Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1174497: A population of values has a normal distribution with μ=33.7μ=33.7 and σ=56.2σ=56.2. You intend to draw a random sample of size n=22n=22.
Find the probability that a single randomly selected value is greater than -2.2.
P(X > -2.2) =
Find the probability that a sample of size n=22n=22 is randomly selected with a mean greater than -2.2.
P(M > -2.2) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Boreal(15235)   |
Question 1174600: Each year, ratings are compiled concerning the performance
of new cars during the first 90 days of use. Suppose
that the cars have been categorized according to whether the
car needs warranty-related repair (yes or no) and the country
in which the company manufacturing the car is based
(United States or not United States). Based on the data collected,
the probability that the new car needs warranty repair
is 0.04, the probability that the car was manufactured by a
U.S.-based company is 0.60, and the probability that the new
car needs a warranty repair and was manufactured by a U.S.-
based company is 0.025. Construct a contingency table to
evaluate the probabilities of a warranty-related repair. What
is the probability that a new car selected at random
Click here to see answer by ikleyn(52756)  |
Question 1174602: In a certain city, sports bikes are being targeted by thieves. Assume that the probability of a sports bike being stolen is 0.09 while the probability is only 0.5 for a regular bike. Taking, as an approximation for all bikes in that area, the nationwide proportion 0.19 of sports bikes, find the probability that a bike will be stolen.
Select one:
a. 0.52
b. 0.32
c. 0.22
d. 0.42
Click here to see answer by ikleyn(52756) |
Question 1174627: Three machines A, B and C make 20%, 30% and 50% of T shirts
5% of T shirts produced by A are red and 7 % of T shirts produced by A are green.
8% of T shirts produced by B are red and 9% of T shirts produced by B are green
6% of T shirts produced by C are red and 7% of T shirts produced by C are green
Click here to see answer by ikleyn(52756) |
Question 1174630: in regression line y=a+bx,y denominates the telephone bill amount and x denominates the units consumed.when 200 unit were consumed the Bill amount was Tsh 2500000 And when 500 unit were consumed the bill amount was tsh 4900000 find a and b
Click here to see answer by MathLover1(20849)  |
Question 1174532: Please help answer and show working. Thanks!
Applying the Central Limit Theorem:
The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 79000 cells. The FDA then tasks you with checking to see if this is accurate.
You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 776973 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample.
a. Why is the sampling distribution approximately normal?
b. What is the mean of the sampling distribution?
c. What is the standard deviation of the sampling distribution?
d. Assuming that the population mean is 750,000, what is the probability that a simple random sample of 45 1 cc specimens has a mean of at least 776973 pus cells?
e. Is this unusual? Use the rule of thumb that events with probability less than 5% are considered unusual.
f. Explain your results above and use them to make an argument that the assumed population mean is incorrect. (6 points) Structure your essay as follows:
1. Describe the population and parameter for this situation.
2. Describe the sample and statistic for this situation.
3. Give a brief explanation of what a sampling distribution is.
4. Describe the sampling distribution for this situation.
5. Explain why the Central Limit Theorem applies in this situation.
6. Interpret the answer to part d.
7. Use the answer to part e. to argue that the assumed population mean is either correct or incorrect. If incorrect, indicate whether you think the actual population mean is greater or less than the assumed value.
8. Explain what the FDA should do with this information
Click here to see answer by ikleyn(52756) |
Question 1174620: please please please help with the answers urgently. please right away if possible.
he amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 79000 cells. The FDA then tasks you with checking to see if this is accurate.
You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 776973 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample.
a. Why is the sampling distribution approximately normal?
b. What is the mean of the sampling distribution?
c. What is the standard deviation of the sampling distribution?
d. Assuming that the population mean is 750,000, what is the probability that a simple random sample of 45 1 cc specimens has a mean of at least 776973 pus cells?
e. Is this unusual? Use the rule of thumb that events with probability less than 5% are considered unusual.
Yes
No
f. Explain your results above and use them to make an argument that the assumed population mean is incorrect. (6 points) Structure your essay as follows:
Describe the population and parameter for this situation.
Describe the sample and statistic for this situation.
Give a brief explanation of what a sampling distribution is.
Describe the sampling distribution for this situation.
Explain why the Central Limit Theorem applies in this situation.
Interpret the answer to part d.
Use the answer to part e. to argue that the assumed population mean is either correct or incorrect. If incorrect, indicate whether you think the actual population mean is greater or less than the assumed value.
Explain what the FDA should do with this information.
Click here to see answer by ikleyn(52756) |
Question 1174598: Please help help urgently please answer and show all workings. Thanks!
Applying the Central Limit Theorem:
The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 79000 cells. The FDA then tasks you with checking to see if this is accurate.
You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 776973 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample.
a. Why is the sampling distribution approximately normal?
b. What is the mean of the sampling distribution?
c. What is the standard deviation of the sampling distribution?
d. Assuming that the population mean is 750,000, what is the probability that a simple random sample of 45 1 cc specimens has a mean of at least 776973 pus cells?
e. Is this unusual? Use the rule of thumb that events with probability less than 5% are considered unusual.
f. Explain your results above and use them to make an argument that the assumed population mean is incorrect. (6 points) Structure your essay as follows:
1. Describe the population and parameter for this situation.
2. Describe the sample and statistic for this situation.
3. Give a brief explanation of what a sampling distribution is.
4. Describe the sampling distribution for this situation.
5. Explain why the Central Limit Theorem applies in this situation.
6. Interpret the answer to part d.
7. Use the answer to part e. to argue that the assumed population mean is either correct or incorrect. If incorrect, indicate whether you think the actual population mean is greater or less than the assumed value.
8. Explain what the FDA should do with this information
Click here to see answer by ikleyn(52756) |
Question 1174618: Three students are drawn in succession without replacement from a group containing 9 freshmen and 10 sophomores. Let be the random variable representing the number of freshmen. Find the possible outcomes that only one freshman is selected.
Click here to see answer by ikleyn(52756) |
Question 1174480: Example of Quantitative Data:
A manager of a store wishes to find the number of hours customers spend online shopping for merchandise. Data was randomly collected of forty customers. The data is given in hours. Construct a relative frequency histogram.
1 3 4 2 4
0 2 0 1 1
0 3 2 3 2
0 1 0 2 4
9 1 0 3 4
5 4 0 2 3
9 8 4 5 2
1 1 0 2 3
Click here to see answer by ikleyn(52756) |
Question 1174642:
A sample of 400 Male is found to have a mean height 171.40cm.can it be reasonably regarded as a sample from Large population with mean height 171.20cm and standard deviation 3.3? Test at 5% level of significance
Click here to see answer by Boreal(15235) |
Question 1174649: A teacher has two boxes of pens. Box 1 contains 7 blue pens and 3 black
pens, box 2 contains 2 blue pens and 8 black pens. The probability of
selecting a pen from box 1 is 2
3
and the probability of selecting a pen
from box 2 is 1
3
. If a pen is selected at random what is the probability
that it is from box 1 given that it is black?
Click here to see answer by Boreal(15235) |
Question 1174649: A teacher has two boxes of pens. Box 1 contains 7 blue pens and 3 black
pens, box 2 contains 2 blue pens and 8 black pens. The probability of
selecting a pen from box 1 is 2
3
and the probability of selecting a pen
from box 2 is 1
3
. If a pen is selected at random what is the probability
that it is from box 1 given that it is black?
Click here to see answer by ikleyn(52756) |
Question 1174664: Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:
2.2, 2.4,2.6 ,2.4 ,2.1 ,2,2.4,2.7 ,2 ,2.9
A. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places)
B. Which distribution should you use for this problem?
t-distribution normal distribution
C. Why?
D. What must be true in order to construct a confidence interval in this situation?
The population must be approximately normal. The population standard deviation must be known. The population mean must be known. The sample size must be greater than 30
E. Construct a 99% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places
F. Interpret the confidence interval in a complete sentence. Make sure you include units
G. What does it mean to be "99% confident" in this problem? Use the definition of confidence level.
There is a 99% chance that the confidence interval contains the population mean The confidence interval contains 99% of all samples. 99% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean
H. Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible? No, Yes
Is it likely? No, Yes
I. Use the results above and make an argument in favor or against the company's statement. Structure your essay as follows:
1. Describe the population and parameter for this situation.
2. Describe the sample and statistic for this situation.
3. Give a brief explanation of what a confidence interval is.
4. Explain what type of confidence interval you can make in this situation and why.
5. Interpret the confidence interval for this situation.
6. Restate the company's claim and whether you agree with it or not.
7. Use the confidence interval to estimate the likelihood of the company's claim being true.
8. Suggest what the company should do.
Click here to see answer by ikleyn(52756) |
Question 1174693: Among 200 patients at a Tikur Anbessa hospital. 40 of them are cardiac patients,
100 of them are cancer, patients and 60 of them are diabetic patients. The hospital
wants to give free medical service for some patients.
A) What is the probability that 5 cardiac and 10 cancer patients are given free
medical treatment?
B) What is the probability that 2 cardiac, 5 cancer patients and 4 diabetic patients
are given free medical treatment?
Click here to see answer by ikleyn(52756) |
Question 1174703: State and prove that two events A and B will both occur is equal to the probability that one of the events will occur multiplied by the conditional probability that the other event will occur given that the first event has occurred.
Q.No.3. Given the following set of values. Determine the equation of regression line Y on X.
X 0 5 10 15 20 25
Y 12 15 17 22 24 30
(i) Find the estimated value of Y when X = 22.
(ii) Find the standard deviation of least square regression line.
(iii) Calculate the correlation between the variable X and Y.
Click here to see answer by ikleyn(52756) |
Question 1174759: A bag contains 8 white marbles, 4 black marbles, and 3 red
marbles. You pick out a marble, record its color, and put the marble back in the bag.
If you repeat this process 45 times, about how often do you expect to remove a black or red marble from the bag?
A.5/9
B.1/135
C.2/27
D.5/9
Click here to see answer by ikleyn(52756) |
Question 1174775: PLEASE HELP ME SOLVE THIS, THANK YOU!
The performance of 50 teachers in the science department showed a
mean of 98 with standard deviation of 9.2. A sample of 40 teachers
from the English Department showed an average performance of 95
with a standard deviation of 7.3. Is there a difference in performance
between the two samples? Use a 0.05 level of significance.
Click here to see answer by ewatrrr(24785)  |
Question 1174796: Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.6 and a standard deviation of 0.42. Using the empirical rule, what percentage of the students have grade point averages that are between 1.76 and 3.44?
Click here to see answer by Boreal(15235) |
Question 1174756: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0.256°C and 1.067°C.
Click here to see answer by Boreal(15235) |
Question 1174701: Statistics collected over past years revealed that the percentage of students graduated from a given university who got a job within one year after graduation was 80% for students holding a degree in Science or Engineering, 70% for students holding a degree in Economics, and 60% for students holding a degree in Humanities.
Among students who are expected to graduate in the current academic year, 30% are enrolled in a Science or Engineering program, 30% in an Economics program, and 40% in a Humanities program.
What is the probability that any student who graduates in the current academic year will get a job within one year after graduation?
Click here to see answer by ewatrrr(24785) |
Question 1174701: Statistics collected over past years revealed that the percentage of students graduated from a given university who got a job within one year after graduation was 80% for students holding a degree in Science or Engineering, 70% for students holding a degree in Economics, and 60% for students holding a degree in Humanities.
Among students who are expected to graduate in the current academic year, 30% are enrolled in a Science or Engineering program, 30% in an Economics program, and 40% in a Humanities program.
What is the probability that any student who graduates in the current academic year will get a job within one year after graduation?
Click here to see answer by ikleyn(52756) |
Question 1174847: Is it B? I want to check my answer.
Camille is saving for a laptop that costs about $850. To model her savings plan and determine how many more months it will take her to reach her goal, she recently created this equation, where y represents the total amount saved and x represents the number of months. Which statement about her work is true?
The question is provided in the link here: https://i.imgur.com/YRMjv5R.png
A. Camille used the associative property in step 3.
B. Camille used the multiplication property of equality in step 4.
C. Camille used the subtraction property of equality in step 5.
D. Camille used the substitution property in step 6.
Click here to see answer by Theo(13342)  |
Question 1174863: 83% of Factory workers use some sort of social media during their shifts. Find the mean, variance, and standard deviation of the number of factory workers who use social media, if a sample of 200 factory workers is selected
Click here to see answer by ewatrrr(24785) |
Question 1174830: Sir Jay has 184 students in his Basic Calculus class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 85 and 95? Express answer to the nearest students
Click here to see answer by ewatrrr(24785) |
Question 1174833: The time required to complete a final examination in a particular college course is normally distributed, with mean of 80 minutes and a standard deviation of 10 minutes. What is the probability a student will complete the exam in a time between 60 and 85 minutes? (Round-off to 4 decimal places) *
Click here to see answer by ewatrrr(24785) |
Question 1174894: Is it D? I want to check my answer.
Eduardo wants to save up to take a vacation. He estimates that he’ll need about $2,000 for the vacation. He determines he can save $125 a month. To keep a track of his progress, he wants to create a graph to model the situation. How should Eduardo label and scale his graph?
The question is provided in the link here: https://i.imgur.com/TVpAlsE.png
A. x-axis scale, 0 - 20; label, Months
y-axis scale, 0 - 2,000; label, Total Savings ($)
B. x-axis scale, 0 - 20; label, Total Savings ($)
y-axis scale, 0 - 2,000; label, Months
C. x-axis scale, 0 - 2,000; label, Total Savings ($)
y-axis scale, 0 - 15; label, Months
D. x-axis scale, 0 - 15; label, Months
y-axis scale, 0 - 2,000; label, Total Savings ($)
Click here to see answer by MathLover1(20849) |
Question 1174877: A test is divided into 4 sets of problems with the same number of problems in each set. Alice correctly solves 35 problems. How many problems are on the test if Alice solved more than 60 percent of all problems, but less than 65 percent of all problems? Give all possible answers.
Click here to see answer by ikleyn(52756) |
Question 1174901: Select All the correct answers.
Anabelle recorded her expenses for the month of February. Which pie chart and bar chart accurately represent Anabelle’s expenses?
The question is provided in the link here: https://i.imgur.com/uvbo65p.png
A. https://i.imgur.com/ZzLXQMZ.png
B. https://i.imgur.com/rFSA92z.png
C. https://i.imgur.com/N8P6lFj.png
D. https://i.imgur.com/R4F2cWg.png
E. https://i.imgur.com/unthQq4.png
Click here to see answer by MathLover1(20849) |
Question 1174929: you are studying a particular acne medicine that is associated with developing freckles in teens. you believe that this medicine causes freckles for 80% of the teens who use it, and you are interested in evaluating whether that’s true.
Click here to see answer by ewatrrr(24785) |
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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, 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