Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1181563: 1. A simple random sample is taken from a normal population. Choose the one statement that is
true.
a. We can never ensure that the distribution of the sample mean is normal or
approximately normal.
b. If the sample mean equals the population mean, then the distribution of the sample
mean must be normal or approximately normal.
c. We can be certain that the sample mean is normal or approximately normal only if the
sample size is greater than 30.
d. For any sample size, the distribution of the sample mean is normal or approximately
normal.
Click here to see answer by Boreal(15235)   |
Question 1181555: You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of x = 74 hours with a standard deviation of s = 5 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 95% level of confidence.
What sample size should you gather to achieve a 0.45 hour margin of error? Round your answer up to the nearest whole number.
n = ______ bacteria
Click here to see answer by Boreal(15235) |
Question 1181573: The heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm with a standard
deviation of 8.9 cm.
a. about how many plants whose heights are between 82 and 90 cm?
b. about how many plants whose heights are between 70 and 75 cm?
c. if 20% of the tallest plants are to be trimmed, then what is the starting height of the plants that the
gardener must choose to trim?
Click here to see answer by Boreal(15235) |
Question 1181874: The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 120 and standard deviation of 20 .
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.
(a) Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.
____________ %
(b) Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1? Give your answer rounded to two decimal places.
_____________ %
(c) Your doctor tells you that you are in the 30th percentile (e.g. bottom 30%) for blood pressure among US adults. What is your systolic BP? Give your answer
rounded to two decimal places.
______________
Click here to see answer by Boreal(15235) |
Question 1181875: 9) A developmental psychologist studies the number of words seven infants have learned at a particular age. The numbers are: 10, 12, 8, 0, 3, 40, and 18. Figure the
(a) mean,
(b) median, and
(c) standard deviation for the number of words learned by these seven infants.
(d) Explain what you have done and what the results mean to a person who has never had a course in statistics.
Click here to see answer by ikleyn(52752)  |
Question 1181875: 9) A developmental psychologist studies the number of words seven infants have learned at a particular age. The numbers are: 10, 12, 8, 0, 3, 40, and 18. Figure the
(a) mean,
(b) median, and
(c) standard deviation for the number of words learned by these seven infants.
(d) Explain what you have done and what the results mean to a person who has never had a course in statistics.
Click here to see answer by Boreal(15235) |
Question 1181892: The financial director of a hardware wholesaler has asked the accountant to ring each customer five days before their account payment is due, as a means of reducing the number of late payments. As a result of time constraints, however, only 60% of customers receive such a call from the accountant. Of the customers called, 90% pay on time, while only 50% of those not called pay on time. The company has just received a payment on time from a customer. What is the probability that the accountant called this customer?
Click here to see answer by ikleyn(52752) |
Question 1181895: Three out of four people think most advertising seeks to persuade people to buy things they don't need or can't afford. The probability that exactly 5 out of 9 randomly selected people will agree with this statement is
Click here to see answer by ikleyn(52752) |
Question 1181900: Two out of four people think most advertising seeks to persuade people to buy things they don't need or can't afford. The probability that exactly 5 out of 9 randomly selected people will agree with this statement is
Click here to see answer by VFBundy(438)  |
Question 1181901: Two hundred people apply for a job as receptionists at a five-start hotel. Half of them have completed university while the other half have not. If the human resource department selects 3 applicants at random, find the probability that all 3 are university graduates. (Please round to three decimal places)
Click here to see answer by VFBundy(438) |
Question 1181910: Two hundred people apply for a job as receptionists at a five-start hotel. Half of them have completed university while the other half have not. If the human resource department selects 3 applicants at random, find the probability that all 3 are university graduates. (Please round to three decimal places)
Click here to see answer by Boreal(15235) |
Question 1181557: If n=23, -x(x-bar)=32, and s=15, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
____ < μ < _______
Click here to see answer by Boreal(15235) |
Question 1181629: A distribution of values is normal with a mean of 33 and a standard deviation of 91.4.
Find P26, which is the score separating the bottom 26% from the top 74%.
P26 =
Enter your answer as a number accurate to 4 decimal places.
Click here to see answer by Boreal(15235) |
Question 1181639: Solve for the t - computed and determine the t - tabular of the situation
given below.
A course in mathematics is taught to 15 students by explicit method. Another
group of 17 students was given the same course by means of another method. At the
end of the semester, the same test was administered to each group. The 15 students
under method A made an average of 85 with a standard deviation of 4, while the 17
students under method B made an average of 81 with a standard deviation of 5. Test
the null hypothesis of no significant difference in the performance of the two groups of
students at 5% level of significance.
H0:
H1:
Level of Significance:
Test:
Critical Region:
Solution:
Decision:
Conclusion:
(Could someone help me with this? I'm lacking of time) Thank you very much.
Click here to see answer by Boreal(15235) |
Question 1181648: A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score,μ,for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 10, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 79.
Based on this information, answer the questions below.
1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
2. In the context of this test, what is a Type II error?
A Type II error is ____ ____ the hypothesis that μ is ____ ____ when, in fact, μ is ____ _____.
3. Suppose that the psychologist decides to reject the null hypothesis. What sort of error might she be making?
I don't really understand where to start with these kind of problems or I would show some sort of work. I would actually like to know if this could be done in excel? Thats how I do most of my statistics. Thank you
Click here to see answer by Boreal(15235) |
Question 1181916: Construct a 99% confidence interval for the population mean, μ. Assume the population has a normal distribution. A group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years. Then interpret your results. Show all your work.
Click here to see answer by Boreal(15235) |
Question 1181929: In the game “Making Green”, seen below, a player spins twice. If the player gets blue in one section and yellow in the
other, the player wins, because blue and yellow make green. The player can choose either spinner for each spin.
Three people play the game. Player 1 spins spinner A twice. Player 2 spins spinner A once and spinner B once. Player 3
spins spinner B twice. Who has the best chance to Make Green?
Click here to see answer by Solver92311(821)  |
Question 1181938: Calculate both the sample and the population standard deviations.
x 19 14 17 30 15 13 10
Show the following answers to 1 decimal point.
Sample Standard Deviation (s)= ____
Population Standard Deviation (o)= ____
Click here to see answer by ikleyn(52752) |
Question 1181935: In the game “Making Green”, a player spins twice. If the player gets blue in one section and yellow in the
other, the player wins, because blue and yellow make green. The player can choose either spinner for each spin.
Three people play the game. Player 1 spins spinner A twice. Player 2 spins spinner A once and spinner B once. Player 3
spins spinner B twice. Who has the best chance to Make Green?
I can't add a picture, but hopefully this makes sense. Spinner A is broken down so each color (red, blue, yellow and orange) takes up 25% of the circle. Spinner B has 50% yellow and the other colors have an equal share of the other 50% (16.6% each).
Click here to see answer by greenestamps(13195)  |
Question 1181935: In the game “Making Green”, a player spins twice. If the player gets blue in one section and yellow in the
other, the player wins, because blue and yellow make green. The player can choose either spinner for each spin.
Three people play the game. Player 1 spins spinner A twice. Player 2 spins spinner A once and spinner B once. Player 3
spins spinner B twice. Who has the best chance to Make Green?
I can't add a picture, but hopefully this makes sense. Spinner A is broken down so each color (red, blue, yellow and orange) takes up 25% of the circle. Spinner B has 50% yellow and the other colors have an equal share of the other 50% (16.6% each).
Click here to see answer by Solver92311(821) |
Question 1181951: The probability that a vehicle entering the Luray Caverns has Canadian license plates is 0.12; the probability that it is a camper is 0.28; and the probability that it is a camper with Canadian license plates is 0.09. What is the probability that
(i) A camper entering the Luray Caverns has Canadian license Plates.
(ii) A vehicle with Canadian license plates entering the Luray Caverns is a camper.
(iii) A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper.
Click here to see answer by ikleyn(52752) |
Question 1181957: 2. A hospital is studying the delivery time of two laundry companies. The hospital has been using Company A for the past year and is basically satisfied with time the company takes to return laundry to the hospital. The hospital is prepared to stay with Company A if the mean delivery time is the same as or less than that of a competitor company - Company B. However, if the hospital finds that the mean delivery time of Company B is less than that of Company A, it will start using the laundry services of Company B. Independent samples showed the following delivery time characteristics for the two companies.
a. What are the null and alternative hypotheses for this situation?
Click here to see answer by ikleyn(52752) |
Question 1181965: I. A sales manager receives 6 calls on average between 9:30 a.m. and 10:30 a.m. on a weekday.
Find the probability that:
a) he will receive 2 or more calls between 9:30 a.m. and 10:30 a.m. on a certain weekday.
b) he wiI1 receive exactly 2 calls between 9:30 a.m. and 9:40 a.m. on a certain weekday.
c) during a 5 day working week, there will be exactly 3 days on which he will receive no
calls between 9:30 a.m. and 9:40 a.m.
Click here to see answer by Boreal(15235) |
Question 1181958: 1. A student believes that the average grade on the statistics final examination was 83. A sample of 32 final examinations was taken. The average grade in the sample was 80.5 with a standard deviation of 10.
Develop the appropriate hypotheses to test the student’s claim.
and At α = .05, what is your conclusion about the student’s claim?
Click here to see answer by Boreal(15235) |
Question 1181944: A random sample of 25 laboratory mice was taken. The mean weight for this sample is 33gm
with a sample standard deviation of 5gm. Using 0.05 significance level, test the claim that the
average weight of the mice is 30gm
Click here to see answer by Boreal(15235) |
Question 1181977: The average amount of time a person exercises daily is 22.7 minutes in a population. A random sample of 20 people showed an average of 29.8 minutes in time with a standard deviation of 9.8 minute. At a = 0.01, can it be concluded that the average differs from the population average?
Click here to see answer by Boreal(15235) |
Question 1181976: The average household income for a recent year in Fiji was $30,000. Five years earlier the average household income was $24,500. Assume sample sizes of 34 were used and the population standard deviations of both samples were $5928. At 5% level of significance is there enough evidence to believe that the average household income has increased?
Click here to see answer by Boreal(15235) |
Question 1181989: Suppose that 50% of the women who gave birth at a certain hospital last year were over 30 years old, and that 43% were unmarried. If 19% of the women were both unmarried and 30 over what is the probability that a woman who gave birth at the hospital was over 30 or unmarried?
Click here to see answer by ikleyn(52752) |
Question 1182029: At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .46. Find the probability that in a sample of 10 customers, at least 3 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)
Click here to see answer by ikleyn(52752) |
Question 1182041: The probability distribution for the number of cars sold during a car dealer is given below:
X
0
1
2
3
4
5
(X)
0.18
0.39
0.24
0.14
0.04
0.01
The probability that at least 3 cars were sold on a particular day is:
Click here to see answer by ikleyn(52752) |
Question 1182068: The unemployment rate in a city is 15%. If 10 people from the city are sampled at random, find the probability that fewer than 2 of them are unemployed.
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Click here to see answer by ikleyn(52752) |
Question 1182067: A binomial experiment with probability of success p=0.2 and n=5 trials is conducted. What is the probability that the experiment results in exactly 2 successes?
Do not round your intermediate computations, and round your answer to three decimal places.
Click here to see answer by ikleyn(52752) |
Question 1182065: The unemployment rate in a city is 15%. If 10 people from the city are sampled at random, find the probability that fewer than 2 of them are unemployed.
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Click here to see answer by ikleyn(52752) |
Question 1182066: A binomial experiment with probability of success p=0.73 and n=9 trials is conducted. What is the probability that the experiment results in more than 7 successes?
Do not round your intermediate computations, and round your answer to three decimal places.
Click here to see answer by ikleyn(52752) |
Question 1182053: Explain why it is not necessary to assume that the underlying population of ages is normally distributed. As part of your answer, cite the theorem that justifies our ability to disregard the shape of the population distribution, in this case.
Click here to see answer by ikleyn(52752) |
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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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