Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1158203: A machine is set to fill the small size packages of M&M candies with 56 candies per bag. A sample revealed: 3 bags of 56, 2 bags of 57, 1 bag of 55, and 2 bags of 58. How many degrees of freedom are there?.....A. 9
B. 1
C. 8
D. 7
Click here to see answer by Boreal(15235)   |
Question 1158202: Test at the 0.01 level the statement that 55% of those families who plan to purchase a vacation residence in Florida want a condominium. The null hypothesis is = 0.55 and the alternate is .55. A random sample of 400 families who planned to buy a vacation residence revealed that 228 families want a condominium. What decision should be made regarding the null hypothesis?..........
A. Do not reject it
B. Reject it
C. Cannot accept nor reject it based on the information given
D. Purchase a condominium.
Click here to see answer by Boreal(15235) |
Question 1158222: there are 20 counters in bag x 11 of the counters are blue and the rest are red there are 16 counters in bay Y 9 of them are blue and the rest ed fancis take at random a counter from bag x and a random from bay Y wrok out the probabilty that the two counter are both red or are blue
Click here to see answer by ikleyn(52778)  |
Question 1158219: Test the claim that the mean GPA of night students is significantly different than 2.9 at the 0.01 significance level.
The null and alternative hypothesis would be:
a)H0:p=0.725
H1:p≠0.725
b)H0:μ≥2.9
H1:μ<2.9
c)H0:p≥0.725
H1:p<0.725
d)H0:μ=2.9
H1:μ≠2.9
e)H0:μ≤2.9
H1:μ>2.9
f)H0:p≤0.725
H1:p>0.725
The test is:
a)two-tailed
b)left-tailed
c)right-tailed
Based on a sample of 60 people, the sample mean GPA was 2.9 with a standard deviation of 0.05
The p-value is:_______________(to 2 decimals)
Based on this we:
a)Fail to reject the null hypothesis
b)Reject the null hypothesis
Click here to see answer by Edwin McCravy(20054)  |
Question 1158230: What are the two critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is know?n?????A. Above 1.96 and below -1.96
B. Above 1.65 and below -1.65
C. Above 2.58 and below -2.58
D. Above 1.00 and below -1.00
Click here to see answer by Edwin McCravy(20054) |
Question 1158217: A printer is printing out 3-digit numbers between 100-999 such that the digits are not repeated.
(a) If 2000 such numbers are printed out, at least how many of them will be identical? Justify your
answer.
(b) At least how many of the numbers should be printed, so that at least 3 of them will be identical?
Justify your answer.
(c) At least how many of the numbers should be printed, so that the number 243 is printed at least 6
times? Justify your answer.
Click here to see answer by ikleyn(52778) |
Question 1158233: When a person is selected at random from a very large population, the probability that the selected person is right-handed is 0.82. If three people are selected at random, what is the probability that
They are all right-handed?
None of them is right-handed?
Click here to see answer by ikleyn(52778) |
Question 1158213: Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer
programming. Also, 3 study mathematics and science, 4 study mathematics and computer
programming, and 5 study science and computer programming. We know that 1 student studies all three
subjects. How many of these students study none of the three subjects?
Click here to see answer by ikleyn(52778) |
Question 1158218: ) Prove that for any positive integers a and b, gcd(a,b) · lcm(a,b) = a·b.
b) If the product of two integers is 27
· 38
· 52
· 72
and their greatest common divisor is 23
· 34
· 5 what
is their least common multiple?
c) Evaluate the following quantities.
(i) 45 mod 8 (ii) 33 mod 7
(iii) 45 div 7 (iv) ((18 mod 14) + (− 35 mod 7)) mod 8
(v) 623456 mod 5 (vi) 412345 mod 5
(vii) Find three (integer) values for c such that 11 ≡ c mod 5
Click here to see answer by Shin123(626)  |
Question 1158125: Illinois conducts a lottery every day. Participants select three numbers between 0 and 9. A number cannot be selected more than once so a 3-digit number could be 307, for example, but not 337. Purchasing one ticket allows you to select on set of numbers. The winning number is announced on TV every night. Calculate the total number of possible outcomes.
1. New york also has a daily lottery in which participants select three numbers between 0 and 9. However, in New York a number may be selected more than once. What is the total number of possible outcomes?
2. If you purchased a ticket for $5 in Illinois and won, how much would you get if Illinois paid you according to your actual mathematical probability of winning?
3. If you won New York’s lottery and were paid “true odds,” how much would you expect to get for a $1 ticket?
4. Suppose you purchased 10 different tickets in New York’s lottery for a single drawing, what is the probability that one of your numbers would come up?
Click here to see answer by Shin123(626) |
Question 1158215: The following problems can be solved using the principle of inclusion-exclusion. Give the solutions by
naming sets A1
, A2
, ... , Ak such that either the set or the complement of the set is counted by the
inclusion-exclusion formula.
(1) How many n-digit decimal sequences (using the digits 0 − 9) are there in which the digits 1, 2 and
3 all appear?
(2) How many ways are there of rolling a sided die 10 times in a sequence such that all 6 faces
appear?
(3) How many positive integers less than or equal to 420 are relatively prime to 420 ?
(hint: 420 = 2 )
2
· 3 · 5 · 7
(4) How many arrangements of 52 letters, 2 A’s, 2 B’s, 2 C’s, etc. with no pair of identical letters
exist?
(5) How many ways are there of dealing a 13 card hand with at least one void in a suit?
(6) How many 13 card hands have at least one picture card (i.e., J, Q, K, A)?
Click here to see answer by ikleyn(52778) |
Question 1158235: Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are:
Aptitude Score 0 1 2 3 4 5
Frequency 0 4 1 5 1 3
The mean (average) aptitude score is
The median aptitude score is
***Round the mean to the nearest hundredth***
Thank you,
SYL
Click here to see answer by Boreal(15235) |
Question 1158282: The workers' union at a particular university is quite strong. About 94% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 3 of the workers interviewed are union members?
Round your response to at least three decimal places. (If necessary, consult a list of formulas.)
Click here to see answer by ikleyn(52778) |
Question 1158283: The unemployment rate in a city is 12%. If 8 people from the city are sampled at random, find the probability that fewer than 2 of them are unemployed.
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(52778) |
Question 1158201: A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the best point estimate for the population mean?.......A. 2.1 years
B. 1.5 years
C. 19.1 years
D. 9 years
Click here to see answer by Boreal(15235) |
Question 1158231: Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the p-value? a 0.3461
b. 0.1539
c. 0.3078
d. 0.0100
Click here to see answer by Boreal(15235) |
Question 1158351: Suppose we survey 1,000 adults at random, ask them how much they owe in student debt, find
the distribution of our results, and then make the following table:
Debt [$0, $5k) [$5k, $10k) [$10k, $25k) [$25k, $50k) [$50k, $75k) [$75k, $100k+)
Count 193 168 287 195 91 66
We select two adults at random. What is the probability that the first person has less than
$50k in student loans and the second person has at least $50k in student loans?
Click here to see answer by greenestamps(13198)  |
Question 1158347: in conducting a hypothetical survey of 650 Kansas city residents, are a researcher found that 45% are fans of the Kansas city Jayhawks
A. Calculate the margin of error with 95% confidence level survey.
B. If the researcher wanted to get a margin of error of 2.5 how many additional Kansas city residents would need to survey? Assume the number of residents who are fans of the Kansas Jayhawks stays at 45%
Click here to see answer by Boreal(15235) |
Question 1158388: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken.
Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Click here to see answer by Boreal(15235) |
Question 1158385: A machine that manufactures automobile parts produces defective parts
13% of the time. If 7 parts produced by this machine are randomly selected, what is the probability that fewer than 3 of the parts are defective?
Click here to see answer by Boreal(15235) |
Question 1158386: Suppose that the New England Colonials baseball team is equally likely to win any particular game as not to win it. Suppose also that we choose a random sample of 20 Colonials games.
Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Click here to see answer by Boreal(15235) |
Question 1158338: A cola-dispensing machine is set to dispense 500 milliliters, ml, of cola per cup. A sample of 20 cups revealed they amount was 482 ml with a sample standard deviation of 40 ml. At the .02 significance level, do these sample data suggest there is a difference?
a. Which distribution will you use?
b. State the hypotheses.
c. Find the critical value(s)
d. Compute the test statistic.
e. Given c and d, state your decision
Click here to see answer by Boreal(15235) |
Question 1158344: You wish to test the following claim (Ha) at a significance level of α=0.01.
Ho:μ=54.4
Ha:μ<54.4
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25 with mean M=42.1
and a standard deviation of SD=15.4.
What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = ________.
The p-value is...
a)less than (or equal to) α
b)a greater than α
This p-value leads to a decision to...
a)reject the null
b)accept the null
c)fail to reject the null
As such, the final conclusion is that...
a)There is sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.
b)There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.
c)The sample data support the claim that the population mean is less than 54.4.
d)There is not sufficient sample evidence to support the claim that the population mean is less than 54.4.
Click here to see answer by Boreal(15235) |
Question 1158464: A political candidate has asked you to conduct a poll to determine what percentage of people support her.
If the candidate only wants a 8% margin of error at a 90% confidence level, what size of sample is needed?
Give your answer in whole people.
Click here to see answer by Boreal(15235) |
Question 1158461: SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?
Click here to see answer by Boreal(15235) |
Question 1158339: Rutter Nursey Company packages its pine bark mulch in 50-pound bags. From a long history, distribution follows a normal distribution with the standard deviation of 3 pounds per bag. A sample of 10 bags found the mean being 48.18 pounds. Can Ms. Rutter conclude the mean weight of the bags is less than 50 pounds? Use the .05 significance level.
a. Which distribution are you using?
b. State the hypotheses
c. Find the critical value(s)
d. Compute the test statistic.
e. Given c and d, state your decision
Click here to see answer by Boreal(15235) |
Question 1158482: Refer to the contingency table shown below.
Smoking by Race for Males Aged 18-24
Smoker
(S) Nonsmoker
(N) Row Total
White(W) 290 560 850
Black(B) 30 120 150
Column Total 320 680 1,000
Click here for the Excel Data File
(a) Calculate the probabilities given below (Round your answers to 4 decimal places.):
i.P(S) 0.3200 0.3200 Correct
ii.P(W) 0.8500 0.8500 Correct
iii.P(S | W) 0.2720 0.2720 Incorrect
iv.P(S | B) 0.0300 0.0300 Incorrect
v. P(S and W) 0.9062 0.9062 Incorrect
vi.P(N and B) 0.1765 0.1765 Incorrect
Click here to see answer by jim_thompson5910(35256) |
Question 1158518: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 5 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials?
Round your response to at least three decimal places. (If necessary, consult a list of formulas.)
Click here to see answer by Boreal(15235) |
Question 1158519: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 65% of planted seeds will germinate. Suppose the manufacturer is correct. If 9 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate?
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Click here to see answer by Boreal(15235) |
Question 1158550: Suppose you record the time spent for lunch for seven days and the results are: 10, 13, 15, 13, 16, 21, and 18 minutes. If the population (all days) is normally distributed, construct a 98% confidence interval for the population mean.
Click here to see answer by Boreal(15235) |
Question 1158552: It is known that 1.3% of all car tires produced in a tire factory is defected. Suppose you randomly select 60 car tires for inspection. What is the probability that more than 1.5% of the 60 car tires is defected?
Click here to see answer by Boreal(15235) |
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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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