Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 332017: Silver Gym’s aerobic class grew so large that the class had to be split in half and offered on two different nights. Silver also hired a new aerobic leader to handle the Tuesday night class, whereas an existing staff member continued to handle the Thursday night class. Concerned about customer satisfaction with the new leader, Silver Gym’s management decided to secure a leader-approval rating from each class after four weeks. Results are shown in the table below:
·
· Tuesday Thursday
Class size 38 41
Mean Approval Rating 87.3 89.7
Standard Deviation 7.4 6.3
Did the new leader of the Tuesday night class receive a lower approval rating than the leader of the Thursday night class? Set up and test your hypotheses at a = 0.05.
Click here to see answer by jrfrunner(365)   |
Question 332224: Can you please show me how to answer this?
For a particular sample of 50 scores on a psychology exam, the following results were obtained.
First quartile = 66 Third quartile = 92 Standard deviation = 9 Range = 49
Mean = 74 Median = 82 Mode = 83 Midrange = 73
Answer each of the following; show all work.
- What score was earned by more students than any other score? Why?
- What was the highest score earned on the exam?
- What was the lowest score earned on the exam?
- According to Chebyshev's Theorem, how many students scored between 56 and 92?
- Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 56 and 92?
Click here to see answer by jrfrunner(365) |
Question 332299: Albert has 3 daughters, Kate, Liz and Marina. 2 of them are Blonde and one, Brunette. If kate is Blonde, then so is Elizabeth; If Elizabeth is Blonde then so is Marina. Based on this information, which of the following is certainly true and why?
a) Liz is Brunette and Kate Blonde
b) Kate is Brunette and Marina Blonde
c) Marina and Elizabeth are Brunettes
d) Kate is Blonde, and Marina is Brunette
e) Kate and Liz are Blonde
Click here to see answer by solver91311(24713)  |
Question 332409: Find the indicated probability.A study conducted at a certain college shows that 54% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 9 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Click here to see answer by edjones(8007)  |
Question 332564: Hello Can someone please help me I stuck on this problem. Please help me I did work most of the problem but I stuck where it come to the Chebyshev's Theorem. Thank you so much for your help.
1. For a particular sample of 50 scores on a psychology exam, the following results were obtained.
First quartile = 44 Third quartile = 68 Standard deviation = 9 Range = 55
Mean = 51 Median = 54 Mode = 71 Midrange = 64
Answer each of the following; show all work.
- What score was earned by more students than any other score? Why?
(a) 71 was the score obtained by students more than any other score. This is because the mode is 71.
- What was the highest score earned on the exam? 78
Answer: Range =55
Midrange =64
Highest score = Midrange + =64 +27.5 = 91.5
What was the lowest score earned on the exam?
-
Lowest Score = Midrange – range/2 = 64 –27.5 = 36.5
- According to Chebyshev's Theorem, how many students scored between 24 and 78?
- Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 24 and 78?
Click here to see answer by solver91311(24713) |
Question 332582: for the following data set, approximate the sample standard deviation.
miles (per day)---Frequency
1-2--------------- 9
3-4--------------- 22
5-6--------------- 28
7-8--------------- 15
9-10-------------- 14
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Question 332694: Hello My name is Helen my book is statistical ideals my e-mail is sugar6@aol.com
i really need help with my homework this problem , i tried to figure it out but got it wrong . the question to this problem is concern how to collect a random sample of 800 airline passengers 100 particular flights leaving 200 passengers aboard each flight.
1. decribe how to draw the sample as a stratified random sample using 100 flights as the strats 2. ,,, draw the sample as a cluster randon sample using as the cluster 3. ,,,, draw the sample as a systematic sample from these flights
Click here to see answer by jrfrunner(365) |
Question 332867: A drug is known to be 80% effective in curing a certain disease. If four people with the disease are to be given the drug, the probability that more than two will be cured is? Answer 0.8192
Referring to the previous question. The expected number of people cured is?
Click here to see answer by jrfrunner(365) |
Question 333028: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1143 were positive.
A. Construct a 95% confidence interval for the population proportion of positive drug tests.
B. Why is the normality assumption not a problem, despite the very small value of p?
Click here to see answer by jrfrunner(365) |
Question 333027: A random sample of tootsie rolls. The results in grams were: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
A. Construct a 90% confidence interval for the true mean weight.
B. What sample size would be neccessary to estimate the true weight with an error of +0.03 grams with 90% confidence.
C. Discuss the factors which might cause variation in the weight of the tootsie rolls during manufacture.
Click here to see answer by jrfrunner(365) |
Question 332991: If the correlation coefficient is -0.79, what is the sign of the slope of the regression line? As the correlation coefficient increases from 0.21 to 0.28, do the points of the scatter plot move towar the regression line or away from it?
Click here to see answer by jrfrunner(365) |
Question 333068: A pizza shop owner determines the number of pizzas that are delivered each day. Find the mean, variance, and standard deviation for the distribution shown. If the manager stated that 45 pizzas were delivered on one day, do you think that this is a believable claim?
# of deliveries and probabilies
35 .1
36 .2
37 .3
38 .3
39 .1
I have all the answers (mean, variance, and standard deviation), I just need to know if 45 is believable and why?
Click here to see answer by jrfrunner(365) |
Question 333173: three balls are randomly selected without replacement from a bag containing 20 balls numbered 1, 2 through 20. if we bet that at least one of the balls has a number greater than or equal to 17 what is the propability that we will win the bet
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Question 333201: Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of winning.
I cant figure out this problem help would be greatly appreciated. Thank you.
Click here to see answer by stanbon(75887) |
Question 333201: Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of winning.
I cant figure out this problem help would be greatly appreciated. Thank you.
Click here to see answer by solver91311(24713) |
Question 333206: Consider a die, which has the face of the 1-spot and the 5-spot, painted red. The remaining faces of the die are white. You roll this die 12 times. It either lands with a white face up, or a red face up.
a. What is the probability of getting exactly 7 red faces in these 12 rolls?
b. What is the probability of getting at least 4 white faces in 12 rolls?
Statics homework is kicking my butt, help would be greatly appreciated. Thanks again.
Click here to see answer by solver91311(24713) |
Question 333206: Consider a die, which has the face of the 1-spot and the 5-spot, painted red. The remaining faces of the die are white. You roll this die 12 times. It either lands with a white face up, or a red face up.
a. What is the probability of getting exactly 7 red faces in these 12 rolls?
b. What is the probability of getting at least 4 white faces in 12 rolls?
Statics homework is kicking my butt, help would be greatly appreciated. Thanks again.
Click here to see answer by stanbon(75887) |
Question 333211: You are measuring the response of a new automobile braking system and are determining skid distance during panic braking.
You are willing to accept an error of 2 feet.
You choose to work at the 5% level of significance.
From historical data, you know that the range of data for all skidding stops is about 24 feet
Thank you!
Click here to see answer by stanbon(75887) |
Question 333209: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
a. a measurement of 72?
b. a measurement between 71.5 and 72.5?
Thanks for the help!
Click here to see answer by stanbon(75887) |
Question 333236: Hello Can someone help me with this problem, I did try to work it but I am not sure.
Consider a binomial distribution with 13 identical trials, and a probability of success of 0.5
i. Consider a binomial distribution with 13 identical trials, and a probability of success of 0.5
i. Find the probability that x = 2 using the binomial tables
ii. Use the normal approximation to find the probability that x = 2. Show all work.
THIS IS WHAT I HAVE SO FAR I AM NOT SURE IF IT IS RIGHT BUT HERE GOES:
P(x = 2) = jpeg will not post
X-=- 2, n=13
p = 0.5
Mean =E(X) = np =13 x 0.5 = 6.5
Standard Dev. = √np (1-p) = √13 x.0.5. x 0.5 =√3.25 =1.8027
√np (1-p) = √13 x.0.5. x 0.5 =√3.25 =1.8027
Please help me that you again.
Thank you.
Click here to see answer by jrfrunner(365) |
Question 333340: Suppose a survey of 890 families with 5 children was done.
a. what is the probability of observing children to be all boys or all girls?
b. what is the expected number of families having 3 boys and 2 girls?
Click here to see answer by stanbon(75887) |
Question 333315: 35 employees who completed two years college were asked to take basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8 respectively. In a random sample of 50 employees who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6 respectively. Estimate with 90% confidence the difference in mean scores between the two groups of employees.
Click here to see answer by stanbon(75887) |
Question 333315: 35 employees who completed two years college were asked to take basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8 respectively. In a random sample of 50 employees who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6 respectively. Estimate with 90% confidence the difference in mean scores between the two groups of employees.
Click here to see answer by jrfrunner(365) |
Question 333318: After sampling from two binomial populations, we found the following:
p = 0.48 n1 = 100 p2 = 0.052 n2 =100
if we estimate with 90% confidence the difference in population proportions, what would be the outome?
Click here to see answer by jrfrunner(365) |
Question 333376: Numbers 1,2,3,4,5,6,7,8,9 are written on seperate cards. The cards are shuffled and the top one turned over. Let A = to an even number. B = to a number greater than 6. Which one of the following statements is incorrect?
1. The sample space is S = {1,2,3,4,5,6,7,8,9}
2. P(A) = 4/9
3. P(B) = 1/3
4. P(A and B) = 1/9
5. P(A or B) = 7/9
Click here to see answer by jrfrunner(365) |
Question 333394: Consider the following statements:
A. The salary of an employee at the hotel is a nominal variable.
B. The distance travelled by motor on a freeway is an interval variable.
C. The outcome of a soccer match is an ordinal variable.
D. Degree obtained at a university is a nominal variable.
Which of the following statements is / are correct?
1. Only A
2. A and C
3. Only C
4. B and D
5. Only D
Click here to see answer by jrfrunner(365) |
Question 333313: 2. A scientist wants to compare two delicate weighing instruments by repeated weighing of the same object. The first scale is used 30 times and the weights have a standard deviation of 72 milligrams. The second scale is used 41 times and the weights have a standard deviation of 98 milligrams. At the 0.05 significance level, test the claim that the second scale produces greater variance.
Click here to see answer by jrfrunner(365) |
Question 333378: Given that P(A) = 0.7, P(B) = 0.6 and P(A and B) = 0.35, which one of the follow statements is incorrect?
1. P(B')=4
2. A and B are not mutually exclusive
3. A and B are independent
4. P(B/A)=0.6
5. P(A or B)=0.95
Click here to see answer by stanbon(75887) |
Question 333514: A baseket contains 6blue,2 red,4 greenand 3 yellow balls
1. if 2 balls are picked at random, what is the probability that either both are
green or both are yellow?
2. If 5 balls are picked at random, what is the probability that at least one is blue.
3. If 2 balls are picked at random, what is the probability that both are blue?
4. If 4 balls are picked at random what is the probability that 2 are red and 2 are green
5.if 3 balls are picked at random what is the probability that none is yellow
Click here to see answer by stanbon(75887) |
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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, 51346..51390, 51391..51435, 51436..51480, 51481..51525
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