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Question 460448: Hi there, I'm having difficulties attempting to solve this problem:
A survey found that out of 1000 athletes, 200 were runners and 150 were developing knee problems. If being a runner and developing knee problems are dependent, then what is the least number of the 150 that were developing knee problems that could be expected to be runners?
Thanks,
Calvin
Click here to see answer by edjones(8007)

Question 460443: at a hospital maternity ward,
the hospital staff wants a probability distribution for the number of babies arriving each hour.
what is the probability exactly 7 babies are born during the next hour?
what is the probability than fewer than 3 babies are born during the next hour?
Click here to see answer by Tatiana_Stebko(1539)

Question 460435: A doctor says that greater than 20% of US adults chew tobacco. In a random sample of 170 US adults, 15.5% say they chew tobacco. At alpha = .05, is there enough evidence to reject the doctor's claim?
null: > or equal to .20
alternative: < .20
Left tailed test
Click here to see answer by edjones(8007)

Question 460521: Search: Tickets are numbered 1 to 50 and placed in a box. Three tickets are drawn at random without replacement. What is the probability that their numbers are greater then 25?
A) 1/8
B) 23/196
C) 69/625
D) 1/2
Click here to see answer by richwmiller(17219)

Question 460526: mean is 60 and the standard deviation is 4.. Find the proability that X is less than 55.
Click here to see answer by edjones(8007)

Question 460531: The probability that a given tourist goes to the amusement park is 0.47, and the probability that she goes to the water park is 0.58. If the probability that she goes either to the water park or the amusement park is 0.95, what is the probability that she visits both of the parks on vacation?
Click here to see answer by edjones(8007)

Question 460535: Can someone please solve this. I just can't figure this stuff out.
A card is drawn at random from a standard 52-card deck. Find the
probability that the card is not a queen.

Click here to see answer by Alan3354(69443)

Question 460530: Suppose you draw 5 cards froma standard 52-card deck
What is the probability that you draw 4 cards from one suit and one from another?
What is the probability of drawing exactly one pair?
Click here to see answer by edjones(8007)

Question 460527: Suppose you draw 5 cards from a standard 52-card deck. What is the probability you will draw a run of five, all in the same suit?
Click here to see answer by edjones(8007)

Question 460528: Suppose you draw 5 cards froma standard 52-card deck. What is the probability of drawing all kings and an ace?
Click here to see answer by edjones(8007)

Question 460542: Four day old baby needs a blood transfusion of AB+ blood, found only in 3% of the population. If a blood drive collects 152 pints of blood, what is the probability that at least one pint of AB+ was collected?
Click here to see answer by edjones(8007)

Question 460555: The average of the squares of seven consecutives integers is 53. The average of these integers is?
Click here to see answer by solver91311(24713)

Question 460555: The average of the squares of seven consecutives integers is 53. The average of these integers is?
Click here to see answer by Edwin McCravy(20054)

Question 460555: The average of the squares of seven consecutives integers is 53. The average of these integers is?
Click here to see answer by richard1234(7193)

Question 460571: A factory needs two raw materials, say E and F. The probability of not having an adequate supply of material E is 0.06, whereas the probability of not having an adequate supply of material F is 0.04. A study shows that the probabilty of a sgortage of both E and F is 0.02. What is the probability of the factory being short of either material E or F?
Click here to see answer by stanbon(75887)

Question 460554: You want to estimate, with 95% confidence, the population proportion of U.S. adults who drive a car. Your estimate must be accurate within 2% of population proportion. No preliminary estimate is given. Find the minimum sample size needed. Find the minimum sample size needed, using prior study showing that 67% of U.S. adults drive a car.

Click here to see answer by stanbon(75887)

Question 460553: Find the critical values and rejection region for a 2-tailed test with alpha = .05
Click here to see answer by stanbon(75887)

Question 460551: if you intervied 30 people and recorded their mean,median,and mode what would it be ?
Click here to see answer by stanbon(75887)

Question 460412: Identical question as one posted but different numbers to calculate. Please look!\Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At α = .05, is the correctness of the prediction different for the two types of cola drinkers? Could respondents identify their favorite brand in this kind of test? Since it is a 2 � 2 table, try also a two-tailed two-sample z test for π1 = π2 (see Chapter 10 � test of two proportions) and test whether your results are the same as using the Chi-square test for independence. Which test is preferable? Why?
You need to run or to calculate both a Chi-square test of independence and a test of two sample proportions. The p values will be nearly identical if you run both test correctly. The sample size is 368, with 152 for the regular cola drinkers and 216 for the diet cola drinkers. Can Cola Drinkers Tell The Difference?

Correct? Regular Cola Diet Cola Row Total
Yes 56 56 112
No 96 160 256
Col Total 152 216 368
My answer...
Answer:
Ho: cola type and guessing results are the same
Ha: Results are not the same
Ran a 2X2 Chi-Square with the following results:
Test statistic = 5.02
P-Value = .0250
The p- value is greater than 5%, fail to reject the Ho and the results for both colas are the same.
Chi-square Contingency Table Test for Independence

Col 1 Col 2 Total
Row 1 56 56 112
Row 2 96 160 256
Total 152 216 368

5.02 chi-square
1 df
.0250 p-value

Two sample z-test: (can't get this one!) Please advise...and thank you!
Ho: u1=u2
Ha: u1 is unequal to u2

Click here to see answer by stanbon(75887)

Question 460598: Help!

Are the two events dependent or independent? Explain.
a. Toss a dime, and then toss a quarter.
b. Pick a card from a deck of cards. Keep the card and pick another.
Click here to see answer by sudhanshu_kmr(1152)

Question 460522: Records show that 28% of all payments to a mail-order company are submitted after the due date. Suppose 50 payments are submitted this week. Let r be a random varible that represents the number of payments that are late. Use the normal approximation to the binomial to estimate:
A. P(r>_ >20)

B. P(20<_ r<_25)

I was unable to place the _ under the < > Signs
_ _
Click here to see answer by edjones(8007)

Question 460625: Consider a population with �= 78.5 and σ= 5.24. Calculate the z score for x ̅=80.4 from a sample size of 17. I tried and I got 1.50. I'm unsure if its correct.
Click here to see answer by edjones(8007)

Question 460593: The probability that a new battery will last 6 months is 0.9 and that it will last 1 year is 0.75. At the end of 6 months, what is the probability that the battery will last until the end of the first year?
Click here to see answer by edjones(8007)

Question 460651: Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for the sample score, and (c) your conclusion. Assume that all populations are normally distributed.
Study / � / σ / Sample Score / p / Tails of Test
A / 100.0 / 10.0 / 80 / .05 / 1 (low predicted)
B / 100.0 / 20.0 / 80 / .01 / 2
C / 74.3 / 11.8 / 80 / .01 / 2
D / 16.9 / 1.2 / 80 / .05 / 1 (low predicted)
E / 88.1 / 12.7 / 80 / .05 / 2

Click here to see answer by edjones(8007)

Question 460611: There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 2/5 of the remaining houses were sold. How many houses are left to be sold?
Click here to see answer by rfer(16322)

Question 460728: A bag contains 20 batteries, of which six are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good.
>3/5
>3/10
>3/38
>9/100
please show me how you get the answer?

Click here to see answer by jim_thompson5910(35256)

Question 460723: Type I and Type II errors
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time,U , spent by customers at the supermarkets has been reported to be 38 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that U is greater than 38 minutes .
To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 12 minutes.
Based on this information, answer the questions below.

1.Null hypothesis
2.Alternative hypothesis
3.what is the type 1 error
4.suppose decides to reject the null
Click here to see answer by stanbon(75887)

Question 460715: Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 65 satisfaction ratings to provide evidence supporting the claim that the man composite satisfaction rating for the XYZ-Box exceeds 42
Click here to see answer by stanbon(75887)

Question 460767: A doctor says that less than 25% of US adults chew tobacco. In a random sample of 170 US adults, 18.5% say they chew tobacco. At alpha = .05, is there enough evidence to reject the doctor's claim?
Since I don't have a standard deviation, do I use t-distribution? Or do I use binomial distribution and find it by square root of npq?
Click here to see answer by stanbon(75887)

Question 460655: Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for the sample score, and (c) your conclusion. Assume that all populations are normally distributed.
18. A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal change of 58. From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. (a) Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. (b) Then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).

Click here to see answer by stanbon(75887)

Question 460372: 3. Given that P(A) = 0.5 and P(B) = 0.4, and P(A and B) = 0.20, determine P(B|A). (Points : 3)
0.20
0.50
0.18
0.40

Click here to see answer by robertb(5830)

Question 460888: If Wade has 20 different possible work shirt options, Tyler has 22 and Phil has 25�what is the statistical probability that they would all three wear the exact same sky blue polo shirt, without prior discussion, on a random Tuesday in June?
Click here to see answer by edjones(8007)

Question 460885: Eighty-five percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a random sample of 120 Americans, find the mean, variance and standard deviation for the number who favor government spending for alternative fuels.
Click here to see answer by edjones(8007)

Question 460844: The scores of adults on an IQ test are approximately Normal with mean 100 and standard deviation 15. Corinne scores 128 on such a test. She scores higher than what percent of all adults?
Click here to see answer by edjones(8007)

Question 460846: The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 272 days and standard deviation 16 days. 95% of all pregnancies last between
Click here to see answer by edjones(8007)

Question 460812: a student was given a wrong test paper which had 10questions he had to put 1 answer as true or false what will be the chance of him getting 6 questions right to pass?
Click here to see answer by edjones(8007)

Question 460909: Six students are chosen at random.
They are asked to stand in front of the class.
What is the probability they will be standing in alphabetical order, left to right?
Can you please explain how you derived your answer. Thank you
Click here to see answer by edjones(8007)

Question 460966: Is there a formula to follow for probabilities in Algebra high school level?

Click here to see answer by stanbon(75887)

Question 460948: Suppose that an insurance agent for Almost Heaven Insurance claims that less than 20% of his life insurance policies ever have to "pay out." You decide to test his claim at the a=0.02 significance level. A sample of 75 policies from last year finds that 30 of them had to pay out. The hypotheses is as follows: Ho: p>(underlined) 0.20 and H1: p< 0.20. with a critical value of -2.05 compute the sample statistic and choose the appropriate solution.

Solution is either A) We cannot reject HO, thus it may be that at least 20% of the policies pay out or B) We reject Ho, thus less than 20% of the policies pay out.
Click here to see answer by edjones(8007)

Question 460959: Choose one number at random from 1, 2, 3, 4, ... , 999, 1000. What is the probability that the number drawn
a.) is less than 100?
b.) has exactly two digits?
c.) is divisible by 2?
d.) is divisible by 2 or 25?
e.) has exactly four digits?
f.) has digit(s) that add up to two?
Click here to see answer by edjones(8007)

Question 460938: Suppose that a company CEO claims that a majority of his employees carry secondary health insurance. You decide to test his claim using a significance level of 1 = 0.05. A sample of 150 employees finds that 87 of them carry secondary health insurance. 1st, you set up your hypotheses as follows:
Ho:ρ ≤ 0.50
H1:ρ > 0.50 (claim)
z = 87/150 - 0.50/√0.50 x 0.50/150
= 1.9596
Compute the probability of getting a sample statistic at least as extreme as z = 1.9596 and interpret this probability value.

Click here to see answer by stanbon(75887)

Question 461058: The scores on a college entrance exam are normally distributed. the mean score is 510, and the standard deviation is 80.
A.)of the 50,000 people who took the exam, how many people scored between 430 and 590?
B.)a student must score above 750 on the college entrance exam to qualify for a full scholarship at carleton university. what percentage of the people who took the exam will qualify?
please help me:) thanx:)
Click here to see answer by jim_thompson5910(35256)

Question 461124: you randomly select a card from a 52-card deck. What is the probability that the card is either an 8 or black?
Click here to see answer by richard1234(7193)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 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