Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1203058: An orange juice producer buys oranges from a large orange grove that has one variety of oranges. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.10 ounces and a standard deviation of 0.20 ounces. Suppose that you select a sample of 16 oranges.
a. What is the probability that the sample mean amount of juice will be at least 4.01 ounces?
b. The probability is 78% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean? There is a 78% probability that the sample mean amount of juice will be contained between ______ounce(s) and _____ ounce(s) (Round to two decimal places as needed. Use ascending order.)
c. The probability is 73% that the sample mean amount of juice will be greater than what value?
Click here to see answer by Theo(13342)   |
Question 1203041: The television show Found has been successful for many years. That show recently had a share of 28, which means, that among the TV sets in use, 28% were tuned to Found. An advertiser wants to verify that 28% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a Found broadcast.
Find the probability that none of the households are tuned to Found.
P(none) =
Find the probability that at least one household is tuned to Found.
P(at least one) =
Find the probability that at most one household is tuned to Found.
P(at most one) =
If at most one household is tuned to Found, does it appear that the 28% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Found unusual?)
no, it is not wrong
yes, it is wrong
Click here to see answer by Theo(13342) |
Question 1203069: Given a normal distribution with mean = 51 and Standard deviation = 8, and given you select a sample of n = 100, complete parts (a) through (d).
a. What is the probability that X is less than 49?
P(X <49) =
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that X is between 49 and 51.5?
P(49 < X < 51.5) =
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that X is above 51.5?
P(X > 51.5) =
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 35% chance that X is above what value?
X=
(Type an integer or decimal rounded to two decimal places as needed.)
Click here to see answer by Theo(13342) |
Question 1203068: The fill amount of soft drink bottles is normally distributed with a mean of 2.0 litres and a standard deviation of 0.07 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be�
a. Between 1.99 and 2.0 litres?
b. Below 1.98 litres?
c. Above 2.01 litres?
d. The probability is 90% that the sample mean will contain at least how much soft drink?
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)?
Click here to see answer by Theo(13342) |
Question 1203079: a manufacturer knows that their items have a normally dostributed lifespan with a mean of 10.2 years and a standard deviation of 2.9 years. if you randomly purchase one item what is the probability it will last longer than 5 years?
Click here to see answer by ikleyn(52780)  |
Question 1203080: a trucking firm suspects that the mean lifetime of a certain tire it uses is less than 34,000 miles. To check the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 33,390 miles with a standard deviation of 1200 miles. At α = 0.05
Click here to see answer by Theo(13342) |
Question 1203083: Five percent of all items sold by mail-order company are returned by customers for a refund.
Find the probability (and show the tree diagram) that two of the items sold during a given hour by this company
a. Both will be returned for a refund
b. Neither will be returned for a refund
Click here to see answer by ikleyn(52780) |
Question 1203088: 1) n= 10
2698, 2028, 2474, 2395, 2372, 2475, 1927, 3006, 2334, 2379,
i. point estimate of the population mean
The point estimate of the population mean is 2409
ii. 95% confidence interval for the population mean
confidence interval = z for 95% CI= 1.96
95% confidence interval = (i did a lot of these kind of questions already but i still wasn't sure whether to use t-statistics or z-statistics in a lot of those questions, so can you pls help explain? Also i dont understand how do i find the standard deviation)
Click here to see answer by Theo(13342) |
Question 1203111: The value of a sports franchise is directly related to the amount of revenue that a franchise can generate. The accompanying data table gives the value and the annual revenue for major sport teams. Suppose you want to develop a simple linear regression model to predict franchise value based on annual revenue generated.
Annual_Revenue_(millions_of_dollars) Franchise_Value_(millions_of_dollars)
203 515
176 326
227 558
168 229
238 585
230 683
219 642
151 211
162 392
250 838
192 450
222 539
227 709
247 735
195 471
1.Use the least-squares method to determine the regression coefficients b0 and b1.
b Subscript 0
enter your response here
b Subscript 1
enter your response here
(Round to two decimal places as needed.)
Predict the mean franchise value (in millions of dollars) of a sports team that generates 200$ million of annual revenue.
Yi bar= $
enter your response here million (Round to the nearest integer as needed.)
Click here to see answer by Theo(13342) |
Question 1202981: HELP PLS 12-1
What is the critical F-value when the sample size for the numerator is sixteen and the sample size for the denominator is ten? Use a two-tailed test and the 0.02 significance level. (Round your answer to 2 decimal places.)
Click here to see answer by Theo(13342) |
Question 1202980: **Help** 12-4
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean. A sample of 21 oceanfront homes sold within the last year revealed the standard deviation of the selling prices was $45,600. A sample of 18 homes, also sold within the last year, that were one to three blocks from the ocean revealed that the standard deviation was $21,330. At the 0.01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes?
c. What is the decision rule? Use the 0.01 significance level. (Round your answer to 2 decimal places.)
d. What is the value of F? (Round your answer to 2 decimal places.)
Click here to see answer by Theo(13342) |
Question 1202979: **Please help** 12-3
Arbitron Media Research Incorporated conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 8 men was 44 minutes per day. The standard deviation was 9 minutes per day. The mean listening time for a sample of 9 women was also 44 minutes, but the standard deviation of the sample was 24 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?
b. State the decision rule. (Round your answer to 2 decimal places.)
c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
d. Compute the p-value. (Round your answer to 4 decimal places.)
Click here to see answer by Theo(13342) |
Question 1202775: Researchers presented data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery and again 10 minutes before surgery. The data are presented below:
Patient ID
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
12 hrs
10
6.5
8
12
5
11.5
5
3.5
7.5
5.8
4.7
8
7
17
8.8
18
15
4.4
2
10 min.
6.5
14
13.5
18
14.5
9
18
42
7.5
6
25
12
52
20
16
15
11.5
2.5
2
Based on these data, what effect does increased stress have on endorphin levels? Test the hypothesis at α = 0.05.
Click here to see answer by Jason57t(3) |
Question 1203144: A communication network has a built-in safeguard system against failures. In this system, if line 1 fails, it is bypassed and line 11 is used. The probability of failure of any one of these three lines is 0.01, and the failures of these lines are independent events. What is the probability that this system of three lines does not completely fail?
Click here to see answer by ikleyn(52780) |
Question 1202765: The data below were collected in an investigation of the maternal behavior of laboratory rats. The response variable is the time (in seconds) required for the mother to retrieve the pup to the nest, after being moved a fixed distance away. In the study, pups of different ages were used. Carry out a one-way analysis of variance of the data. Test the hypothesis at alpha 0.05. Interpret your results.
Maternal Behavior in Rats
Age of Pup
5 Days 20 Days 35 Days
15 30 40
10 15 35
25 20 50
15 25 43
20 23 45
18 20 40
Click here to see answer by Theo(13342) |
Question 1202766: 3. Are sexually active teenagers any better informed about AIDS and other potential health problems related to sex than teenagers who are sexually inactive? A 15 - item test of general knowledge about sex and health was administered to random samples of teens who are sexually inactive, teens who are sexually active but with only a single partner, and teens who are sexually active with more than one partner. Is there any significant difference in the test scores? Test the hypothesis at = 0.05.
Inactive Active (one partner) Active (More than one partner)
10 11 12
12 11 12
8 6 10
10 5 4
8 15 3
5 10 15
Click here to see answer by Theo(13342) |
Question 1202781: 5. A health practitioner, in her research project, studied the relationship between the severity of a disease and blood group. The data collected are given in the following table. Can the severity of the condition and blood group be associated? The severity of the disease is classified by blood group in 3000 patients.
Condition Blood Groups
Total
O A B AB
Severe 102 80 20 18 220
Moderate 210 206 50 34 500
Mild 768 1054 250 208 2280
Total 1080 1340 320 260 3000
Test the hypothesis at = 0.05
Click here to see answer by jekoishun(6) |
Question 1202767: A playing-card drawing machine is supposed to draw playing cards at random, as if from an infinite deck of cards. In a draw, you counted 3200 cards, and observed the following:
Spades 808
Hearts 840
Diamonds 800
Clubs 752
Could it be that the draws are equally likely? Or are these discrepancies too much to be random? Test the hypothesis at = 0.05.
Click here to see answer by jekoishun(6) |
Question 1202093: We know both the mean and the standard deviation for the population of Total Behavior Problems scores (µ = 50 and σ = 10). Assume that we have a sample of fifteen children who had spent considerable time in a hospital for serious medical reasons, and further suppose that they had a mean score on the Child Behavior Checklist (CBCL) of 56.0. Test the null hypothesis that these fifteen children are a random sample from a population of normal children (i.e., normal with respect to their general level of behavior problems). Use α = 0.05. Set up 95% CI.
Click here to see answer by Theo(13342) |
Question 1201117: On a gameshow there are n ∈ N doors. Behind one of them is a prize and behind the others there is nothing. The gameshow host knows which door the prize is behind, but the contestant doesn’t. The rules of the game are as follows:
The contestant chooses k < n doors. The host then opens l < k of the doors that the contestant chose and m < n − k of the doors that the contestant did not choose, to reveal that the prize is not behind them. The contestant then gets to open any one of the remaining doors and claim whatever is behind that door.
Suppose that you are a contestant on this gameshow, and you wish to choose between two strategies:
• Strategy 1: Choose k distinct doors uniformly at random in the first step, and then in the second round, select (independently, and uniformly) one of the doors chosen in the first step that the host didn’t open.
• Strategy 2: Choose k distinct doors uniformly at random in the first step, and then in the second round, select (independently, and uniformly) one of the doors not chosen in the first step that the host didn’t open.
Which of the two strategies is better? (Your answer may depend on n, k, l, m).
Click here to see answer by ikleyn(52780) |
Question 1201116: On a gameshow there are n ∈ N doors. Behind one of them is a prize and behind the others there is nothing. The gameshow host knows which door the prize is behind, but the contestant doesn’t. The rules of the game are as follows:
The contestant chooses k < n doors. The host then opens l < k of the doors that the contestant chose and m < n − k of the doors that the contestant did not choose, to reveal that the prize is not behind them. The contestant then gets to open any one of the remaining doors and claim whatever is behind that door.
Suppose that you are a contestant on this gameshow, and you wish to choose between two strategies:
• Strategy 1: Choose k distinct doors uniformly at random in the first step, and then in the second round, select (independently, and uniformly) one of the doors chosen in the first step that the host didn’t open.
• Strategy 2: Choose k distinct doors uniformly at random in the first step, and then in the second round, select (independently, and uniformly) one of the doors not chosen in the first step that the host didn’t open.
Which of the two strategies is better? (Your answer may depend on n, k, l, m).
Click here to see answer by ikleyn(52780) |
Question 1201101: The table summarizes results from 976 pedestrian deaths that were caused by automobile accidents.
Pedestrian Deaths
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 51 85
No 236 604
If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places.
Probability =
Click here to see answer by ikleyn(52780) |
Question 1201100: The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents.
Pedestrian Deaths
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 47 83
No 283 562
If one of the pedestrian deaths is randomly selected, find the probability that neither the pedestrian nor the driver was intoxicated. Please enter a decimal to 4 places.
Probability =
Click here to see answer by ikleyn(52780) |
Question 1202007: A box contains 10 flash drives. 5 flash drives are second hand and contain data. 2 flash drives a randomly chosen from the box. X is equal to 1 if atleast one of the flash drives chosen already contains data, otherwise X is 0.
What distribution is this and what are the parameters?
Click here to see answer by ikleyn(52780) |
Question 1202764: Researchers presented data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery and again 10 minutes before surgery. The data are presented below:
Patient ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
12 hrs 10 6.5 8 12 5 11.5 5 3.5 7.5 5.8 4.7 8 7 17 8.8 18 15 4.4 2
10 min. 6.5 14 13.5 18 14.5 9 18 42 7.5 6 25 12 52 20 16 15 11.5 2.5 2
Based on these data, what effect does increased stress have on endorphin levels? Test the hypothesis at α = 0.05
Click here to see answer by ikleyn(52780) |
Question 1202768: A health practitioner, in her research project, studied the relationship between the severity of a disease and blood group. The data collected are given in the following table. Can the severity of the condition and blood group be associated? The severity of the disease is classified by blood group in 3000 patients.
Condition Blood Groups
Total
O A B AB
Severe 102 80 20 18 220
Moderate 210 206 50 34 500
Mild 768 1054 250 208 2280
Total 1080 1340 320 260 3000
Test the hypothesis at = 0.05
Click here to see answer by ikleyn(52780) |
Question 1203167: Four couples will be seated in 8 theater seats next to one another. Couple 1 is C1 and C2. In how many ways can all of the 8 people be seated in the block of 8 consecutive theater seats so that C1 and C2 are separated by exactly one member of another couple?
Click here to see answer by ikleyn(52780) |
Question 1203175: 1. Carl invested
b) What is the rate of return on this investment? (1pt)
2. Joe has
B He is going
C A savings
3. Bob is trying
4. A physics class
5. A total of
6. Solve for n
7. There are 12 boys
8. 20 girls are
Click here to see answer by ikleyn(52780) |
Question 1203178: In a certain school, the principal gave the analysis of the qualified subject teachers in the school as follows:
English teachers = 10
Biology teachers = 12
French teachers = 6
Mathematics teachers = 8
Physics teachers = 4
If two teachers are to represent the school in a workshop, what is the probability that both will come from either Biology or Physics?
Click here to see answer by greenestamps(13200)  |
Question 1203177: In a certain school, the principal gave the analysis of the qualified subject teachers in the school as follows:
Biology teachers = 12
English teachers = 10
French teachers = 6
Mathematics teachers = 8
Physics teachers = 4
If two teachers are to represent the school in a workshop, what is the probability that both will come from either Physics or Biology?
Click here to see answer by ikleyn(52780) |
Question 1203176: In a certain school, the principal gave the analysis of the qualified subject teachers in the school as follows:
Biology teachers = 12
English teachers = 10
French teachers = 5
Mathematics teachers = 9
Physics teachers = 4
If two teachers are to represent the school in a workshop, what is the probability that both will come from either Biology or Physics?
Click here to see answer by ikleyn(52780) |
Question 1203181: A speed trap on the highway set by the O.P.P. shows that the mean speed of cars is
103.4 km/h with a standard deviation of 9.8 km/h. The posted speed limit on the
highway is 100 km/h.
a. What percentage of drivers are driving under the speed limit?
b. Speeders caught traveling over 15 km/h over the speed limit are subject to
losing demerit points. What percentage of speeders will be subject to
losing demerit points?
c. What percentage of drivers travel between the speed of 105 km/h and 115
km/h?
d. The top 2% of all drivers speeding are subject to losing their license.
According to the data, what speed must a driver be traveling to lose his or
her license?
Click here to see answer by ikleyn(52780) |
Question 1203182: A medical researcher say that less than 25% of U.S. adults are smokers. In a random sample of 200 U.S. adults, 19.3% say that they are smokers. At alpha = 0.05, is there enough evidence to support the researcher's claim?
For the claim below, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic z, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
Click here to see answer by Theo(13342) |
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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, 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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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