem and show the output. Or show the process if you use hand-calculation. (d) Make a decision. (e ) Write up a few sentences to interpret and report this study like you would for a research paper. Follow the APA 7th edition format requirement. See https://my.ilstu.edu/~jhkahn/apastats.html for a useful guidance. (20 points)
before:
70,65,70,69,57,72,55,56,75,70,66,66,71,81,75,64,66,61,77,60,72,58,77,72,68,71,65,71,70,74
after:
83,75,66,78,95,80,76,80,65,61,95,81,59,77,80,85,63,69,75,73,80,75,77,81,68,73,84,65,71,86
Click here to see answer by ikleyn(52752) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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