Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 769319: Can you please help me solve this statistic problem?
6) It's well established, we'll assume, that lab rats require an average of 32 trials in a complex water maze before reaching a learning criterion of three consecutive errorless trials. To determine whether a mildly adverse stimulus has any effect on performance, a sample of seven lab rats were given a mild electrical shock just before each trial.
(a) Given that X-Bar (the Mean of X) = 35.91 and s = 2.88, test the null hypothesis with t, using the .05 level of significance.
(b) Construct a 95 percent confidence interval for the true number of trials required to learn the water maze
(c) Interpret this confidence interval
Click here to see answer by stanbon(75887)  |
Question 769335: Can someone please help me with the following statistic problem. Please show all the work.
5) Find the critical t-values for the following hypothesis tests:
(a) two-tailed test, level of Significance = .01, df = 24 _____________
(b) one-tailed test, lower tail critical, level of significance = .05, df = 17 ____________
(c) one-tailed test, upper tail critical, level of significance = .01, df = 8 ______________
(d) two-tailed test, level of Significance = .05, df = 15 ____________
(e) two-tailed test, level of Significance = .001, df = 36 ____________
Click here to see answer by stanbon(75887) |
Question 769334: Can someone please help me with the following statistic question?
(Hypothesis Test Summary) (Show all work and steps)
4) According to a U.S. Census Bureau survey during 2005-2007, the daily one-way commute time of U.S. workers averages 25 minutes with , we'll assume, a standard deviation of 13 minutes. An investigator wishes to determine whether the national average describes the commuter time for all workers in the Chicago area. Commute times are obtained for a random sample of 169 workers from this area, and the mean time is found to be 22.5 minutes. Test the Null Hypothesis at the .05 level of significance
Click here to see answer by stanbon(75887) |
Question 769573: Bob,Jane,Harvey,Norman,Alice and Clarissa are running for election.A man and a woman will be elected.List the possible results.
(i)How many different results are possible?
(ii)What is the probability that Harvey and Clarissa are elected together?
(iii)What is the probability that Clarissa is elected?
(iv)What is the probability that Bob is not elected?
Click here to see answer by stanbon(75887) |
Question 769584: a. Write a biased survey question about a football team.
b. Re-word the survey question about a football team so that any bias is eliminated.
I know this isn't algebra but I need to ask this question somewhere! Thank you!
Click here to see answer by solver91311(24713)  |
Question 769572: Three cards are numbered 2,3 and 4. List all the possible 3-digit numbers that can be formed when placing the cards on a table next to each other.Find the probability of forming:
(i)the number 234
(ii)an odd number
(iii)an even number
(iv)a number greater than 300
Click here to see answer by ramkikk66(644) |
Question 769798: Larry made up a dice game. The rules state that if the roll, n is a prime number (2,3,5), then Larry will pay the player  , where as if the roll is not a prime number (1,4,6), the player pays Larry  . Determine the probability distribution and determine the expectation of winning for this game. Please show all the work to get to the answer.
Click here to see answer by oscargut(2103)  |
Question 769765: A box contains five red balls, six green balls, and two white balls. Three balls are drawn, but each one is not replaced before the next one is drawn. Find the probability the first is red, the second is green, and the third is white.
Click here to see answer by oscargut(2103) |
Question 769797: A child removes the name cards on ten wrapped christmas presents of which 6 are for the Phillps and 4 are for the Wongs. If the presents are distributed to the 2 families without reopening the packages, what is the expected number of correct presents distributed to the Phllips? Please show the work to get to the answer.
Click here to see answer by Edwin McCravy(20054)  |
Question 769856: How many arrangements of the letters of the word OLYMPIC are possible if the C and the L are to be together in any order?
Could you please describe the thinking steps one should go through in tackling such a question?
Many thanks
Guy
Click here to see answer by ramkikk66(644) |
Question 769975: The shape of the distribution of the time required to get an oil change at a 20 min. Oil facility is unknown. However, records indicate that the mean is 21.8 mins., and the standard deviation is 4.8 mins. What is the probability that a random sample of n= 40 oil changes results in a sample mean time less than 20 mins.. The probability is approximately .? ( round to four decimal places as needed). I have tried many solutions on my TI 83 and come up with nothing cloce to four decimals. Help!
Click here to see answer by Edwin McCravy(20054) |
Question 769997: 1) 40% of all US adults try to pad their auto insurance claims to cover their deductible. Out of 128 claims processed what is the probability that fewer than 45 of the claims have been padded. Round to the nearest thousandths place.
2) Consider the binomial experiment with 20 trials and probability 0.45 on a single trial. Use the normal distribution to find the probability of exactly 10 successes. Round to the thousandths place.
I need to know how to find the endpoints and then I can find the z- score for each and subtract to solve.
Click here to see answer by stanbon(75887) |
Question 770050: A gambler has developed two strategies for betting in the game of blackjack. To test these strategies, he decides to go gambling at Honest Bob's Casino. He plays five sessions of blackjack using each of the two strategies (that is, the sample size for strategy 1 is 5 and the sample size for strategy 2 is also 5).
He then records his profit from the two strategies for each of the five sessions (a negative profit indicates a loss). The goal of the gambler is to determine which of the two betting strategies will result in a higher mean profit. The 95% confidence interval for the true mean profit for strategy 1 minus the true mean profit for strategy 2 is (-110, 34). Assume random samples were taken from populations that were normally distributed. Assume equal population variances.
Choose the best interpretation below for the confidence interval in the problem.
a) We are 95% confident that the true mean profit for strategy 1 is greater than the true mean profit for strategy 2.
b) We are 95% confident that there is no statistically significant difference between the true mean profits for the two strategies.
c) We are 95% confident that the true mean profit for strategy 1 is less than the true mean profit for strategy 2.
d) Can’t answer this question based on the information given.
e) None of the above conclusions are correct.
Click here to see answer by oscargut(2103) |
Question 770048: A researcher is interested in determining whether men's and women's attitudes on the environment differ. To do so 100 men and 100 women were randomly sampled and asked: "Do you think the environment is a major concern currently?" Of those sampled, 67 women and 53 men responded that they believed it is. Suppose a 97% confidence interval for the study was (0.02, 0.26). You may assume sample 1 corresponds to women and sample 2 corresponds to men. You may also assume that all assumptions and checks have been verified.
Based on the interval given, choose the most appropriate portion below from the conclusion for the confidence interval.
a) We are 97 % confident that there is no difference between the corresponding true proportions of women who believe the environment is a major concern currently and the true proportion of men who believe the environment is a major concern currently.
b) We are 97 % confident that the true proportion of women who believe the environment is a major concern currently is greater than the true proportion of men who believe the environment is a major concern currently.
c) We are 97 % confident that the true proportion of women who believe the environment is a major concern currently is smaller than the true proportion of men who believe the environment is a major concern currently.
d) Can’t answer this question based on the information given.
e) None of the above conclusions are correct.
Click here to see answer by oscargut(2103) |
Question 770189: 1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree. One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree. What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Choose one answer.
A. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2>0
B. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2<0
C. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2 \neq 0
D. H_0:\mu_1-\mu_2>0 \\ H_a:\mu_1-\mu_2 \neq 0
E. None of the above
2) Marks: 6
In the situation of Problem 1 above, suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Using the summary data below from the two samples, compute the value of the test statistic t^*.
{\bar{x_1}=4.95 \bar{x_2}=5.22
s_1=0.64 s_2=0.89
n_1=21 n_2=21
Choose one answer.
A. -1.78
B. -1.59
C. -1.13
D. -1.00
E. -0.84
Click here to see answer by stanbon(75887) |
Question 770343: A salesman has a 60% chances of making a sale to any one customer .the behaviour of successive customer is independent variable.if two customers A and B entre,what is the probability that the salesman will make a sale to A and B.
Click here to see answer by jam007(5)  |
Question 770199: 1.How many ways 3-digit odd number can be formed by using the digit 1 to 9 when repetition is not allowed.?
2.how many numbers are there between 200 to 300 in which all of the digits are distint.?
3.find the number of ways in which 5 boys and 4 girls can be seated in a row so that no two girls are together.?
Click here to see answer by AnlytcPhil(1806)  |
Question 770199: 1.How many ways 3-digit odd number can be formed by using the digit 1 to 9 when repetition is not allowed.?
2.how many numbers are there between 200 to 300 in which all of the digits are distint.?
3.find the number of ways in which 5 boys and 4 girls can be seated in a row so that no two girls are together.?
Click here to see answer by Edwin McCravy(20054) |
Question 767835: Help I havew no idea what I am doing?? I thought I did but then I was told it did look right. Then I did it again only to be left confused! I would be very grateful for any help please!
A study wants to examine the relationship between student anxiety for an exam and the number of hours studied. The data is as follows:
Student Anxiety Scores -- Study Hours
5 -- 1
10 -- 6
5 -- 2
11 -- 8
12 -- 5
4 -- 1
3 -- 4
2 -- 6
6 -- 5
1 -- 2
1.Why is a correlation the most appropriate statistic?
2.What is the null and alternate hypothesis?
3.What is the correlation between student anxiety scores and number of study hours? Select alpha and interpret your findings. Make sure to note whether it is significant or not and what the effect size is.
4.How would you interpret this?
5.What is the probability of a type I error? What does this mean?
6.How would you use this same information but set it up in a way that allows you to conduct a t-test? An ANOVA?
Click here to see answer by mskitish(1) |
Question 770454: Let p be the population proportion for the following condition. Find the point estimates for p and q.
A study of 4687 adults from country A found that 2754 were obese or overweight.
The point estimate for p,^p,is........
Round to 3 decimal places as needed
Can someone please help me to solve a few of these. I keep getting stuck on the same parts.Thank you very much!
Click here to see answer by jam007(5) |
Question 770463: Out of a sample of 97 purchases at the drive-up window of a fast-food establishment, 28 were made with a major credit card.
Find a 98% confidence interval for the population proportion of purchases paid with a major credit card.
Round to one decimal place.
Click here to see answer by jam007(5) |
Question 770572: a large shipment of books contains 5% with imperfect bindings.find the probabilities that among 100 books randomly selected from the shipment :
1- exactly 4 will have imperfect binding?
2-al least 2 will have imperfect binding (use poisson app)?
3-between 2 and 10 (both inclusive) will have imperfect binding (use normal app)?
Click here to see answer by oscargut(2103) |
Question 770636: Can you please help me solve this binomial distribution probelm?
The graph shows the results of a survery of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participated in the survery and ask each one of them to name the most annoying habit of other drivers. Let x represent the number who named talking on cell phones as the most annoying habit. compare parts (s) through c
Talking on the phone -27%
Slow drivers-22%
pushy drivers who tailgate 18%
weave through traffic 13%
other 20%
Find the probability of each value of x to construct a binomial distribution?
Click here to see answer by DebbieMByrd(1)  |
Question 770626: Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that twelve married women are having coffee together one morning. Find the following probabilities.
all of them dislike their mother-in-law
none of them dislike their mother-in-law
at least ten of them dislike their mother-in-law
no more than two of them dislike their mother-in-law
Click here to see answer by jam007(5) |
Question 770727: there are 5 boxes with 4 marble each.the marbles are either red or black.no two boxes have same number of marbles.then what is the probability that if u select a box and the first two marbles are red then the remaining is black
Click here to see answer by oscargut(2103) |
Question 770669: On the way to work a person passes through three intersections monitored by traffic lights. The location and operation of these traffic lights is such that, to all intents and purposes, they appear to operate independently to a person travelling from one to another. The probability of a red light is 0.4, 0.8, and 0.5 respectively for each of the traffic lights.
(a) Find the probability function of X, the number of red lights the person encounters in a single trip.
(b) Compute the mean of X.
(c) Assume that the waiting time for each red light is two minutes. What is the mean waiting
time in one trip?
Click here to see answer by oscargut(2103) |
Question 770754: It takes an avarege of 70 minutes with standard deviation of 10 minutes to assemble a particular microcomputer. Assume that assembly time is normally distributed.
What is the probability that a given microcomputer will:
1. take between 70 and 80 minutes to be assembled?
2. will be assembled within 62 minutes?
3. take between 56 and 72 minutes to be assembled?
Click here to see answer by Jc0110(165) |
Question 770822: What is the coefficient of correlation if given r^2 = 0.89 for a scatter plot with a linear equation (grade = -0.1106 class size + 76.3)?
I am not sure if I am correct, but is the answer 0.94? If it is not correct, please show the work to get an alternate answer.
Click here to see answer by oscargut(2103) |
Question 771114: 11) In the game of poker, a typical hand consists of 5 cards, drawn for an ordinary pack of 52 playing cards, without replacement. Different combinations of cards in your hand determine whether you win.
a) How many ways can five cards be dealt, from a pack of 52 cards?
b) A possible winning combination is to have 4 of the same kind (i.e. all of the Queens). If a single hand is dealt, what is the probability of the hand having all 4 Aces?
c) What is the probability of having 4 of a kind of any card?
Click here to see answer by Edwin McCravy(20054) |
Question 771190: A garden is planted with three type of seeds ABC, the probability that any seed will germinate is 2/3. If the seed are planted simultaneously, find the probability that (a) only one seed germinates (b) exactly two seeds germinate
Click here to see answer by Jc0110(165) |
Question 771241: It takes on average ,70 minutes with a standard deviation of 10 minutes to assemble a particular microcomputer will:
Assume that assembly time is normally distributed.
a. What is the probability that a given microcomputer will:
i. Take between 70 and 80 minutes to be assembled?
ii. Will be assembled within 62 minutes?
iii. Take between 56 and 72 minutes to be assembled?
b.find the following probabilities for the standard normal distribution,z:
i. P(z>1.5)
ii. P(z<-0.68)
iii. P(0
Click here to see answer by oscargut(2103) |
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