Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 757032: A recent survey of 800 randomly selected households in the United States found that approximately 50.5% of the households have Internet access.
a. Check whether the three conditions for computing a confidence interval are met in this case.
b. Regardless of your answer to part a, compute the 95% confidence interval for the proportion of households in the United States that have Internet access. What is the margin of error?
c. What is it that you are 95% sure is in the confidence interval?
d. Interpret this confidence interval.
e. Explain the meaning of 95% confidence.
Click here to see answer by stanbon(75887)  |
Question 757283: The speed of automobiles on a section of I-95 is normally distributed with a population mean of 67 miles per hour and a population standard deviation of 6 miles per hour. A random sample of 40 cars is to be selected for a speed study.
A) What are the shape, mean, and standard deviation of the sampling distribution of the sample mean for samples of size 40?
Shape is normal, mean of the sample means=67 mph, std of the sample means of the size 40 6/ (sqrt
B) What is the probability that the sample mean will be 69 miles per hour or more?
C) What is the probability that the sample mean will be between 65 and 68 miles per hour?
D) What is the probability that the sample mean will be less than 66 miles per hour?
2. Assume that the population proportion of adults having a college degree is 0.35. A random sample of 200 adults is to be selected to test this claim.
A) What are the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 200?
B) What is the probability that the sample proportion will fall within 0.02 of the population proportion?
Click here to see answer by stanbon(75887) |
Question 757189: A bag contains five balls numbered 1,2,3,4,5. Another bag contains six balls numbered 1,2,3,4,5,6. One ball is drawn at random from each bag. Find the probability that (i) one ball is numbered 1 and the other 6, (ii) both balls have an odd number.
Click here to see answer by stanbon(75887) |
Question 757430: I know I have studied this all week but for the life of me I can not figure out how to do this. Please help.
Listed below are the durations(in hours)of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not?
71 98 233 194 166 270 195 379 258 230 390 340 230 243 0
The range of the simple data is____ hours.
The variance of the sample data is_____.
The standard deviation of the sample data is ____ hours.
Is the lowest duration time unusual? Why or why not?
Click here to see answer by stanbon(75887) |
Question 757445: I don't understand how to do these, I have researched all day. Please help.
Which is relatively better a score of 84 on a psychology test or a score of 47 on an economics test? Scores on the psychology test have a mean of 91 and a standard deviation of 10. Scores on the economics test have a mean of 51 and a standard deviation of 6.
A. The psychology test score is relatively better because its z score is less than the z score for the economics test score.
B. The economics test score is relatively better because its z score is greater than the z score for the psychology test score.
C. The psychology test score is relatively better because its z score is greater than the z score for the economics test score.
D. The economics test score is relatively better because its z score is less than the z score for the psychology test score.
Click here to see answer by John10(297)  |
Question 757448: Please help I have managed to get one of these right but I can not get the answer to this one. Thank you in advance for your help.
Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 32 32 32 32 36 37 39 39 41 43 44 44 48 49 55 55 59 59 62 68 72 73
The third quartile Q3 is _____?
Click here to see answer by Cromlix(4381)  |
Question 757609: A box has 20 iPhones in it. Because you are all knowing, you have the information that precisely 5 of the
phones in the box are defective – the remaining phones in the box are not defective.
a. You randomly select 3 iPhones from the box without replacement. What is the probability that none of them are defective?
b. You randomly select 3 iPhones from the box with replacement. What is the probability that they are all defective?
c. You randomly select 6 iPhones from the box without replacement. What is the probability that they are all defective?
Click here to see answer by pmatei(79) |
Question 757614: The probability that a slightly defective soda machine will dispense a soda when properly operated is 0.60. During the day 150 people attempted to use the machine to purchase a soda.
a. What is the expected number of these people who obtain a soda from this machine?
b. With what standard deviation?
Click here to see answer by htmentor(1343)  |
Question 757689: At a local grocery plant, employees must complete new machine setups within 30 minutes.New machine set-up times are normally distributed with a mean of 22 minutes and a standard deviation of 4 minutes.
a. What percent of new machine set ups take more than 30 minutes?
b. What percent of new machine set ups take between 19 and 25 minutes
Thanks!
Click here to see answer by solver91311(24713)  |
Question 757712: Please help me with this question.
The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test
H0: p .45 vs H1: p < .45.
In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.
What is the smallest level of significance at which you could reject the null in favor of the alternative hypothesis? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1234 would be a legitimate entry.
Click here to see answer by reviewermath(1029)  |
Question 757674: What is the difference between the following two regression equations?
y(with an inverted v above it) = bₒ + b₁x y = βₒ + β₁x
Choose the correct answer below:
A. The first equation is for sample data; the second equation is for a population.
B. The first equation is for a population; the second equation is for sample data.
Click here to see answer by MathLover1(20849)  |
Question 757740: You have produced a confidence interval for your supervisor, and she says, "This interval is too wide to be of any practical value." What ae your options for producing a narrower interval in the next study of this same type? Which optioin would you choose if the study might have consequences that are vital to the future of the firm?
Click here to see answer by stanbon(75887) |
Question 757779: Four cards are randomly selected, with replacement, from a standard deck of cards. Determine the probability that all the selected cards are hearts.
I'm taking a stats class this summer and our teacher gave us the answers but I still can't figure out the problem. The answer is 0.003906 . Thanks!
Click here to see answer by solver91311(24713) |
Question 628301: This problem will introduce the learner into a technique called Analysis of Variance. For this course we will only conduct a simple One-Way ANOVA and touch briefly on the important elements of this technique. The One-Way ANOVA is an extension of the independent –t test that can only look at two independent sample means. We can use the One-Way ANOVA to look at three or more independent sample means. Use the following data to conduct a One-Way ANOVA:
Scores - Group
1 - 1
2 - 1
3 - 1
2 - 2
3 - 2
4 - 2
4 - 3
5 - 3
6 - 3
Notice the group (grouping) variable, which is the independent variable or factor is made up of three different groups. The scores are the dependent variable.
Use Excel.
a)What is the F-score;
Are the results significant, and if so, at what level (P-value)?
b)If the results are significant to the following: Click analyze, then click Compare Means, and then select one-way ANOVA like you did previously.
Now click Post Hoc. In this area check Tukey. If there is a significant result, we really do not know where it is.
Is it between group 1 and 2, 1 and 3, or 2 and 3?
Post hoc tests let us isolate where the level of significance was.
So if the results come back significant, conduct the post hoc test as I mentioned above and explain where the results were significant.
What do the results obtained from the test mean?
Click here to see answer by lamboak(1) |
Question 757915: A bag contains 30 red tiles, 15 green tiles, and 5 yellow tiles. One tile is drawn and then replaced. Then a second tile is drawn. What is the probability that the first tile is yellow and the second tile is green?
Click here to see answer by stanbon(75887) |
Question 757910: Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with three possible responses. (Do this on paper. Your instructor may ask you to turn in this work.)
(b) Probability extension: Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Use 5 decimal places.)
Click here to see answer by stanbon(75887) |
Question 757987: There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a bag.
Suppose you select one marble at random. Find the probability of:
a. Getting black marble
b. Getting blue or red
c. Getting other than green
d. Getting other than purple
Click here to see answer by stanbon(75887) |
Question 757992: 6. In a recent poll of 755 randomly selected adults, 585 said that it is morally wrong to not report all income on tax returns. Use a 0.05 significance level to test the claim that 70% of adults say that it is morally wrong to not report all income on tax returns. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis and final conclusion that addresse the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
Identify the correct null and alternative hypotheses. Choose the correct answer below.
A. Hₒ: p = 0.3 B. Hₒ: p = 0.7
H₁: p < 0.3 H₁: P > 0.7
C. Hₒ: p = 0.7 D. Hₒ: p = 0.3
H₁: p < 0.7 H₁: p > 0.3
E. Hₒ: p = 0.7 F. Hₒ: p = 0.3
H₁: p ≠ 0.7 H₁: p ≠ 0.3
Please Some one help me with this
Click here to see answer by stanbon(75887) |
Question 758178: Suppose you have 10 numbers drawn at random from the uniform distribution between 0 and 1. Explain how you would use these numbers to draw a random sample (with replacement) of size 10 from the population described by the stemplot below.
0
0
7 8 0 1
7 8 0 1 2
5 6 7 8 9 0 1 2
0 0 0 0 0 0 1 1 1 1 1
The stem plot isn't appearing in the preview correctly, but maybe if you can share the concept of getting the answer, I can work out the rest.
Click here to see answer by avindra(1) |
Question 758231: A department store manager has decided that dress code is necessary for team coherence. Team members are required to wear either blue shirts or red shirts. There are 9 men and 7 women in the team. On a particular day, 5 men wore blue shirts and 4 other wore red shirts, whereas 4 women wore blue shirts and 3 others wore red shirt. Apply the Addition Rule to determine the probability of finding men or blue shirts in the team.
Click here to see answer by stanbon(75887) |
Question 758269: a box contain a four red, three black, and five white marble. two marbles are randomly drawn from this box and the color of these marbles is observed.
1) write all the possible observations.
2)calculate the probability of selecting two marbles of same color.
Click here to see answer by Theo(13342)  |
Question 758249: A brewery's filling machine is adjusted to fill bottles with a mean of 33.2 oz. of ale and a variance of 0.006. Periodically, a bottle is checked and the amount of ale noted.
a) Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 33.33 oz? (correct 4 decimals)
b) Let's say you buy 103 bottles of this ale for a party. How many bottles would you expect to find containing more than 33.33 oz. of ale? (correct whole number)
Click here to see answer by Theo(13342) |
Question 758263: What is the probability that a that a worker at Random drives more that 15 miles to work if the distribution of all worker’s mileage is a Normal Distribution that ranges from 2 miles to 28 miles?
Click here to see answer by Theo(13342) |
Question 758179: A really bad carton of 18 eggs contains 7 spoiled eggs. An unsuspecting chef picks 4 eggs at random
for his “Mega-Omelet Surprise.” Find the probability that the number of unspoiled eggs among the
4 selected is
a. exactly 4 b. 2 or fewer
Click here to see answer by Theo(13342) |
Question 758340: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 135 and a variance of 4. The material is considered defective if the breaking strength is less than 131 pounds. What is the probability that a single, randomly selected piece of material will be defective?
Click here to see answer by stanbon(75887) |
Question 758327: The complete cycle of a fly’s life is 80 days. It spends 10 days as an egg, 40 days in larval form, and lives as a mature adult for 30 days. At a randomly chosen time, what is the probability that a given fly will NOT be in its adult form?
Click here to see answer by stanbon(75887) |
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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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