Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 489207: If anyone can help me with these questions I would really appreciate it!!!!
Using the r calculated in problem 2c test the significance of the correlation coefficient using  = 0.01 and the claim rho  0. Use the 7-steps hypothesis test shown at the end of this project
1. H0:
Ha:
2.  = 0.01
3.
4. the critical value(s) t0
5. Rejection region:
6. Decision:
7. Interpretation:
Guidelines -- Hypothesis Testing Steps:
1. State H0 and Ha.
2. Specify the level of significance alpha .
3. Find the test statistic using the given data.
4. Find the critical value(s) t0. Use the method specified in the problem statement.
5. Define the rejection region using critical value(s)
6. Make a decision to reject or fail to reject the null hypothesis.
7. Interpret the decision in the context of the original claim.

4. The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years.
Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span, y 30 12 6 3 25 12 10 40
a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places. (4 points) Show your work or the Excel output.

b. Using the equation found in Part a, predict the life span when the gestation is 10 months. Round to the nearest absence

Click here to see answer by stanbon(57377)

Question 489203: AM VERY CONFUSED...PLEASE HELP
X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities: SHOW ALL WORK
(A) P(x < 79.0)
(B) P(78.0 < x < 83.0)
(C) P(x > 86.0) (Points : 6)

Click here to see answer by stanbon(57377)

Question 489220: Last fall, a gardener planted 87 iris bulbs. She found that only 72 of the bulbs bloomed in the spring.
1. Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms.
2. How many of the bulbs should she plant next fall if she would like at least 88 to bloom?
I need help with this problem, please. I hope someone can help me. Thank you!
Click here to see answer by stanbon(57377)

Question 489232: please help me with tree diagram part of this problem, and listing the sample space.
Shopping Susan Forman has to purchase a box of cereal, a bottle of soda, and a can of vegetables. The types of cereal, soda, and vegetables she is considering are shown below.
Cereal: Rice Krispies, Frosted Flakes, Honeycomb
Soda: orange, black cherry, ginger ale
Vegetables: peas, carrots
• a) Determine the number of points in the sample space.
• b) Construct a tree diagram and determine the sample space. Determine the probability that she selects
• c) Honeycomb for the cereal.
• d) Rice Krispies and ginger ale.
• e) a soda other than black cherry.

Click here to see answer by stanbon(57377)

Question 489293: PLEASE HELP I HAVE BEEN WORKING ON THIS PROBLEM FOR THE LAST HOUR AND I HAVE STATS ONLINE SO I CATN GO TO A TEACHER AND GET IMMEDIATE RESPOND...THNAK YOU
Find the area under the standard normal curve for the following:SHOW ALL WORK
(A) P(z < -0.25)
(B) P(0 < z < 0.55 )
(C) P(-1.91 < z < 1.06)

Click here to see answer by stanbon(57377)

Question 489491: A certain drawing states that the odds of winning are 280:88. What would be the odds against winning?
1. 280:88
2. 280:368
3. 88:280
4. 88:368
Someone told me that I should add 280 + 88 to get 368, so therefore my answer should be number 4. However, I chose number 3. Am I right? If so, how is he wrong, and why am I right?
Click here to see answer by chessace(471)

Question 489779: Evaluate:
C
9 6
answers
84
6
720
432

Click here to see answer by stanbon(57377)

Question 489677: A statistics lecturer has found that the grades on the final exam are normally distributed with a mean of 64 and a standard deviation of 11.
question: if the passing grade is 50, what proportion of the class will fail?
Click here to see answer by stanbon(57377)

Question 489654: there are 3 desks and 8 people. what is the probability of geetimg a chnce to sit on the chaires
Click here to see answer by stanbon(57377)

Question 489636: 25. Find the probability that a randomly selected piece of data from a normal population will have a z-score less than 2.25.

Click here to see answer by stanbon(57377)

Question 489608: The mean of 10 scores is 14. Another 2 scores are included and the new mean is 16. What is the mean of the two new scores?
Click here to see answer by stanbon(57377)

Question 489597: Can someone explain to me why my questions are not being answered. I have submitted several over the past weeks and have not received an answer. If I am submitting them wrong would someone please tell me what I am doing wrong.
1.A confidence interval is an interval estimate of which: a population parameter or a sample statistic? Please explain.

2. Consider a sample mean xbar of 46 calculated from a sample of size 35 drawn from a population of over 1000.
Would it be appropriate to use the standard score table to look up the probability of a z score calculated on these data?

Click here to see answer by stanbon(57377)

Question 489594: Given a binomial distribution with n = 23 and p = 0.78, would the normal distribution provide a reasonable approximation? Why or why not?
Click here to see answer by stanbon(57377)

Question 489501: 1) A) given that set A={0,1,2,3,4,5,6}, find the number of subsets that A has.
B) Given the universal set S = { -4,-3,-2,-1,0,1,2,3,4} and B= {-1,0,1,2,3}, find B'
2) A) how many 5-letter arrangements can be formed from the letters in the word table?
B) if you choose one of these words, what is the probability that the last letter is e?
3) there are 7 green balls and 3 red balls in an urn. Three balls are drwan individually and replaced. Set up a probability distribution for x, the number of red balls selected
4) A box contains 3 red balls and 4 white balls. You draw 4 balls from the box without replacing them. Set up a probability distribution for x, the number of red balls selected
5) You are dealt a 13- card bridge hand from a deck of 52 cards.
a) what is the probability of being dealt 8 card from the same suit?
b) what is the probability of being dealt 6 hearts?
C) If you are dealt 7 hearts, what is the probability that your partner has atleast 1 heart?

Click here to see answer by stanbon(57377)

Question 489924: if you roll a fair six-sided number cube,what is the probability that you will roll a number less than a 3
Click here to see answer by stanbon(57377)

Question 489931: How do I find the demand equation for p=$20 sells x=42 and p=$10 sells x=52, in the form of p=mx+b using two points in the form (x,p)?
Click here to see answer by stanbon(57377)

Question 489923: evaluate: 9C6 the 9 and 6 are small and to the bottom of the C.

Click here to see answer by stanbon(57377)

Question 489923: evaluate: 9C6 the 9 and 6 are small and to the bottom of the C.

Click here to see answer by edjones(7569)

Question 490060: suppose you roll two dice find the probability of not rolling 10
Click here to see answer by stanbon(57377)

Question 490245: I was asked to create a research question from which you will formulate a research hypothesis that will test two or more populations. This is what I came up with:
H0: the mean # of houses with 5 br & 2 baths=the mean # of houses with 5 br and more than 2 baths ( My data:2 baths Mean=231.26667 Median=236.4 Mode=209.7,236.4,247.7)
H1: the mean # of houses with 5 br & 2 baths ≠ the mean # of houses with 5 br and more than 2 baths (My data: More than 2 baths Mean= 233.3 Median= (207.5+269.2)/2 = 238.35 Mode= 186.7,188.3,207.5,269.2,269.9,278.2)
Am I correct? Another question. I also have to perform the 5 step hypothesis test on this data. How do I do that?
Click here to see answer by stanbon(57377)

Question 490283: if a dice is rolled one time, find the probability of getting a number greater than 0.
1. 1/6
2. 0
3. 1
4. 5/6
I think it is 1/6, I am confused by the 0, because a dice has no 0.
Please assist. Thanks.
Click here to see answer by John10(245)

Question 490296: can you please help me?
show all work, a disk jockey has 9 songs to play. 5 are slow, and 4 are fast. each song is to be played only once. in how many ways can the disc jockey play the 9 songs if:
-the songs can be played in any order
- the first two songs must be fast
Click here to see answer by stanbon(57377)

Question 490294: The number of ways that a selection of 7 students can be chosen from a
class of 28 is the same as the number of ways that n students can be chosen
from the same class. What is the value of n?
Click here to see answer by stanbon(57377)

Question 490278: When a single card is drawn from a shuffled deck of cards, find the odds
against getting a 9.
1. 1:12
2. 12:1
3. 51:1
4. 1:51
I think it is 12:1
Please help!
Click here to see answer by stanbon(57377)

Question 490315: for a trip a woman packed 8 tops, 4 skirts, and 5 pair of shoes. how many different outfits can she wear?
thank you ahead of time for your help.

Click here to see answer by Alan3354(30993)

Question 490313: can someone help me?
a mini license plate for a toy car must consist of two letters followed by a one digit odd number. Each letter must be a P,Q,or a R. repetition of letters is not permitted.
a)use the counting principle to determine the number of points in the sample space.
b)construct a tree diagram to determine the number of points in the sample space.( i am having horrible trouble trying to do a tree diagram.)
c)list the sample space.
d)determine the exact probability of creating a mini license plate with a Q. give solution exactly in reduced fraction form.
any help with this is much appreciated.

Click here to see answer by stanbon(57377)

Question 490312: Please help..I have taking stats online and trying to teach myself...I am very confused on this problem....Thank you
A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.
Answer each of the following (show all work
and state the final answer to at least two decimal places.):

(A) Find the 90% confidence interval of the mean score for all 147 golfers.
(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.
(C) Which confidence interval is larger and why?
Click here to see answer by stanbon(57377)

Question 490332: Please help...am so confused...taking stats online and have no teacher...thanks a bunch
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches. Show all work.
(A) What percentage of the grapefruits in this orchard is larger than 5.36 inches?
(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.36 inches?

Click here to see answer by stanbon(57377)

Question 490308: Please help I have been struggling with this problem for the last hour I am so confused on what to do..thank yuo very much
Determine the value of the confidence coefficient z (α/2) for the situation below: 1 − α = 0.90 Show All Work

Click here to see answer by stanbon(57377)

Question 490291: I AM VERY STUCK ON THIS PROBLEM....PLEASE HELP IT WOULD BE GREATLY APPRECIATED..THANK YOU VERY MUCH
Sample size is controlled by three factors: level of confidence, maximum error of estimate, and standard deviation. T-F, and why or why not?

Click here to see answer by stanbon(57377)

Question 490349: A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
a) Determine the number of points in the sample space.
b) Construct a tree diagram and list the sample space. Determine the probability that they select
c) the Persian cat.
d) the Persian cat and the calico cat.
e) cats other than the Persian cat.
Can I have some help with this, please? Also, how should the tree diagram look?

Click here to see answer by stanbon(57377)

Question 490044: The winning number in a drawing is less than 60. It is a multiple of 2,5, and 8. What is the number?
A 10
B 16
C 40
D 48
**I've tried adding and multiplying 2,5 and 8. I still don't get it.
Click here to see answer by stanbon(57377)

Question 490132: How many ways are there for 15 boys and 15 girls to pair up into 15 different heterosexual couples?
Click here to see answer by stanbon(57377)

Question 490378: how do i determine the critical vallue x2o and the rejection region
Click here to see answer by stanbon(57377)

Question 490381: If you take an exam and your score is the same as the mean score for the class, what is your z-score
for the exam? I think I know the formula but can't seem to arrive to the conclusion. I feel like I am missing a piece here. HELP!

Click here to see answer by richard1234(5390)

Question 490415: Evaluate 6C4
1. 2
2. 30
3. 24
4. 15
I need some help with this. Thank you!
Click here to see answer by richard1234(5390)

Question 490418: Each of the numbers 0 through 12 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Note: 0 is considered an even number.
1. 7/13
2. 1/2
3. 7/12
4. 6/13
Hi. Could someone help me?
Click here to see answer by Alan3354(30993)

Question 490454: Given a level of confidence of 99% and a population standard deviation of 7, answer the following:
(A) What other information is necessary to find the sample size (n)?
(B) Find the Maximum Error of Estimate (E) if n = 74. Show all work.

Click here to see answer by stanbon(57377)

Question 490486: Explain how the Pythagorean Theorem is a special case of the Law of Cosines.
Click here to see answer by richard1234(5390)

Question 490487: A test consists of 90 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean and the standard deviation of the number of correct answers.
Click here to see answer by stanbon(57377)

Question 490443: Please help...i am taking an online stats class and am so confused on this problem..I have been working on it for so long Im getting a headache...thank you very much
Assume that the population of heights of female college students is approximately normally distributed with mean µ of 64.64 inches and standard deviation ð of 6.02 inches. A random sample of 98 heights is obtained. Show all work.
(A) Find the mean and standard error of the x distribution
(B) Find p(x>63.75)

Click here to see answer by stanbon(57377)

Question 490550: Six papers are set in an examination of which two are mathematics. In how many ways can the examination papers be arranged if the mathematics papers are not to be together?
Click here to see answer by Edwin McCravy(8909)

Question 490696: Evaluate 6C4
1. 2
2. 30
3. 24
4. 15
Which would it be?

Click here to see answer by MathLover1(6634)

Question 490694: Each of the numbers 0 through 12 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. Note: 0 is considered an even number.
1. 7/13
2. 1/2
3. 7/12
4. 6/13
Can someone assist me with this?
Click here to see answer by MathLover1(6634)

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