Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 185452: Can someone please help me solve this and explain why? Thank you
The lifetime of a certain brand of battery is known to have a standard deviation of 10.5 hours. Suppose that a random sample of 120 such batteries has a mean lifetime of 40.9 hours. Based on this sample, find a 95% confidence interval for the true mean lifetime of all batteries of this brand.
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Question 185521: can someone please help me solve this? thanks
At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.
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Question 185520: can someone please help me solve this? thanks
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event a : The sum is greater than .
Event b : The sum is not divisible by and not divisible by .
Write answers as exact fractions
p(a)= ?
p (b)=?
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Question 185519: can someone please help me solve this? thanks
A pizza parlor has a choice of 13 toppings for its pizzas. From these 13 toppings, how many different 4-topping pizzas can be ordered? Assume that the order in which the toppings are listed does not matter.
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Question 185517: can someone please help me solve this? thanks
Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.3 ppm and a standard deviation of 6 ppm. The Environmental Protection Agency takes a random sample of of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated.
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 185518: can someone please help me solve this. thanks
From a group of 18 customers,5 are to be chosen to receive a special gift. Assuming that the order in which the customers are chosen is irrelevant, how many groups of 5 customers can be chosen?
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Question 185518: can someone please help me solve this. thanks
From a group of 18 customers,5 are to be chosen to receive a special gift. Assuming that the order in which the customers are chosen is irrelevant, how many groups of 5 customers can be chosen?
Click here to see answer by Alan3354(69443)  |
Question 185516: can someone please help me solve this? thanks
An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 570 and a standard deviation of 120. The individuals who exceed 800 on this test are considered to be potential leaders. What proportion of the population are considered to be potential leaders? Round your answer to at least four decimal places.
Click here to see answer by stanbon(75887) |
Question 185515: can someone please help me solve this? thank you
Suppose that the heights of adult women in the United States are normally distributed with a mean of 64 inches and a standard deviation of 2.2 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
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Question 185510: can someone please help me solve this? thank you
The unemployment rate in a city is %. Find the probability that more than out of people from this city sampled at random are unemployed. Round your answer to four decimal places.
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Question 185509: can someone please help me solve this? thank you
A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all of the households in her city being monitored by the TV industry would tune in to the new show? Assume that the households constitute a random sample of American households.
Round your response to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 185508: can someone please help me solve this? thank you
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of cards (which is made up of hearts, spades, diamonds, and clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of cards and gotten her suit guesses for each.
Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card.
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Click here to see answer by stanbon(75887) |
Question 185505: can someone please help me with this? Thank you
Suppose that a researcher is interested in estimating the mean systolic blood pressure, , of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate . Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is mm Hg, what is the minimum sample size needed for the researcher to be confident that his estimate is within mm Hg of ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Click here to see answer by stanbon(75887) |
Question 185504: can someone please help me answer this? thank you
The standard deviation of test scores on a certain achievement test is . A random sample of scores on this test had a mean of . Based on this sample, find a confidence interval for the true mean of all scores. Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
what is the lower and upper limit of the 90% confidence interval?
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Question 185674: Can someone please help me solve this? thank you so much
Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, u. The managers plan to choose a random sample of completion times and estimate u via the sample. Assuming that the standard deviation of the population of completion times is 12.3 minutes, what is the minimum sample size needed for the managers to be 95% confident that their estimate is within 1.5 minutes of u?
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Question 185672: Can someone please help me solve this? Thank you so much.
The owner of Britton’s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.25 eggs per month.
a. What is the best estimate of the population mean?
b. For a 99 percent confidence interval, what is the value of t?
c. Develop the 99 percent confidence interval for the population mean.
Please identify the lower and upper confidence boundaries.
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Question 185747: can someone please help me solve this? thank you so much.
An insurance company is trying to determine, using the 95% confidence level, what proportion of teenagers have an accident. Using a sample of 582 accidents, the company discovers that teenagers were involved in 91 accidents. What is confidence interval for this proportion?
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Question 185745: can someone please help me solve this? thank you so much.
An insurance company is trying to determine, using the 95% confidence level, what proportion of teenagers have an accident. Using a sample of 582 accidents, the company discovers that teenagers were involved in 91 accidents. What is confidence interval for this proportion?
Click here to see answer by stanbon(75887) |
Question 185788: 22.) The probability that it snows and the bus arrives late is 0.023. Jose hears the weather forecast, and there is a 40% chance of snow tomorrow. Find the probability that the bus will be late, given that it snows.
Please, help me with this problem. Thanks!
Click here to see answer by edjones(8007)  |
Question 185792: 34.) A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense accounts. If a person selects one of each option, how many different options does he or whe have?
Please help with this problem. Thanks!
Click here to see answer by vleith(2983) |
Question 185796: 22.) One out of four Americans over age 55 has eaten pizza for breakfast. If a sample of 10 Americans over age 55 is selected at random, find the probability that at most 3 have eaten pizza for breakfast.
Thanks!
Click here to see answer by stanbon(75887) |
Question 185795: 16.) If 10% of the people who are given a certain drug experience dizziness, find these probabilities for a sample of 15 people who take the drug.
a. At least two people will become dizzy.
b. Exactly three people will become dizzy.
c. At most four people will become dizzy.
Thanks!
Click here to see answer by stanbon(75887) |
Question 185842: Can you please help thank you
1 If a court acquits every defendant, they will never commit a Type I error.
A)
True
B)
False
2 The probability of rejecting a true null hypothesis increases as the sample size increases.
A)
True
B)
False
3 For a given level of significance, the critical value of Student's t increases as n increases.
A)
True
B)
False
4 In a two-tailed hypothesis test with α = .05, a test statistic of t = 1.813 with d.f. = 15 leads one to reject the null hypothesis of a statistical test.
A)
True
B)
False
5 The power of a test is the probability that the test will reject a false null hypothesis.
A)
True
B)
False
6 The height of the power curve shows the probability of accepting a true null hypothesis
A)
True
B)
False
7 Which is not true of p-values?
A)
When they are small, we want to reject Ho.
B)
They must be specified before the sample is taken.
C)
They show the chance of Type I error if we reject Ho.
D)
They do not require α to be specified a priori.
Use the following scenario to answer questions 8 to 10.
Dullco Manufacturing claims that its alkaline batteries last forty hours on average in a certain type of portable CD player. Tests on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.
8 The test statistic is
A)
-1.980
B)
-1.728
C)
-2.101
D)
-1.960
9 In determining the p-value for reporting the study's findings, which of the following is true?
A)
The p-value is less than .05.
B)
The p-value is equal to .05.
C)
The p-value is greater than .05.
D)
The p-value cannot be determined without specifying α.
10 In a left-tailed test at α = .05 we would
A)
comfortably reject the claim.
B)
comfortably accept the claim.
C)
feel uncomfortable with either decision (too close).
D)
switch to alpha of 0.01 for a more powerful test.
Click here to see answer by stanbon(75887) |
Question 185819: Please I am new to statistic and i need help with the questions below can you please help me. the questions is
A 20- minute consumer survey mailed to 500 adults aged 25-34 included a $5 Starbucks gift certificate. The same survey was mailed to 500 adults aged 25-34 without the gift certificate. There were 65 responses from the first group and 45 from the second group. (a) Perform a two-tailed test comparing the responses rates (proportions) at a=.05. (b) from a confidence interval for the difference of proportions, without pooling the samples. Does it include zero?
Are woman’s feet getting bigger? Retailers in the last 20 years have had to increase their stock of larger sizes. Wal-Mart Stores, Inc., and Payless Shoe Source, Inc., have been aggressive in stocking larger sizes, and Nordstrom’s reports that its larger sizes typically sell out first, assuming equal variances, at a=.025, do these random shoe size samples of 12 randomly chosen women in each age group show that women’s shoe sizes have increase? (See The Wall Street Journal, July 17, 2004.) Shoe Size
Born in 1980: 8 7.5 8.5 8.5 8 7.5 9.5 7.5 8 8 8.5 9
Born in 1960: 8.5 7.5 8 8 7.5 7.5 7.5 8 7 8 7 8
Block buster is testing a new policy of waiving all late fees on DVD rentals using a sample of 10 randomly chosen customers. (a) At a= .10, does the data show that the mean number of monthly rentals has increased? (b) is the decision close? (C Are you convinced?
Customer
Customer No Late Fee Late Fee
1 14 10
2 12 7
3 14 10
4 13 13
5 10 9
6 13 14
7 12 12
8 10 7
9 13 13
10 13 9
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Question 185977: Rewa asked 150 randomly chosen students what programmes they had watched the previous night
on television. Shortland Street was watched by 90 students, 50 students had watched NZ Idol, and
30 had watched both.
What is the probability that a randomly chosen student had watched neither Shortland Street nor
NZ Idol the previous night?
Click here to see answer by stanbon(75887) |
Question 185999: This is a college stats problem-
In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:
a) exactly 2 will have this mild side effect
I can't figure this part out- 11/9*2???
b) at least 1 will have this mild side effect
1 - (0.95^11) = 0.4312
Thanks
Click here to see answer by stanbon(75887) |
Question 185970: use the "68-95-99.7 rule" to estimate the area lying between values x=1,100 and x=2,600 under the normal curve that has mean 2,100 and standard deviation 500. Use the "Rule" and solve not using a calculator.
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Question 185968: you trace a frequency histogram of a distribution of x-values onto a uniformly thick sheet of plastic and cut it out. Which statements A,B,C, or D is true?
A. statements 1 and 3 are correct
b. statements 1 and 4 are correct
c. statements 2 and 3 are correct
d. statements 2 and 4 are correct
1. if the data are right-skewed, the median will be located to the right of the mean
2. if the data are right-skewed, the mean will be located to the right of the median
3. the median is the value of x at which the histogram balances, and the mean is the value of x that is larger than (or equal to) half of the x-values.
4. the mean is the value of x at which the histogram balances, and the median is the value of x that is larger than (or equal to) half of the x-values.
Click here to see answer by stanbon(75887) |
Question 186034: More on Predicted Probabilities
14.A version of Intro the Pound uses a number cube. Then, spin the spinner. Multiply.
a)What are the possible products when you multiply the results of the spinner and the number cube?
b)What is the predicted probability ogf getting each product?
Can anyone please help me at this question reallyyyyyy really dont get this question....thank you veryyyyyyyyy much
Click here to see answer by solver91311(24713)  |
Question 186049: Mr. Alim's science class launched a toy rocket from ground level with an initial upward velociy of 60 feet per second. The height h of the rocket in feet above the ground after t seconds is modeled by the equation h=60t-(16t)(16t). How long was the rocket in the air before it returned to the ground?
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Question 186032: More on predicted Probablities
1.What is the probability of tossing twoheads if you use two pennies?
Is the probability of tossing two heads the same or different if you use a quarter and a dime? Explain.
Can you please help me..i dont understand it>?
thank you sooooooooooooooooooooooooo much
Click here to see answer by stanbon(75887) |
Question 186155: Can you please help me with solving the question below please
9.54
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.
9.56
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
9.62
The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = .025? (See story. news. yahoo. comaccessed June 25, 2004.)
9.64
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11. (a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision?
Click here to see answer by stanbon(75887) |
Question 186298: how do i solve this In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:
a) exactly two will have this mild side effect
b) at least one will have this mild side effect.
Click here to see answer by stanbon(75887) |
Question 186305: X has a normal distribution with a mean of 75.0 and a standard deviation of 2.5. Find the following probabilities:
a) P(x < 70.0) i did 70-75/2.5= -2 but dont know what's next
b) P(72.5 < x < 80.0) not sure
c) P(x >82.5) 75-82.5/2.5= -3 i use table to look for z
3=0.3821 p(z<-3)=0.3821
Click here to see answer by stanbon(75887) |
Question 186258: Hello, Iam having some trouble with my statistics homework, please I hope some one can help me.I have two questions:
: Confidence Intervals for the Mean (Small Samples)
1) An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 25 randomly selected eggs and found that the mean amount of cholesterol was 190 mg. The sample standard deviation was found to be s = 18.0 mg on this group. Assume that the population is normally distributed.
a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths.
b.Find a 95% confidence interval for the mean cholesterol content for all experimental eggs. Assume that the population is normally distributed.
Confidence Intervals for Population Proportions
2) The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 100 of these new bulbs is selected from the production line. It was found that 75 lasted more than 1000 hours. Find the point estimate for the population proportion, the margin of error for a 95% confidence interval and then construct to the 95% confidence interval for the population proportion p.
a. Find the margin of error E.
b.Construct a 95% confidence interval for the population proportion p of all Twinkle bulbs.
I would like to thank you in advance for all your help and using your time to help me.
Click here to see answer by stanbon(75887) |
Question 186197: Can some please help thank you
In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Click here to see answer by stanbon(75887) |
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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, 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