Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1157932: A drawer contains 12 red socks and 8 black socks. Suppose that you choose 2 socks at random in the dark. What is the probability that you get a pair of red socks?
A drawer contains 12 red socks and 8 black socks. Suppose that you choose 2 socks at random in the dark. What is the probability that you get a pair of black socks?
A drawer contains 12 red socks and 8 black socks. Suppose that you choose 2 socks at random in the dark. What is the probability that you do not get a pair of socks?
i missed this lesson on my google meet, hoping i can get some help, thanks
Click here to see answer by ikleyn(52754)   |
Question 1157923: find the probaility of selecting 4 science books and 5 math books from 9 science books and 10 math books. The books are selected at random.
I am doing a study book for sat but i have never done these types of problems so i was wondering if i could get some help
Click here to see answer by greenestamps(13195)  |
Question 1157905: If n=17, ¯x (x-bar)=50, and s=13, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
______ < μ < ________.
Click here to see answer by Boreal(15235)  |
Question 1157903: You measure 47 textbooks' weights, and find they have a mean weight of 59 ounces. Assume the population standard deviation is 3.5 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
________ < μ < __________.
Click here to see answer by Boreal(15235) |
Question 1157904: You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of ¯x=72 hours with a standard deviation of s= 5.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.55 hours at a 99% level of confidence.
What sample size should you gather to achieve a 0.55 hour margin of error? Round your answer up to the nearest whole number.
n =_______bacteria
Click here to see answer by Boreal(15235) |
Question 1157930: The marks on statisties midierm test are normally distobuted witha mean of 78 and a slandard deviation of 6. (a) What proportion of the elass has a midierm ntark ot less than 75? (B) What is the probabilily that class of 50 has an average midterm mark that is less than 75?
Click here to see answer by Boreal(15235) |
Question 1157864: 1) A poll was done where 450 adults were randomly surveyed. 35 % said they were working hard at their jobs and hoped to get a promotion. Calculate and interpret a 95 % confidence interval for the proportion of adults who said they were working hard and hoped for a promotion.
A) p - hat =
Click here to see answer by Edwin McCravy(20054)  |
Question 1157921: c. The manufacturer of the disk drives in one of the well-known brands of microcomputers expects 4% of the disk drives to malfunction during the microcomputer’s warranty period. Calculate the probability that in a sample of 200 disk drives, that not more than three will malfunction. Assume Poisson distribution.
Click here to see answer by Boreal(15235) |
Question 1157945: A surgery conducted that asked 1015 people how many books they had read in the last year. Results indicated that x=13.7 and s=16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval
Click here to see answer by Boreal(15235) |
Question 1157910: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.
(a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?
a.(Ho: p = .08
Ha: p > .08)
b.(Ho: p = .08
Ha: p ≠ .08)
c.(Ho: p = .08
Ha: p < .08)
(b) What proportion of children in this sample are nearsighted?
______ (round to four decimal places)
(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic).
Z = _____(please round to two decimal places)
(d) What is the p-value for this hypothesis test?
p = ____ (please round to four decimal places)
(e) What is the conclusion of the hypothesis test?
a)Since p ≥ α we accept the null hypothesis
b)Since p ≥ α we do not have enough evidence to reject the null hypothesis
c)Since p<α we fail to reject the null hypothesis
d)Since p ≥ α we reject the null hypothesis and accept the alternative
e)Since p<α we reject the null hypothesis and accept the alternative
Click here to see answer by Boreal(15235) |
Question 1158034: Twelve different video games showing substance use were observed and the duration times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the data to construct a 99% confidence interval estimate of mu, the mean duration of game play.
4057
3882
3863
4032
4321
4811
4653
4028
5001
4816
4325
4316
Click here to see answer by Boreal(15235) |
Question 1157880: An employment information service claims the mean annual salary for senior level product engineers is $99,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At alphaequals0.05, test the claim that the mean salary is $99,000. Complete parts (a) through (e) below. Assume the population is normally distributed
100,568
96,388
93,498
112,763
82,529
74,180
76,994
81,043
102,444
76,222
104,001
103,983
91,064
82,156
85,026
110,338
Click here to see answer by Shin123(626)  |
Question 1158050: Among persons donating blood to a clinic 80% have Rh+ .A sample of 15 people who donate blood at the clinic on a particular day.
---Find the mean and the standard deviation of the number of people with Rh+
• Mean=
• Standard deviation =
Click here to see answer by Boreal(15235) |
Question 1158012: In a survey of randomly selected students, students chose their preference from among three meal options for a school event.
Out of a similar group of 450 students, predict how many MORE students would choose the pizza than burgers.
Click here to see answer by ikleyn(52754) |
Question 1158094: For a one-tailed hypothesis test, the critical z-value of the test statistic is -2.33. Which of the following is true about the hypothesis test?A. alpha = 0.05 for a lower-tailed test
B. alpha = 0.01 for a lower-tailed test
C. alpha = 0.05 for an upper-tailed test
D. alpha = 0.01 for an upper-tailed test
Click here to see answer by Boreal(15235) |
Question 1158116: A radio disk jockey has 7 songs on this upcoming hours playlist; 3 are rock songs, 2 are raggae and 2 are country The disk jocky randomly chooses the first song to play, and then randomly chooses the second song from the remaining ones What is the probability that the first song is country and the second song is reggae? Write your answer as a fraction in simplest form
Click here to see answer by ikleyn(52754) |
Question 1158116: A radio disk jockey has 7 songs on this upcoming hours playlist; 3 are rock songs, 2 are raggae and 2 are country The disk jocky randomly chooses the first song to play, and then randomly chooses the second song from the remaining ones What is the probability that the first song is country and the second song is reggae? Write your answer as a fraction in simplest form
Click here to see answer by jim_thompson5910(35256) |
Question 1158152: .The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean weight is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95 percent interval for the population mean?.......A. 14.7 and 16.9
B. 13.2 and 17.6
C. 10.0 and 20.0
D. 16.1 and 18.1
Click here to see answer by Boreal(15235) |
Question 1158205: A random sample of 42 college graduates revealed that they worked an average of 5.5 years on the job before being promoted. The sample standard deviation was 1.1 years. Using the 0.99 degree of confidence, what is the confidence interval for the population mean?.....A. 5.04 and 5.96
B. 5.06 and 5.94
C. 2.67 and 8.33
D. 4.40 and 6.6
Click here to see answer by Boreal(15235) |
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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, 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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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