Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 51699: A small town has 5,600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by sex.
Men Women Total
In Favor 1,400 280 1,680
Opposed 840 3,080 3,920
Total 2,240 3,360 5,600
Let: M be the event a resident is a man
W be the event a resident is a woman
F be the event a resident is in favor
P be the event a resident is opposed
a. Find the joint probability table.
b. Find the marginal probabilities.
c. What is the probability that a randomly selected resident is a man and is in favor of building the bridge?
d. What is the probability that a randomly selected resident is a man?
e. What is the probability that a randomly selected resident is in favor of building the bridge?
f. What is the probability that a randomly selected resident is a man or in favor of building the bridge?
g. A randomly selected resident turns out to be male. Compute the probability that he is in favor of building the bridge.
Click here to see answer by stanbon(75887)  |
Question 47178: 1)Find the probability of selecting both red cards when two cards are drawn (without replacement) from a standard deck of cards
2)Find the probability of drawing a heart or a club from a standard deck of cards.
3)Find the probability of getting a three first and then a four when the die is rolled twice.
Click here to see answer by stanbon(75887) |
Question 64374: A researcher wants to determine whether or not the percentage in population A is less than the percentage in population B. A sample of 161 items from population A had a sample percentage of 20% while a sample of 189 items from population B had a sample percentage of 25%. If a significance level of .05 is used, which of the following statements is correct?
1. left-tailed test with Z = -1.96
2. left-tailed test with Z = -1.65
3. left-tailed test with Z = +1.65
4. right-tailed test with Z = +1.65
5. left-tailed test with Z = -2.33
I figured t-score=1.113, degrees of freedom=348, its a two-tailed test=.2665, from here I am lost. can someone help me please....
Click here to see answer by stanbon(75887) |
Question 64373: 2 psychologists, Alfred and Bertha, have theories about schizophrenia in the American population. Alfred claims that 20% of Americans suffer from schizophrenia. Bertha disagrees, but is unsure whether the percentage is higher or lower. Bertha sampled 400 people randomly, and found 103 actually had schizophrenia. If she set a significance level of .05, which of the following is appropriate?
1.Ho: p=.20
2.Ho: p is not= .20
3.Ha: p= .20
4.Ho: p>.20
5.none of these
What I know: n=400, p=.2,
from there I am stumped, please help me... thank you very much.....
Click here to see answer by stanbon(75887) |
Question 46432: Hi there,
This question is an ANOVA so it's very long. Could someone please help me with it. I would be so grateful to you.
Assume that the wages are normally distributed
This should be in a chart. The top and bottom numbers correspond with each other. For example, 48.6 and 57.6 are in a square together. 48.6 is above 57.6.
Montreal
48.6 61.9 19.8 35.2 25.5 58.4 47.4 48.6 17.6
57.6 81.1 26.1 76.8
Toronto
32.9 46.4 19.7 24.0 19.7 18.4 25.2 10.3 26.9
20.5 52.6 40.7 24.4 36.5 33.9 28.0 35.3 25.5
Vancouver
22.7 36.0 20.7 26.8 24.0 49.2 29.5 28.8 38.8
35.8 23.1 27.6 30.8 33.5 23.3 38.7
a. At ά=0.05, is there enough evidence to conclude that the variance in annual wages differ for Montreal to Toronto?
Provide hypothesis, variance, p and critical values and conclusion
b. Are the mean annual wages equal fro all three cities at ά=0.10
Provide hypothesis, variance, p and critical values and conclusion.
Thanks for your help,
Please Please Please help me.
Thanks a lot,
Shelly
Click here to see answer by stanbon(75887) |
Question 64393: Mr. Meyers used 2 different teaching methods in similiar statistics classes of 35 students each. Then each class took the same practice exam. in one class there was a mena grade of m=82 and s=4; in the other the m=77 and s=7. Mr Meyers wants to be 95% certain of any conclusions drawn from the data.
a. assume Ho: the mean grade is the same for both teaching methods. What should the alternative hypothesis be?
b. Is the distribution of differences approximately normal? Why or Why not?
c. Should Mr. Meyers reject or fail the null hypothesis? Draw a diagram that supports your answer.
for a. I put Ho:m=m
b. I said yes the distribution of differences is normal.
I drew a diagram but I believe I have it labeled incorrectly.
Click here to see answer by stanbon(75887) |
Question 64395: A student has a coin that she claims is biased towards heads. She believes that it will result in heads 60% of the time. She finally decides to test the coin and see if her claim is true, before she takes it to Las Vegas to make her fortune. She flips the coin 30 times, keeping track of S, the number of times it comes up heads. Assuming Ho: p=0, Ha: p>.6, calculate the following, show your work.
a. Theoretical mean for the distribution of S.
b. Theoretical standard deviation of distribution of S
c. The number of heads (S) necessary to reject Ho at the .05 significance level.
m=0,standard deviation= 7.2, S=
this is as far as I got am I on the right track?
Click here to see answer by stanbon(75887) |
Question 64403: A total of 15 children who had flouride treatment were compared with 15 who did not. Of those who used flouride, the mean number of cavities m was .8 with s=.07. For those who did not use flouride, m was 1.4 with s=.09. Test the hypothesis that there is no difference between these two groups of children at the .05 significance level, and show all work supporting your conclusion and the method you use.
Click here to see answer by stanbon(75887) |
Question 64429: A random sample of 1000 students showed 535 perfer coffee over tea. If the percentage of students who prefer coffee is p, test Ho: p =.50 versus Ha: p>.50 at the .05 significance level. My conclusion should be:
1. reject Ho and conclude the evidence supports Ha
2. fail to reject Ho
3. gather more data because I am unable to complete the analysis as stated
4. inclusive of Student's (t) test because of the sample size
5. none of these answers
Click here to see answer by stanbon(75887) |
Question 64428: Assume Ho: p=.92 and Ha: p is not equal to .92. If the significance level is .05, and a random sample of 4000 observations includes 3600 sucessess, what decision should be made?
1. Accept Ho
2. Reject Ho
3. Reject Ha
4. Resample; the sample size is too large
5. None of these
Click here to see answer by stanbon(75887) |
Question 64456: Evaluate:
8
(4x2 + 9x - 11) dx
3
(2 decimal places)
______________________________________________________________________________
Find the specific antiderivative, f(x), of the function below with the given initial condition. f'(x) = 3x2 - 6x + 5, f(0) = 3.
_______________________________________________________________________________
Evaluate:
8
(5x2 - 14x - 4) dx
3
(2 decimal places)
_______________________________________________________________________________
The marginal cost function for producing x units of a certain product is given by:
C'(x) = 8 + 0.05x
Find the total cost incurred by increasing the production level from 100 to 700 units. (2 decimal places)
_______________________________________________________________________________
Evaluate:
8
(4x2 - 10x + 43) dx
-4
(2 decimal places)
_______________________________________________________________________________
Find the average value of the function
f(x) = 4x3 - 6x over the interval [0,9].
Click here to see answer by stanbon(75887) |
Question 64573: The question "Do more than 40% of cat owners own dogs?" leads to a two tailed test. T or F
Under a one tailed test with the level of significance set at .05 the probability of erroneously rejecting a true hypothesis is .05. T or F
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Question 64638: An investor holds shares i three independents companies, companies A, B and C. An analyst predicts the probability of profit increases for each company as follows:
Company A: 0.70
Company B: 0.50
Company C: 0.65
1. If the analyst's predictions are correct, what is the probability that all 3 companies show a profit increase? (express your answer to the nearest hundredth of one percent)
2. If the analyst's predictions are true, what is the probability that at least one company shows a profit increase?(express your answer to the nearest hundredth of one percent)
Click here to see answer by stanbon(75887) |
Question 64707: Life expectancy in 2000 National center for Health Stats. indicated a new record for avg. life expectancy 76.9 years for he total US population. Avg for men is 74.1 and women 79.5, which average is being used, and explain.
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Question 64710: A teacher is constructing a test of 10 questions she has a pool of 28 questions which are classified by level of difficulty 6 difficult, 10 average, 12 easy, how many different 10 question test can be made from the 28 questions if her test is to have 3 difficult, 4 average, and 3 easy questions.
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Question 64709: The amount of money seven students planned to spend on gifts during the holiday season is $60.00, $100.00, $85.00, $35.00, $250.00, $150.00, $300.00 Find the range and standard deviation of the amounts.
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Question 64706: A dead mans hand is aka a pair 8's and a pair of aces, what is the probality of being dealt the dead man's hand(any two aces any two 8's and one other card that is not an ace or an eight) when five cards are dealt.
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Question 23891: Cody has had problems starting his two cars during the winter months. He decided to record the number of times each car starts during one month period this winter. He attempted to start each car every morning for 30 days. He recorded the following information:
-His first car started 20 times
-His second car started 18 times
-Both cars started 40% of the time
What is the probability that on any particular morning during the month:
a) at least one of the cars start?
b) he cannot start either of his two cars?
Click here to see answer by stanbon(75887) |
Question 23888: Kathleen, Angela, and Lisa are the only entrants in a competition for which there is a prize for first place and a prize for second place. Consider the experiment of selecting the first and second place winners.
Of the following events:
P-Kathleen wins first prize
Q-Kathleen wins second prize
R-Kathleen wins a prize
S-Angela and Lisa win the prizes
a) Which of these events are mutually exclusive?
b) List all pairs of these events that are mutually exclusive
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Question 64811: This is my last question I promise, I think I finally may have this.
A pet shop is selling a calico cat, a Siamese, persian, 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
c. find the probaility that they will select the Persian cat, the Persian cat and the Calico,cats other than the Persian Cat
Click here to see answer by stanbon(75887) |
Question 23885: There are 500 male students and 750 female students, which makes a total of 1250 students. Out of those 1250 students, they are divided into 4 groups of blood types (O, A, B, and AB). There are 525 O-type students, 435 A-type students, 185 B-type students, and 105 AB-type students.
Out of the 525 O-types, 210 are male and 315 are female.
Out of the 435 A-types, 174 are male and 261 are female.
Out of the 185 B-types, 74 are male and 111 are female.
Out of the 105 AB-types, 42 are male and 63 are female.
Determine the probabiliy that:
a) the student is male, given that the student had blood type A.
b) the student is female, given that the student has bloodd type AB.
Click here to see answer by stanbon(75887) |
Question 21693: Consider the chance of rolling two dice.
a) What is the probability that you get either two ones?
b) What is the probability that a perfect square would be shown on two dice?
c)What is the probability that a prime number is equal to the total number of points on the two dice.
d)What is the probability that a ten would not appear on the two dice?
Click here to see answer by stanbon(75887) |
Question 21655: Please Please PLease help me with this!
The operations manager at a light bulb factory wants to determine whether there is any difference in the mean life expectancy of bulbs manufactured on two different types of machines. The population standard deviation of machine I is 110 hours and of machine II is 125 hours. A random sample of 24 light bulbs from machine I indicates a sample mean of 375 hours and a similar sample of 25 bulbs from machine II indicates a sample mean of 362 hours.
a) Using a 0.05 level of significance, is there any evidence of a difference in the mean life of bulbs produced by the two types of machines?
Click here to see answer by stanbon(75887) |
Question 21549: Please, please help!
After you complete this exam, you and two friends decide to go to McDonald’s to celebrate. Last month McDonald’s filled 90% of the orders accurately. What is the probability that:
a) All three orders will be filled accurately?
b) None of the three orders will be filled accurately?
c) At least 2 of the 3 orders will be filled accurately?
Click here to see answer by stanbon(75887) |
Question 65018: Could you help me please with this problem below:
The number of eggs of a female house fly lays during her lifetime is normally distributed, with a mean of 800 eggs and a standard deviation of 100 eggs. Random sample of size 15 are drawn from this population and the mean of each sample is determined.
Click here to see answer by stanbon(75887) |
Question 65113: Hi I'm not a card player and I am having trouble. Please help. A single card is chosen at random from a standard 52-card deck. Find the odds against its being a 1.heart, 2.a red queen, 3. a king or a black face card.
Click here to see answer by stanbon(75887) |
Question 65226: Hi all see this 2 Questions plz
1- A die was rolled 720 times , what is the probability that the number 4 will be exactly 125 times ?
2- What is the probability of getting at most three heads in 8 flips of balanced coin ?
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Question 65254: Suppose a pond has only three types of fish: catfish, trout and bass, in the ration 5:3:3. There are 50 fish in total. Assuming you are allowed to only catch three fish before throwing them back, find the probability of catching three trout, or catching the three types of fish in alphabetical order.\
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Question 65372: HI, i need help with this problem:
A new shipment of 9 VCRs, which will be offered at a very low price, are delivered to a store. Unknow to the manager, 4 of the VCRs are defective.
Determine the probability that at least one of the first 3 VCRs sold is defective. Express your answer to the nearest tenth of one percent.
Click here to see answer by stanbon(75887) |
Question 65418: When driving and automobile to work you would think that half the turns would be right hand turns. When conducting a hypothesis test, out of 25 total turns on my route to work I found that 13 were right hand turns. using probability=.10 determine if the true proportion of right hand turns is actually equal to (.50) Are there legitimate factors which would make a driver have a larger or smaller proportion of right-hand turns?
Click here to see answer by stanbon(75887) |
Question 65432: HI, i need help with this problem:
A new shipment of 9 VCRs, which will be offered at a very low price, are delivered to a store. Unknow to the manager, 4 of the VCRs are defective.
Determine the probability that at least one of the first 3 VCRs sold is defective. Express your answer to the nearest tenth of one percent.:
Click here to see answer by Edwin McCravy(20054)  |
Question 65252: Two friends who have unpredictable lunch hours agree to meet for lunch at their favourite restaurant whenever possible. Neither wishes o eat alone and each dislikes waiting for the other, so they agree that each will arrive at a random time between noon and 1pm, and each will wait for the other for 15 minutes or until 1:00. What is the probably that the friends will meet for lunch on a given day?
Click here to see answer by venugopalramana(3286) |
Question 65917: When I conducted a test I found that a paragraph containing 566 words, 51 of them were the letter e. Test claim that 12.7% of all letters in the english text are e. Test the claim that the letter e appears 12.7% of the time. Use probability = 0.01.
Click here to see answer by stanbon(75887) |
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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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