Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1183486: The average Intelligent Quotient (IQ) of the adult population is 100. A researcher believes the average IQ of adults is lower. A random sample of 5 adults are tested and scored.69,79,89,99,109 and standard deviation 15.81. Is there enough evidence to suggest the average IQ is lower?
Click here to see answer by robertb(5830)   |
Question 1183497: A study examines self-esteem and depression in children. A sample of 25 children with low self-esteem is given a standardized test for depression. The average score for the group is M = 93.3. For the general population, scores on the depression test form a normal distribution with a mean of µ = 90 and a standard deviation of σ =15. Do children with low self-esteem show significantly more depression?
Click here to see answer by robertb(5830) |
Question 1183472: A lecturer wants to know if his statistics class has a good grasp of basic maths from matric level. Eleven students are chosen at random from the class and given a maths proficiency test. The lecturer wants the class to be able to score above 75 on the test to show that they had a good grasp of basic maths. The eleven students get scores shown below: 62, 88, 71, 50, 67, 70, 92, 75, 68, 83, 95
Can the lecturer be 95 percent confident that the students had a good grasp of basic maths?
Click here to see answer by robertb(5830) |
Question 1183519: Suppose that a quiz consists of 16 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the student will get exactly 8 answers correct? (consider up to 4 decimal places)
Mark only one oval.
0.1208
0.1964
0.0229
0.8412
Click here to see answer by ikleyn(52750)  |
Question 1183518: If calls to your cell phone are a Poisson process with a constant rate =2 calls per hour, what’s the probability that, if you forget to turn your phone off in a 1.5 hour movie, your phone rings during that time?
Click here to see answer by ikleyn(52750) |
Question 1183504: A farming cooperative in the KwaMashu buys wheat seeds for its farmer members from seed merchants. A particular seed merchant claims that their wheat seeds have at least an 80% germination rate. Before the farming cooperative will buy from this seed merchant, they want to verify this claim. A random sample of 320 wheat seeds supplied by this seed merchant was tested, and it was found that only 230 seeds germinated. Is there sufficient statistical evidence at the 3% significance level to justify the purchase of wheat seeds from this seed merchant? Use the p-value approach to conduct a hypothesis test for a single proportion, and report the findings to the KwaMashu farming cooperative
Click here to see answer by Boreal(15235)  |
Question 1183504: A farming cooperative in the KwaMashu buys wheat seeds for its farmer members from seed merchants. A particular seed merchant claims that their wheat seeds have at least an 80% germination rate. Before the farming cooperative will buy from this seed merchant, they want to verify this claim. A random sample of 320 wheat seeds supplied by this seed merchant was tested, and it was found that only 230 seeds germinated. Is there sufficient statistical evidence at the 3% significance level to justify the purchase of wheat seeds from this seed merchant? Use the p-value approach to conduct a hypothesis test for a single proportion, and report the findings to the KwaMashu farming cooperative
Click here to see answer by Theo(13342)  |
Question 1183502: The width of a confidence interval is a measure of its precision. The narrower the confidence interval, the more precise is the interval estimate,and vise versa. Describe any three aspects that influence the precision of the width of a confidence interval of a single population mean.
Click here to see answer by Boreal(15235) |
Question 1183459: The average divided yield of a random sample of 25 JSE-listed companies this year was found to be 14.5% with a sample standard deviation of 3.4%. Assume that dividend yields are normally distributed.
(a) Calculate, with 90% confidence, the actual mean dividend yield of all JSE- listed companies this year. Interpret the finding
(b) Calculate, with 95% confidence, the actual mean dividend yield of all JSE- listed companies this year. Compare the interval with the one calculated in 3.1.1
Click here to see answer by Boreal(15235) |
Question 1183463: The average length of time for people to vote using the old procedure during the presidential election period in selection precinct A is 55 minutes. Using computerization as a new election method, a random sample of 20 registrants was used and found to have a mean length of voting time of 30 minutes with a standard deviation of 1.5 minutes. Test the hypothesis in which the population mean is greater than the sample mean.
Click here to see answer by Boreal(15235) |
Question 1183529: A school want to hire six teachers. Twelve applicants have applied in which
seven are men and five are women. Find below
a. The probability of four males and two females. 02
b. The probability of at least three males. 02
c. The probability of at most three females.
Click here to see answer by ikleyn(52750) |
Question 1183532: A school want to hire six teachers. Twelve applicants have applied in which
seven are men and five are women. Find below
a. The probability of four males and two females.
b. The probability of at least three males.
c. The probability of at most three females.
Click here to see answer by ikleyn(52750) |
Question 1183501: A farming cooperative in the KwaMashu buys wheat seeds for its farmer members from seed merchants. A particular seed merchant claims that their wheat seeds have at least an 80% germination rate. Before the farming cooperative will buy from this seed merchant, they want to verify this claim. A random sample of 320 wheat seeds supplied by this seed merchant was tested, and it was found that only 230 seeds germinated. Is there sufficient statistical evidence at the 3% significance level to justify the purchase of wheat seeds from this seed merchant? Use the p-value approach to conduct a hypothesis test for a single proportion, and report the findings to the KwaMashu farming cooperative. (10) marks
Click here to see answer by ikleyn(52750) |
Question 1181471: A distribution of values is normal with a mean of 49.7 and a standard deviation of 25.
Find P70, which is the score separating the bottom 70% from the top 30%.
P70 = _________
Enter your answer as a number accurate to 4 decimal places.
Click here to see answer by robertb(5830) |
Question 1180798: A social worker wants to test (𝛼=0.05) whether the average body mass index
(BMI) of the students under feeding program is different from 8.2 kg.
a) State the H0 and H1in words.
b) State the H0 and H1 in symbols.
c) What is the probability of committing Type I error?
d) State the conclusion when H0 is rejected.
e) Determine the direction and the tail (if applicable) to be used.
Click here to see answer by robertb(5830) |
Question 1182589: The probability that a life bulb will have a life time of more than 680 hours is 0.9788. The probability that a bulb will have a life time of more than 700 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours.
Click here to see answer by robertb(5830) |
Question 1183544: Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability that it will be red.
Click here to see answer by ikleyn(52750) |
Question 1183550: Find the probability of selecting 5 science books and 3 math books from 7 science books and 14 math books. The books are selected at random.
find p(5 science and 3 math)
sorry for posting the question multiple times
Click here to see answer by ikleyn(52750) |
Question 1183555: The average Kenyan family of four spends KES 500000 per year on food prepared at home. Assuming a normal distribution with a standard deviation of KES 100000 and a randomly selected Kenyan family of four, what is the probability that the family’s annual spending for food prepared at home will be:
more than KES 800000?
between KES 500000 and KES 700000?
less than KES 600000?
between KES 300000 and KES 600000?
Click here to see answer by ikleyn(52750) |
Question 1183559: The probability that a bolt is defective is 0.2%. Bolts are packed in boxes of 500. Two boxes are picked at random from the production line. Find the probability that one has two defective bolts and the other has one defective bolts.
Click here to see answer by ikleyn(52750) |
Question 1183567: I can write the formula for this problem but seem to be solving it wrong, please help.
A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?
Click here to see answer by MathLover1(20849)  |
Question 1183567: I can write the formula for this problem but seem to be solving it wrong, please help.
A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?
Click here to see answer by ikleyn(52750) |
Question 1183568: Winning the jackpot in a particular lottery requires that you select the correct numbers between 1 and and, in a separate drawing, you must also select the correct single number between 1 and . Find the probability of winning the jackpot.
The probability of winning the jackpot is
nothing.
(Type an integer or simplified fraction.)
Click here to see answer by ikleyn(52750) |
Question 1183558: is this a binominal distribution?
x | 0 | 1 | 2 | 3 |
____________________________________
p(x)| 0.027 | 0.189 | 0.441 | 0.343
choices:
1- the distribution does not represent a binomial distribution
2- the distribution represents a binomial distribution
find:-
the value of n is ___ and the value of p is ___
Click here to see answer by robertb(5830) |
Question 1183551: Please help me on this question.
Two urns contain white and black balls. Urn 1 contains 3 white balls and 4 black balls. Urn 2 contains 5 white and 3 black balls. Blindfolded, you draw a ball randomly from one of the two urns. The ball drawn is then put inside a third urn which contains 2 white and 3 black balls.
a) What is the probability of drawing a black ball from the third urn?
b) What is the probability that a black ball drawn from the third urn came from Urn 2?
Click here to see answer by robertb(5830) |
Question 1183552: Please help me on this question. Thanks!
Two urns contain white and black balls. Urn 1 contains 3 white balls and 4 black balls. Urn 2 contains 5 white and 3 black balls. It is three times as likely to draw a ball from Urn 1 as it is from Urn 2. Blindfolded, you draw a ball randomly from one of the two urns. The ball drawn is then put inside a third urn which contains 2 white and 3 black balls.
a) What is the probability of drawing a black ball from the third urn?
b) What is the probability that a black ball drawn from the third urn came from Urn 2?
Click here to see answer by robertb(5830) |
Question 1183557: Belief in UFOs A survey found that 10% of people believe that they have seen a UFO. Choose a sample of 15 people at random. Find the probability of the following. Round intermediate calculations and final answers to at least three decimal places.
find p(2 or 3 people believe that they have seen a ufo)
Click here to see answer by robertb(5830) |
Question 1183569: winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and, in a separate drawing, you must also select the correct single number between 1 and 22 . Find the probability of winning the jackpot
Click here to see answer by ikleyn(52750) |
Question 1183576: When Tanawat goes on holiday, he asks his friend Niran to water his
plant for him while he is away.
If Niran does not water the plant correctly, the probability that the
plant will die is 0.8.
If Niran does water the plant correctly, there is still a probability
of 0.2 that it will die.
The probability that Niran will water the plant correctly is 0.7.
a) Use a tree diagram to work out the probability that the
plant will be alive when Tanawat returns.
b) What is the probability that Niran did not water the plant
properly, given that Tanawat returns to find that his
plant is dead?
Click here to see answer by ikleyn(52750) |
Question 1182321: You are shown a coin in which the officer says is fair in the sense that it will produce the number of heads and tails when flipped a very large number of times. In the light of the above statement answer the following questions:
a. Briefly describe an experiment to determine this claim
b. What will the population be in your experiment?
c. Determine the Sample?
Click here to see answer by robertb(5830) |
Question 1183574: From actual road tests with the tires, Hankook Tires estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. Data is normally distributed.
(i) What percentage of the tires can be expected to last more than 40,000 miles?
(ii) Assume that Hankook Tires is considering a guarantee that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. What should the guarantee mileage be if the company wants no more than 10% of the tires to be eligible for the discount guarantee?
Click here to see answer by Boreal(15235) |
Question 1183574: From actual road tests with the tires, Hankook Tires estimated that the mean tire mileage is 36,500 miles and that the standard deviation is 5000 miles. Data is normally distributed.
(i) What percentage of the tires can be expected to last more than 40,000 miles?
(ii) Assume that Hankook Tires is considering a guarantee that will provide a discount on replacement tires if the original tires do not provide the guaranteed mileage. What should the guarantee mileage be if the company wants no more than 10% of the tires to be eligible for the discount guarantee?
Click here to see answer by ikleyn(52750) |
Question 1183586: A random sample of 16 pharmacy customers showed the waiting times below (in minutes).
Good afternoon,
Can you please help me with this problem? I don't know what I'm doing wrong, but all answers are wrong:(
Thank you
21 22 22 17 21 17 23 20
20 24 9 22 16 21 22 21
Find a 90 percent confidence interval for μ, assuming that the sample is from a normal population.
(Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places. Round your answers to 3 decimal places.)
Click here to see answer by Theo(13342) |
Question 1178010: The Ohio lottery has a game called Pick 4 where a player pays $2 and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2000. What is your expected value? Round to the nearest cent, if necessary.
The expected value is
Click here to see answer by robertb(5830) |
Question 1177825: In determining the range of an acoustic source using the triangulation method, the time at which the spherical wave front arrives at a receiving sensor must be measured accurately. Measurement errors in these times can be modeled as possessing uniform probability distribution from −0.05 to 0.05 microseconds. What is the probability that a particular arrival time measurement will be in error by less than 0.01 microsecond? What does your answer
mean?
Thank you
Click here to see answer by robertb(5830) |
Question 1183609: I am using the expected value formula for this and am not solving it properly, can someone please help me with setting it this problem up correctly? Thanks in advance.
A 40-year-old man in the U.S. has a 0.241% risk of dying during the next year . An insurance company charges $260 per year for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance? Round your answer to the nearest dollar.
Click here to see answer by ikleyn(52750) |
Question 1181930: A basketball player makes 70% of her throws when she is in a two-shot free throw situation (she gets two shots no
matter what). Her coach notices that she gets nervous in a one-and-one free throw situation (here she only gets to take
a second shot if she makes the first) and makes 50% of those free throws.
A) Construct an area model for each of the player’s free throw situations, mapping the chance of getting 0, 1, or 2
points).
B) What is the player’s average points per attempt for each of the two scenarios? Two shot vs. One-and-one.
C) Suppose the player was fouled 50 times this season. Of these, 20 were two-shot free throw situations and 30 were
one-and-one free throw situations. How many points would you expect her to have scored for free throws this season?
Click here to see answer by robertb(5830) |
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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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