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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 297954: A company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26 miles per gallon. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.02 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have failed to attain their fuel economy goal?
a) write appropriate hypothesis =
b) Are the necessary assumptions to perform inference satisfied?
c) Test the hypothesis and find the P-value
d) Explain what the P-value means in this context
e) State an appropriate conclusion
Click here to see answer by alanc(27)

Question 298036: hi,here's my question
consider the experiment involving rolling a single die once.
what is p(even or odd)?
Click here to see answer by JBarnum(2146)

Question 298155: What is the probability that the random variable is less than or equal to 75 if the mean is 20 and the standard deviation is 4?
Click here to see answer by stanbon(75887)

Question 298176: What is the probability of tossing a number cube 12 times and getting exactly six 6's?
My answer key says .0066, but I get a different answer. I thought it would be 1/6 to the power of 6, or 1/3 to the power of 6.
Can you please help?
Thank you very much!!!
Click here to see answer by stanbon(75887)

Question 298147: Use the 68-95-99.7 rule to find the following quantities:
a.Percentage of scores less than 100
b. Relative frequency of scores less than 120
c.Percentage of scores less than 140
d. Percentage of scores less than 80
e. Relative frequency of scores less than 60
f. percentage of scores greater than 120
Click here to see answer by stanbon(75887)

Question 298102: A study regarding the relationship between age and the amount of stress sales personnel feel in relation to their jobs revealed the following sample information. At the .01 significance level, is there a relationship between job stress and age?
Age (Years) Low Medium High
Less than 25: 20 18 22
25-39: 50 46 44
40-59: 58 63 59
60 and older: 34 43 43

Click here to see answer by stanbon(75887)

Question 298234: A brain of water softener salt comes in package marked net weight 40 lb. The company that packages it claims that the bag contains an average of 40lb of salt and the standard deviation of the weight is 1.5lb. Assume that the weights are normally distributed.
a. Obtain the probability that the weight of one randomly selected bag of water-softener salt will be 39 lb or less if the company's claim is true.
b. determine the probability that the mean weight of 10 randomly selected bags of water-softener salt will be 39 lb or les if the company's claim is true.
c. I you bought one bag of water-softener salt and it weighed 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.
d. If you bought 10 bags of water-softener salt and their mean weight was 39 lb, would you consider this evidence that the company's claim is incorrect? Explain your answer.

Click here to see answer by stanbon(75887)

Question 298272: Can anybody HELP! with these questions, Greatly appreciated. Thank You All.
A) What role does a sample play in determining the point estimate? Let's say we're trying to determine the average age of a town; how might we use a sample to do this?
B)What is a confidence interval centered on? How do we determine its width? What role does the level of confidence play?
If α = 0.10, and we have a one-tailed situation, what would be the critical value? What would be the corresponding critical region?

C)"Level of confidence"
What does the level of confidence tell us about a confidence interval? What are typical values of the level of confidence?
Let's say we're trying to prove that the population mean is greater than 15. What would be the null hypothesis?
D) "Type 1 error"
Assume that the analysis was conducted properly; why was the null hypothesis rejected, even though it is true?
E) "Critical region"
α is the likelihood of a Type I error. How do we calculate the critical value, knowing α?
F)What is the relationship between the maximum error of estimate and the width of a confidence interval? How is the maximum error of estimate calculated?

Click here to see answer by stanbon(75887)

Question 298277: Do a two-sample test for equality of means assuming unequal variances.

c.
Comparison of credits at time of graduation for randomly chosen accounting and economics students:
xbar= 139, s1 = 2.8, n1 = 12, xbar2= 137, s2 = 2.7, n2 = 17, α = .05, right-tailed test.

For each solve:
Degrees of Freedom (df)
Standard Error (SE)
t-calculated (t-calc)
P-value
t-critical (t-crit)

Click here to see answer by richwmiller(17219)

Question 298414: A state has license plates with 3 letters and 3 numbers. if the letter x is never used, how many possible different plates could there be.
Click here to see answer by Fombitz(32388)

Question 298503: ten people are entered in a race. if theres no ties, in how many ways can the first two come out?
Click here to see answer by user_dude2008(1862)

Question 298523: There are 60% heating equipment 25% electrical equipment and 15% plumbing equipment in a store, what is the probability that at least 3 out of 5 of the items bought are heating equipment?
Click here to see answer by stanbon(75887)

Question 298505: ten people are entered in a race. if there's no ties, in how many ways can the first two places come out?
Click here to see answer by user_dude2008(1862)

Question 298402: The state of Florida has a lottery in which 6 numbers out of 53 are drawn at random. What's the probability of a given ticket matching all 6 numbers in any order?
Click here to see answer by stanbon(75887)

Question 298612: In a class containing 10 boys and 8 girls 5 students are chosen
(a)what is the probability that at least one girl is chosen
(b)what is the probability that all boys will be chosen
(c)what is the probability that all girls will be chosen
(d)what is the probability that exactly 2 girls and 3 boys will be chosen
Click here to see answer by Jeff Gordon(65)

Question 298588: If there are six contestants in a contest, in how many ways can 1st, 2nd and 3rd prize be won?
Click here to see answer by stanbon(75887)

Question 298696: A true-false test contains 24 questions. In how many different ways can the 24-question test be answered?
Click here to see answer by user_dude2008(1862)

Question 298690: A bag contains 8 blue marbles & 5 green marbles. A marble is drawn & replaced. A second marble is drawn. Find the probability that a blue marble is drawn both times.
Click here to see answer by user_dude2008(1862)

Question 298823: 1. By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 5.1 seconds.

Answer each of the following (show all work):

(A) How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 1.5 seconds?

(B) What sample size is required for a maximum error of 2.5 seconds?
2. Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:

(A) Ho: ≤ 20 and Ha:  > 20, α = 0.05
(B) Ho:  = 25and Ha:  ≠ 25, α = 0.01
(C) Ho:  ≥ 18and Ha:  < 18, α = 0.01
3. A 99% confidence interval estimate for a population mean was computed to be (42.0 to 50.0). Determine the mean of the sample, which was used to determine the interval estimate (show all work).

Click here to see answer by alanc(27)

Question 298904: On a standard measure of hearing ability, the mean is 300 and the standard deviation
is 20. Give the Z scores for persons who score (a) 340, (b) 310, and
(c) 260. Give the raw scores for persons whose Z scores on this test are (d) 2.4,
(e) 1.5, (f) 0, and (g)-4.5
I'm having so much trouble with this course!!!!!!!
Click here to see answer by stanbon(75887)

Question 298927: When drawing cards without replacement from a standard 52-card deck , find the maxium.
Click here to see answer by Jeff Gordon(65)

Question 298937: If p(A)=0.333what are the odds in favor of A occurring?
Click here to see answer by Jeff Gordon(65)

Question 298921: 3+5+5+5+7 =5, so the _________ of the data is 5
_________
5
Click here to see answer by Stitch(470)

Question 298922: In a hybrid corn research project, 200 seeds were planned, and 170 of them germinated. Find the empirical probability that any particular seed of this type will germinate.
My answer is P(E)= 200/170 however I don't believe I am understanding this

Click here to see answer by jim_thompson5910(35256)

Question 298959: To qualify for security officers� training, recruits are tested for stress tolerance. The scores are normally distributed, with a mean of 62 and a standard deviation of 8. If only the top 15% of recruits are selected, find the cutoff score.
Click here to see answer by stanbon(75887)

Question 298958: In the past year, 13% of businesses have eliminated jobs. If five businesses are selected at random, find the probability that at least three have eliminated jobs during the last year.
Click here to see answer by stanbon(75887)

Question 298956: Find the probability of randomly selecting 2 mathematics books and 3 physics books from a box containing 4 mathematics books and 8 physics books.
Click here to see answer by stanbon(75887)

Question 298953: In a large vase, there are 8 roses, 5 daisies, 12 lilies, and 9 orchids. If 4 flowers are selected at random, find the probability that at least one of the flowers is a rose.
Thank you very much
Click here to see answer by stanbon(75887)

Question 298997: If a coin is flipped twice, what is the probability that it will land heads at
least once?
Click here to see answer by stanbon(75887)

Question 298925: For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability, and (b) the odds in favor, of each event.

(1) Not an ace
(2) Club or heart
(3) Not a heart or a seven
Click here to see answer by stanbon(75887)

Question 298986: In the United States, one farmworker supplied agricultural products for an average of 106 people. Assume the standard deviation is 16.1. If 35 farmworkers are selected, find the probability that the mean number of people supplied is between 100 and 110.
Click here to see answer by stanbon(75887)

Question 299057: 7 green 8 blue one white marble
find the probabilty of 2 blue marbles in a row without replacement
Click here to see answer by checkley77(12844)

Question 299130: How many four-digit odd numbers less than 6000 can be formed using the digits 2,4,6,7,8,9?
Click here to see answer by Edwin McCravy(20054)

Question 299209: Select a company of your choice and collect the financial statements of that company for past 3 years.Calculate the ratios which are relevant to the working capital management of that company.
Click here to see answer by Deina(147)

Question 299235: If A and B are mutually exclusive events with P(A) = 0.70, then P(B):
Click here to see answer by stanbon(75887)

Question 299129: Suppose that you are designing an instrument panel for a large industrial machine.
The machine requires the person using it to reach 2 feet from a particular position.
The reach from this position for adult women is known to have a mean of 2.8 feet
with a standard deviation of .5. The reach for adult men is known to have a mean
of 3.1 feet with a standard deviation of .6. Both women�s and men�s reach from
this position is normally distributed. If this design is implemented, (a) what percentage
of women will not be able to work on this instrument panel? (b) What percentage
of men will not be able to work on this instrument panel? (c) Explain your
answers to a person who has never had a course in statistics.
Sooo stuck!!!! Please help!!!
Click here to see answer by stanbon(75887)

Question 299280: In a population there are 60 scores; the distribution has a mean of 45 and a standard deviation of 25. A score of 85 from this population ________________.
Click here to see answer by stanbon(75887)

Question 299296: In March 2004, vegas.com gave odds on who would win the 2004 World Series. They gave the New York Yankees 2 to 1 odds and gave the Boston Red Sox 5 to 2 odds. (these are odds against)
a.) convert both odds to the probability of winning.
b.) who did they think was more like to win and why?
c.) If you had bet $10 on the Boston Red Sox, and they went on to win the World Series, how much money did you win, in addition to having your wager returned?
Click here to see answer by stanbon(75887)

Question 299382: lock combinations are made by using 4 digits. how many different lock combinations can be made if repetition of digits is allowed?
Click here to see answer by Alan3354(69443)

Question 299421: A bag has 2 black and 4 white marbles. Two are selected at random without replacement. What is the probability that both are black or both are white?
Click here to see answer by Greenfinch(383)

Question 299448: Please help me solve this question on binomial probability.
Question 37% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to
4.2.21. name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is
(a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.
(a) P(3) = (Round to the nearest thousandth as needed.)
(b) P(x 4) E (Round to the nearest thousandth as needed.)
(c) P(x 2) = (Round to the nearest thousandth as needed.)

Click here to see answer by stanbon(75887)

Question 299617: How do you find probability distribution?
Click here to see answer by helpnalgebra(91)

Question 299678: If two events are collectively exhaustive, what is the probability that one or the other occurs?
a. 0.25
b. 0.50
c. 1.00
d. Cannot be determined from the information given.
Click here to see answer by mathitutor(25)

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, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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