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Question 1164705: At a certain large university the weight of the male students and female
students are approximately normally distributed with means and standard
deviations of 180, and 20, and 130 and 15, respectively. If a male and female
are selected at random, what is the probability that the sum of their weights
is less than 280?
Click here to see answer by Boreal(15235)   |
Question 1164666: Consider a normal distribution with a mean of 50 and a standard deviation of 5.
(a) Determine the probability that a random sample of 4 observations has a mean between49 and 52.
(b) Determine the probability that a random sample of 25 observations has a mean between 49 and 52.
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Question 1164784: Please help me to solve this problem :
Q: seven obversation are drawn from a population with an unknown continuous distribution. What is the probability that the least and greatest obversation bracket the median?
Click here to see answer by ikleyn(52754)  |
Question 1164785: Please help me to solve this problem.
Q:At a certain large university, the weight of the male students and female students are approximately normally distributed with mean and standard deviation of 180 and 20 and 130,15 respectively. If a male and female are selected at random, what is the probability that the sum of their weights is less than 280?
Click here to see answer by Boreal(15235) |
Question 1164665: A certain school in Southern Africa has a total of 400 learners. The IQ scores of all these learners has a standard deviation of 69 and is normally distributed. A sample of 50 of these students had a average IQ score of 174.5. Construct a 98% confidence interval for the true average IQ score of all the learners at this college. Interpret this interval, that is explain in simple English (suitable for publication in a local news paper) what the interval you have constructed above represents.
Click here to see answer by Boreal(15235) |
Question 1164190: In November, the rain in a certain valley tends to fall in storms of several days' duration. The unconditional probability of rain on any given day of the month is 0.600. But the probability of rain on a day that follows a rainy day is 0.800, and the probability of rain on a day following a nonrainy day is 0.300.
Find the probability of rain on two randomly selected consecutive days in November.
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Question 1164805: Can i get any link in which i can get solution of M.Sc and M.Phil books
of the following subjects:
(1) Semigroup Theory
(2) Multivariate Analysis
(3) Special Functions
(4) Symmetry Methods For Differential Equations
(5) Abstract Algebra
Click here to see answer by solver91311(24713)  |
Question 1164817: 2. Suppose 88% of all students in a university are local. Of the local students 10% study Engineering while 90% of the overseas students study Engineering. If a randomly selected student is studying Engineering what is the probability that he/she is an overseas student?
Click here to see answer by Boreal(15235) |
Question 1164814: According to the historical data, the life expectancy in the United Kingdom is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 225 individuals from the United Kingdom who died recently are selected at random. The 225 individuals lived a mean of 78.2 years with a standard deviation of 6.5 years. Records of 265 individuals from the United States who died recently are selected at random and independently. The 265 individuals lived a mean of 76.6 years with a standard deviation of 8.1 years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for m1-m2 , the difference between the life expectancy m1 in the United Kingdom and the life expectancy m2 in the United States. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal place
Click here to see answer by Boreal(15235) |
Question 1164829: Round all answers to four decimal places. A factory quality control manager decides to investigate the percentage of defective items produced each day. Within a given work week (Monday through Friday) the percentage of defective items produced was
1.1, 1.9, 3.1, 1.2, 1.3
Click here to see answer by ikleyn(52754) |
Question 1164888: The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 11. Suppose that 47 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
What is the distribution of
X? X~ N(________,________)
What is the distribution of
¯x?¯x~ N(_______,__________)
If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 67.3 and 69.2.
For the 47 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 67.3 and 69.2.
For part d), is the assumption that the distribution is normal necessary? Yes or No
Click here to see answer by Boreal(15235) |
Question 1164895: Suppose that IQ scores have a bell-shaped distribution with a mean of 98 and a standard deviation of 17. Using the empirical rule,what percentage of IQ scores are greater than 64? Please do not round your answer.
Click here to see answer by Boreal(15235) |
Question 1164887: The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.4 years. He then randomly selects records on 38 laptops sold in the past. Round the answers of following questions to 4 decimal places.
What is the distribution of X?X~ N(_______,_________)
What is the distribution of ¯x?¯x~ N(________,_________)
What is the probability that one randomly selected laptop is replaced more than 4.3 years?
For 38 laptops, find the probability that the average replacement time is more than 4.3 year.
For part d), is the assumption of normal necessary? Yes or No
Click here to see answer by Boreal(15235) |
Question 1164902: Roulette wheel.The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black,and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot hasan equal chance of capturing the ball.(a) You watch a roulette wheel spin 3 consecutive times andthe ball lands on a red slot each time. What is theprobability that the ball will land on a red slot on thenext spin?(b) You watch a roulette wheel spin 300 consecutive timesand the ball lands on a red slot each time. What is theprobability that the ball will land on a red slot on thenext spin?(c) Are you equally confident of your answers to parts (a)and (b)? Why or why not?
Click here to see answer by greenestamps(13195)  |
Question 1164951: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about
0.65.
Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland.
Click here to see answer by Boreal(15235) |
Question 1164994: In one study, researchers at a clinic looked at more than 120,000 patients enrolled in 14 international studies in the past 10 years. Among the patients with heart problems, researchers found at least one risk factor in 84.1% of the women and 80.1% of the men.
If a man is selected at random from the men with heart problems, what is the probability he has none of the risk factors?
Click here to see answer by solver91311(24713) |
Question 1165054: a fourth-grade teacher is told that 12 of his students are “gifted,” as determined by IQ tests, and the remaining 12 are not. In reality, the two groups have been carefully matched on IQ and previous school performance. At the end of the school year, the gifted students have a grade average of 87.2 with s = 5.3, whereas the other students have an average of 82.9, with s = 4.4. Perform a t-test to decide whether you can conclude from these data that false expectations can affect student performance; use alpha = .05, two-tailed.
can somoenone show the complete solutions and hypothesis? Thank you so much
Click here to see answer by Boreal(15235) |
Question 1164995: Having a difficult time with this problem...Please help!
Solve the problem.
A standardized math test was given to 6000 students. The scores were normally distributed with a mean of 380 and a standard deviation of 50. How many students scored between 380 and 480?
Click here to see answer by Theo(13342)  |
Question 1165137: a test developed to detect a certain form of cancer and is 99% accurate. For patients that are tested this means the results will be 99% accurate. It is known that 3% of the populations has this type of cancer. Determine the probability that a person who reacts positively to the test does not have the disease.
Click here to see answer by Seutip(231)  |
Question 1165188: a group of people were asked if some people see the future in their dreams. 247 responded yes and 382 responded no. find the probability that if a person is chosen at random, the person does not believe some people see the future in their dreams
Click here to see answer by Seutip(231) |
Question 1165213: Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $136,000. This distribution follows the normal distribution with a standard deviation of $36,000.
If we select a random sample of 78 households, what is the standard error of the mean? (Round your answer to the nearest whole number.)
What is the expected shape of the distribution of the sample mean?
What is the likelihood of selecting a sample with a mean of at least $141,000? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
What is the likelihood of selecting a sample with a mean of more than $131,000? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Find the likelihood of selecting a sample with a mean of more than $131,000 but less than $141,000. (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Click here to see answer by Boreal(15235) |
Question 1165279: In the first quarter of 2019, the average home loan for first time buyers was R950, 000. Assuming a normal distribution and a standard deviation of R70, 000. What proportion of home loans were between R899, 000 and R999, 000 (rounded off to three decimals)
Click here to see answer by Boreal(15235) |
Question 1165220: Let be a standard normal random variable. Use the calculator provided, or this table, to determine the value of .
P(Z c)=0.1788
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Click here to see answer by Boreal(15235) |
Question 1165347: A population of values has a normal distribution with μ=149.1 and σ=24.You intend to draw a random sample of size n=67 .
Find the probability that a single randomly selected value is greater than 143.8.
P(X > 143.8) =
Find the probability that a sample of size n=67 is randomly selected with a mean greater than 143.8.
P(M > 143.8) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Boreal(15235) |
Question 1165344: What type of scale is being used for each of the following measurements?
a. Number of arithmetic problems correctly solved _______________
b. Type of phobia _______________
c. Self-esteem, as measured by self-report questionnaire _______________
d. Annual income in dollars _______________
e. Theoretical orientation toward psychotherapy _______________
f. Heart rate in beats per minute _______________
Click here to see answer by Boreal(15235) |
Question 1165343: A fitness center is interested in finding a 98% 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 244 members were looked at and their mean number of visits per week was 3.5 and the
standard deviation was 1.8.
I understand a and b, but need help with c.
a. To compute the confidence interval use a t distribution.
b. With 98% confidence the population mean number of visits per week is between 3.23 and 3.77 visits.
c. If many groups of 244 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 1165341: In a survey, 25 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of
$43.3 and standard deviation of $11.6. Estimate how much a typical parent would spend on their child's birthday gift (use a 95% confidence
level). Give your answers to 3 decimal places.
Express your answer in the format of
¯x ± Error.
$__________ ± $_____________
Click here to see answer by Boreal(15235) |
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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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