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Question 1177764: Let X ∼ N(12, 5). Find the value of x0 such that
(a) P(X > x0) = 0.05
(b) P(X < x0) = 0.98
(c) P(X < x0) = 0.20
(d) P(X > x0) = 0.90
Thank you :)
Click here to see answer by ewatrrr(24785)

Question 1177652: 3- The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate that the process follows the normal probability distribution with a mean amount per bottle of 2.01 liters and a standard deviation of 0.025 liters. The foreman randomly selects 25 bottles from the bottling line and
determines that the mean amount per bottle is 2.005 liters
a. Compute the sampling error
b. Compute the standard error of the sampling distribution of sample means.
c. Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more.
d. Suppose the foreman selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles would have a mean of 1.994 liters or more.

Click here to see answer by Boreal(15235)

Question 1177774: Construct the probability distribution for the sum shown on the faces when two dice, each with 9 faces, are rolled. The the mean, variance, and standard deviation
Click here to see answer by Boreal(15235)

Question 1177812: Find the percentage of the total area under a normal curve
between the given values of z.
My first problem is z = 1.31 and z = 1.73
The book gave the answer 5.3%, which I understand by subtracting.
The second problem is z = -3.02 and z = 2.03
The book gives the answer 97.8%, which I got by adding.
However, I am confused because we are supposed to do the problems the same way. If someone could please walk me through the steps of how they got these answers that would be greatly appreciated.
Click here to see answer by Theo(13342)

Question 1177808: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/45 where x goes between 1 and 46 minutes. Round answers to 4 decimal places when possible.
Click here to see answer by ikleyn(52752)

Question 1177814: consider the numbers 1,4,5,8,9 and 0. if repetition is not aalowed, how many three-digit numbers can be formed from these numbers?
Click here to see answer by math_helper(2461)

Question 1177835: How many combinations are possible? Assume that the items are distinct
1. 7 items chosen 5 at a time
2. 8 items chosen 3 at a time
Click here to see answer by ewatrrr(24785)

Question 1177831: A news report claims that 55% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 62 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?” Do these data provide convincing evidence at the α = 0.05 level that the proportion of all employees in this chain who would say “Yes” differs from 0.55? (Work cooperatively with partner)

Parameter: Statistic:
Hypotheses: Significance level:

Check conditions: Test statistic formula:

Work:
Test statistic value:

Critical value:

Conclude:
Click here to see answer by ewatrrr(24785)

Question 1177830: The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown. At α=0.01, can you reject the dean's claim?
Classroom hours:
11.8

8.6

12.6

7.9

6.4

10.4

13.6

9.1
Parameter: ___________________________ Statistic: ________________________________
Ho: _______________________________ Significance Level: ___________________
Ha: ______________________________________________

Plan:
Name of procedure: _________________________________
Check conditions:
Random: ___________, n>30:________ or Assume normal: _____

Mean of model: ___________________
Standard error: ________________________
d.f.:__________________________

Labeled picture of the model:
Direction of test:___________________

Test statistic formula:

Calculation of test statistic and mark in model:

Decision in context:

Click here to see answer by ewatrrr(24785)

Question 1177824: .n=100,p=0.75
mean=
variance=
SD=

Click here to see answer by ewatrrr(24785)

Question 1177837: A quarterback on a football team has a pass completion rate of 0.62. If, in a given game, he attempts 16 passes, what is the probability that he will complete
(a) 12 passes?
(b) More than half of his passes?
(c) Interpret your result.
(d) Out of the 16 passes, what is the expected number of completions?
Click here to see answer by ewatrrr(24785)

Question 1177829: An employment information service claims the mean annual salary for full-time female workers over age 25 and without a high school diploma is more than $18,500. The annual salaries (in dollars) for a random sample of 12 full-time female workers without a high school diploma are provided below. At the 0.10 significance level, is there enough evidence to support the claim that the mean salary is more than $18,500?
Annual Salaries data:
19665

17312

19794

20403

21864

20177
18328

22445

21354

20143

19316

20237

Parameter: ___________________________ Statistic: ________________________________
Ho: _______________________________ Significance Level: ___________________
Ha: ______________________________________________

Plan:
Name of procedure: _________________________________
Check conditions:
Random: ___________, n>30:________ or Assume normal: _____

Mean of model: ___________________
Standard error: ________________________
d.f.:__________________________

Labeled picture of the model:
Direction of test:___________________

Test statistic formula:

Calculation of test statistic and mark in model:

Decision in context:

Click here to see answer by Boreal(15235)

Question 1177819: What is the probability that the sum is less than or equal to 9
in three rolls of a die ?
Click here to see answer by ewatrrr(24785)

Question 1177823: Suppose that, on average, in every two pages of a book there is one typographical error, and that the number of typographical errors on a single page of the book is a Poisson r.v. with λ = 1/2. What is the probability of at least one error on a certain page of the book? Interpret your result.
Thank you
Click here to see answer by Boreal(15235)

Question 1177874: Round R95 810 971 to the nearest 50 000
Click here to see answer by ewatrrr(24785)

Question 1177881: Find the mean for the data set 99,103,140,153,109,92,125,110,140
Click here to see answer by MathLover1(20849)

Question 1177879: An electrical component was studied in the laboratory, and it was determined that its failure rate was approximately equal to 1/β = 0.05. What is the reliability of such a component at 10 hours?
Thank you

Click here to see answer by ikleyn(52752)

Question 1177878: The hardness of a piece of ceramic is proportional to the firing time. Assume that a rating system has been devised to rate the hardness of a ceramic piece and that this measure of hardness is a random variable that is distributed uniformly between 0 and 10. If a hardness in [5,9] is desirable for kitchenware, what is the probability that a piece chosen at random will be suitable for kitchen use ?
Thank you

Click here to see answer by ikleyn(52752)

Question 1177901: In a survey, 30 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $32 and standard deviation of $7. Construct a confidence interval at a 95% confidence level.
Give your answers to one decimal place.
Click here to see answer by Boreal(15235)

Question 1177906: The accuracy of an automatic pitching machine is based on the off-line distance that a pitch is from a target at a distance of 30m. The off-line distance is distributed normally with a mean of 0.0m and a standard deviation of 0.05m. A machine will not meet safety standards and will be rejected if its off-line distance is greater than 0.15m. Determine what percentage of machines will be rejected.
Thank you so much
Click here to see answer by Boreal(15235)

Question 1177882: The amount of time spent by adults playing sports per day is normally distributed with a mean 4 hours and standard deviation of 1.25 hours.
1. Find the probability that a randomly selected adult plays sports between 5 and 5.5 hours per day.
2.Find the third quartile of the distribution of time an adult spend in playing sports.
3.Find the probability that if four adults are randomly selected, their average number of hours spent playing sports is more than 5 hours per day
Click here to see answer by Boreal(15235)

Question 1177911: Describe the normal distribution in terms of z-score and the probability of an outcome based on its z-score.
Click here to see answer by Boreal(15235)

Question 1177875: A credit card watchdog group claims that there is a difference in the mean credit card debts of households in California and Illinois. The results of a random survey of 900 households from each state are shown below. The two samples are independent. Assume that σ1=$3545 for California and σ2=$2119 for Illinois. Do the results support the group's claim? Use α=0.01.

California = 13254
n= 900
Illinois = 16866
n=900

Click here to see answer by Boreal(15235)

Question 1177876: A survey indicates that the mean annual wages for forensic science technicians working for local and state governments are $155,950 and $131,100, respectively. The survey includes a randomly selected sample of size 342 from each government branch. Assume that the population standard deviations are $11200 (local) and $9575 (state). The two samples are independent. At α=0.10, is there enough evidence to conclude that there is a difference in the mean annual wages?
Click here to see answer by Boreal(15235)

Question 1177917: Determine whether the table represents a discrete probability distribution. If not, explain why not.

x p(x)
30 0.2
40 0.2
50 0.2
60 0.2
70 0.2
Click here to see answer by ikleyn(52752)

Question 1177916: Coronary bypass surgery: The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in a recent year were over the age of 65. Fifteen coronary bypass patients are sampled.

What is the mean number of people over the age of 65 in a sample of 15 coronary bypass patients?
Click here to see answer by ikleyn(52752)

Question 1177910: Describe what a z-score is in terms of the sample mean and sample standard deviation.
Click here to see answer by amarjeeth123(569)

Question 1177922: A survey is conducted and shows a 66% approval rating with a margin of error of ± 2.5% based on a chosen confidence level of 99%. determine the approximate number of people that were surveyed
Click here to see answer by ewatrrr(24785)

Question 1177899: A local bank has determined that the daily balances of the checking accounts of its cut tomers are normally distributed with an average of $280 and a standard deviation of $20. What percentage of lances of more a. than $275? "What percentage of its customers has daily balances of less than $243? ices is between What percentage of its customers' $241 and $301.60?
Click here to see answer by ewatrrr(24785)

Question 1177945: Alan packed his orange, white, red, violet, and yellow shirts. Also his brown, black, and blue shorts for a three-day vacation. How many outfits (shirts and shorts) can he wear?
Our topic is permutations. I have a hard time answering this question :( It would mean a lot if you could help me so I can understand it. Thank you!
Click here to see answer by ikleyn(52752)

Question 1177946: Replacement times for TV sets has a mean of 8.2 years and a standard deviation of 1.1 years.

a. What is the probability that a randomly selected TV set will have replacement time in less than 8 years? Give your answer to four decimal places.
Answer = Answer

b. What is the probability that 40 randomly selected TV sets will have a mean replacement time that is less than 8 years? Give your answer to four decimal places.
Answer = Answer
Click here to see answer by ewatrrr(24785)

Question 1177941: You measure 22 textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 12.9 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
Click here to see answer by ewatrrr(24785)

Question 1177958:
Click here to see answer by josgarithmetic(39613)

Question 1177964: A new computer virus can enter the system through e-mail or through the internet. There
is a 30% chance of receiving this virus through e-mail. There is a 40% chance of
receiving it through the internet. Also, the virus enters the system simultaneously
through e-mail and the internet with probability 0.15. What is the probability that the
virus does not enter the system at all?

Click here to see answer by ikleyn(52752)

Question 1177957: In a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $30 and standard deviation of $10. Construct a confidence interval at a 95% confidence level.
Give your answers to one decimal place.
Click here to see answer by Boreal(15235)

Question 1177979: A random box contains tags marked 1; 2; …; n. Two tags are chosen at random with replacement. Find
the probability that the numbers on the tags will be consecutive integers.
Click here to see answer by ikleyn(52752)

Question 1177992: CNNBC recently reported that the mean annual cost of auto insurance is 1002 dollars. Assume the standard deviation is 278 dollars. You take a simple random sample of 76 auto insurance policies.
Find the probability that a single randomly selected value is less than 981 dollars.
P(X < 981) =

Find the probability that a sample of size
n
=
76
is randomly selected with a mean less than 981 dollars.
P(M < 981) =

Enter your answers as numbers accurate to 4 decimal places.

Click here to see answer by Boreal(15235)

Question 1178006: using all digits from 0 to 9, allowing for repetition, how many 3 digit numbers are possible that contain at least one 5?
Click here to see answer by ikleyn(52752)

Question 1178006: using all digits from 0 to 9, allowing for repetition, how many 3 digit numbers are possible that contain at least one 5?
Click here to see answer by greenestamps(13195)

Question 1177993: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 4.5 inches. Using the empirical rule, determine the interval of heights that represents the middle 68% of male heights from this school.
Click here to see answer by Theo(13342)

Question 1178022: I'm working on this problem:
The lifetime of a certain car battery is reported to be 154 weeks with a standard deviation of 8 weeks and is normally distributed. If the company offers a 3-year guarantee, compute the percentage of batteries that will be returned for refund for this battery (52 weeks = 1 year).
I don't think I did it correctly at all.... do I calculate the P(z<156-154/(8/100^.5)?
Please help. I think I just need a nudge in the right direction.
Click here to see answer by Theo(13342)

Question 1177650: 1- The real estate company of Kuhlman and Associates has five sales people. Listed below is the number of homes sold last month by each of the five associates. Bruce Kuhlman, the owner, wants to estimate the
population mean number of homes sold based on samples of three.
Associate Number of Homes Sold
A. Sue Klaus 6
B. John Bardo 2
C. Jean Cannon 5
D. A.J.. Kemper 9
E. Carol Ford 3
a. If samples of size 3 are selected, how many different samples are possible?

Click here to see answer by Solver92311(821)

Question 1178052: Four players each are dealt one card. In how many ways could the cards all be
clubs or honor cards (10, J, Q, K, A)?
Click here to see answer by Edwin McCravy(20054)

Question 1178056: A recent study has shown that a new treatment cures a certain disease 66% of the time. If this percentage is correct, what is the probability that, in a random sample of patients undergoing this treatment, exactly 3 are cured?
Round your answer to three decimal places.
Click here to see answer by greenestamps(13195)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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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