Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1182617: . Consider the following data for Alzheimer disease prevelance in a certain community among elderly.
> Alzheimer=data.frame(
+ AgeClass=c("65-69","70-74","75-79","80-84","85+"),
+ Males=c(1.6,0.0,4.9,8.6,35.0),
+ Females=c(0.0,2.2,2.3,7.8,27.9),
+ row.names="AgeClass"
+ )
Find the probability that among two randomly selected women one having age between 70 and 74 while the other more than 85 and three men with age between 65 and 69 none will have Azheimer disease. We assume that individuals are selected independently from each age category as indicated.
2. What is the probability that at least one of the women has the disease?
3. What is the probability that at least one of the men has the disease?
What is the probability that at least one of the five has the disease?
5. What is the probability that exactly one person out the five has the disease?
6. If we know that exactly one person has the disease, what is the probability that this is not a woman?
7. If we know that three persons have the disease, what is the probability that all are men?
Click here to see answer by CPhill(1959)   |
Question 1182322: An officer in charge of a large fleet of trucks is trying to calculate her expenditure for the next year's operations. A major cost of her fuel purchases. To estimate fuel purchases, the officer needs to know the overall distance the trucks will travel next year, the cost of a gallon of fuel, and the fuel mileage of the trucks.The officer has been given the first two figures (distance estimate and cost of a gallon of fuel). However, because of the increase in cost of a gasoline, the officer has recently converted the trucks to operate on propane. She has measured and recorded the propane mileage (in miles per gallon) for the trucks.
1. What will be the population of interest?
2. What parameter does the officer need?
3. What is the Sample?
4. Determine the statistics?
5. Describe in brevity, how the statistics will produce the kind of information the officer want.
Click here to see answer by CPhill(1959) |
Question 1182194: Q.1 Global financial institution transfers a large data file every evening form offices around the world to its London headquarters. Once the file is received, it must be cleaned and partitioned before being stored in the company’s data warehouse. Each file is the same size and the time required to transfer, clean, and partition a file is normally distributed, with a mean of 1.5 hours and a standard deviation of 15 minutes.
a. if one file is selected at random, what is the probability that it will take longer than 1 hour and 55 minutes to transfer, clean, and partition the file?
b. If a manager must be present until 85% of the files are transferred, cleaned, and partitioned, how long will the manager need to be there?
c. What percentage of the data files will take between 63 minutes and 110 minutes to be transferred, cleaned, and partitioned?
Click here to see answer by CPhill(1959) |
Question 1182185: One hundred people are included in a study in which they are compared to a known population that has a mean of 73, a standard deviation of 20, and a rectangular distribution.
a. μM = __________.
b. σM = __________. **This answer is NOT 20!
c. The shape of the comparison distribution is __________. **This answer is NOT rectangular!
d. If the sample mean is 75, the lower limit for the 99% confidence interval is __________.
e. If the sample mean is 75, the upper limit for the 99% confidence interval is __________.
f. If the sample mean is 75, the lower limit for the 95% confidence interval is __________.
g. If the sample mean is 75, the upper limit for the 95% confidence interval is __________.
Click here to see answer by CPhill(1959) |
Question 1182183: The length of time in hours before a mobile requires charging has a normal distribution with a mean of
100 hours and a standard deviation of 15 hours.
a) Find the probability that the time before charging is greater than 127 hours.
b) Find the 10th percentile
c) You are about to go on a 6 hour trip. Given you last charged your phone 127 hours ago, what is
the probability your mobile will not need charging until you complete the trip?
Click here to see answer by CPhill(1959) |
Question 1182170: The final grades of students in Foreign Language are normally distributed. records show that the average grade of students is 85 with the standard deviation of 2.3; suppose the professor wants to convert the grades of the students into an alpha-grade; A as the highest and D as the lowest grades, and DECIDES to assign: 10% A's, 20% B's, 30% C's, and 40% D's. What shall be the cut-off grades of these grade ranges?
Click here to see answer by CPhill(1959) |
Question 1182062: An officer in charge of a large fleet of trucks is trying to calculate her expenditure for the next year's operations.A major cost of her fuel purchases. To estimate fuel purchases, the officer needs to know the overall distance the trucks will travel next year, the cost of all gallon of fuel, and the fuel mileage of trucks. The officer has been given the first two figures(distance estimate and cost of a gallon of fuel) However, because of the increase in cost of a gasoline, the officer has recently converted the trucks to operate on propane. She has measured and recorded the propane mileage(in miles per gallon) for the trucks.
1.what will be the population of interest?
2. What parameter does the officer need?
3. What is the sample?
4. Determine the statistics?
5. Describe in brevity, how the statistics will produce the kind of information the officer want
Click here to see answer by CPhill(1959) |
Question 1182061: Determine the dependent and independent variables from these cases
1. An experimenter experiments on the effect of a drug on tuberculosis.
2.A scientist studies the effect of withholding affection on cockroaches
3. A researcher studies how many day's people can eat bread until the fall ill
Click here to see answer by CPhill(1959) |
Question 1182060: You are shown a coin in which the officer says is fair in the sense that it will produce the same number of heads and tails when flipped a very large number of times. In the light of the above statement answer the following questions:
1.briefly describe an experiment to determine this claim
2.what will the population be in your experiment
3.determine the sample?
Click here to see answer by CPhill(1959) |
Question 1181735: The average diameter of 100 sand dollars that make up a collection is 3.50 centimeters with a standard deviation of 0.80 centimeters. If 25 sand dollars are chosen at random from the collection without replacement, find the probability that the average diameter of those sand dollars is less than 3.45 centimeters. Assume that the variable is normally distributed. Adjust for "without replacement."
Group of answer choices
0.6154
0.8200
0.3257
0.3598
Click here to see answer by CPhill(1959) |
Question 1181707: The number of students in the tutoring center was recorded for 42 randomly selected times.
0-2 15
3-5 8
6-8 10
9-11 9
12-14 0
What is the class width for this frequency Distribution Table?
class width=
Click here to see answer by CPhill(1959) |
Question 1181706: Data was collected for 300 fish in the North Atlantic.
The length of the fish (in mm)is summarized in the GFDT below.
Lengths (mm) Frequency
80-89 1
90-99 16
100-109 71
110-119 108
120-129 83
130-139 18
140-149 3
What is the class boundary between the third and fourth classes?
class boundary=
Click here to see answer by CPhill(1959) |
Question 1181661: To test the hypothesis that a coin is fair, the following decision rules are adopted: (1) Accept
the hypothesis if the number of heads in a single sample of 100 tosses is between 40 and 60
inclusive, (2) reject the hypothesis otherwise.
a. Find the probability of rejecting the hypothesis when it is actually correct.
b. Interpret graphically the decision rule and the result of part (a).
c. What conclusions would you draw if the sample of 100 tosses yielded 53 heads? 60
heads
Click here to see answer by CPhill(1959) |
Question 1181630: A distribution of values is normal with a mean of 49.7 and a standard deviation of 25.
Find P70, which is the score separating the bottom 70% from the top 30%.
P70 =
Enter your answer as a number accurate to 4 decimal places.
Click here to see answer by CPhill(1959) |
Question 1181620: One manufacturer claims that the average tensile strength of yarn A is less than the average tensile strength of yarn B by less than 12 kilograms.
To prove this claim, 50 pieces of type A yarn and 45 pieces of type B yarn were tested under similar conditions.
Type A yarn had an average tensile strength of 86.7 kilograms; while type B yarn had an average tensile strength of 77.8 kilograms.
Test the manufacturer's claim using a significance level of 0.005 knowing that, from previous studies, type A yarn has a standard deviation of 6.28 kilograms while type B yarn has a standard deviation of 5.61 kilograms.
a)Solution:
b)Parameter under study:
c)Planteamiento de hipótesis:
d)Nivel de significancia
e)Statistical:
f)Rejection region:
g)Decision making:
h)Conclution:
Click here to see answer by CPhill(1959) |
Question 1181564: 2. A simple random sample is taken from a left-skewed population. Choose the one statement that
is true.
a. We can never ensure that the distribution of the sample mean is normal or
approximately normal.
b. If the sample mean equals the population mean, then the distribution of the sample
mean must be normal or approximately normal.
c. We can be certain that the sample mean is normal or approximately normal only if the
sample size is greater than 30.
d. For any sample size, the distribution of the sample mean is normal or approximately normal
Click here to see answer by CPhill(1959) |
Question 1181553: A company buys 20% of its electronic chips from supplier New and the rests from other suppliers. Assume that the company purchases a large number of chips from each supplier.
It is known that 1/10 (one tenth) of supplier New’s chips are defective while the other suppliers have only 1/50 (one fiftieth) chips defective. The company selects 20 chips at random from a batch and tests them. One chip is found to be defective.
What is the probability that this batch of chips came from supplier New?
Click here to see answer by CPhill(1959) |
Question 1181519: A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 18 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18 weeks and that the population standard deviation is 3.2 weeks. Suppose you would like to select a random sample of 73 unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 17.6.
P(X > 17.6) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size n = 73 is randomly selected with a mean greater than 17.6.
P(M > 17.6) =
(Enter your answers as numbers accurate to 4 decimal places.)
Click here to see answer by CPhill(1959) |
Question 1181511: Dennis and Christine scored 32 and 23, respectively, in the National Career Assessment Examination (NCAE). The determining factor for a college scholarship is that a student's score should be in top 10% of the scores of his/her graduating class. The students in the graduating class obtained the following scores in the NCAE
Suppose that the given data is written in table
NCAE Scores f(frequency) LB
39-41 6
36-38 7
33-35 9
30-32 13
27-29 22
24-26 10
21-23 9
18-20 7
15-17 8
12-14 4
9-11 2
6-8 1
3-5 1
Question
1. Complete the table by filling the LB or the lower boundaries and
2. Find the 3rd quartile, 72nd percentile and the 8th decile of the set of data
3. What is the percentile rank of Dennis and Christine
Click here to see answer by CPhill(1959) |
Question 1181470: A distribution of values is normal with a mean of 199.9 and a standard deviation of 82.
Find P57, which is the score separating the bottom 57% from the top 43%.
P57 = ______
Enter your answer as a number accurate to 4 decimal places.
Click here to see answer by CPhill(1959) |
Question 1181469: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5 days and standard deviation of 1.5 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) What is the probability of spending less than 9 days in recovery?
_______%
b) What is the probability of spending more than 6 days in recovery?
_______%
c) What is the probability of spending between 6 days and 9 days in recovery?
_______%
Click here to see answer by CPhill(1959) |
Question 1181462: Due to the sharp increase in the prices of urban properties over the last five years, only a small percentage of new city dwellers can afford to buy their own property. According to a recent survey, only 22% of these new city dwellers can afford to buy their own property. An estate agency who wanted to verify this, considered a random sample of 200 recent city dwellers, and found that only 38 of them bought their property in town. Test at the 5% significance level whether the percentage has changed.
State the alternative hypothesis
Click here to see answer by CPhill(1959) |
Question 1181440: Sketch the normal curve the critical value and write if it is in the REJECTION or ACCEPTANCE REGION.
1. critical value of 1.25 and computed value of 2.18
2. critical value of 2.25 and computed value of 2.18
3. critical value of -1.05 and computed value of -2.18
4. critical value of 2.75 and computed value of 3.28
5. critical value of -2.75 and computed value of -1.28
Click here to see answer by CPhill(1959) |
Question 1180562: According to a report by Scarborough Research, the monthly average cell phone bill is $73.55. Suppose local monthly household cell phone bills are normally distributed with a standard deviation of $11.30. Between what monthly costs do 95% of households fall according to this report?
Click here to see answer by ikleyn(52756)  |
Question 1181427: Drug A was prescribed for a random sample of 12 patients complaining of insomnia. An independent random sample of 16 patients with the same complaint received drug B.The number of hours of sleep experienced during the second night after treatment began were as follows:
A: 3.5, 5.7, 3.4, 6.9, 17.8, 3.8, 3.0, 6.4, 6.8, 3.6, 6.9, 5.7
B: 4.5, 11.7, 10.8, 4.5, 6.3, 3.8, 6.2, 6.6, 7.1, 6.4, 4.5, 5.1, 3.2, 4.7, 4.5, 3.0
Construct a 95 percent confidence interval for the difference between the population means. Assume that the population variances are equal.
Click here to see answer by CPhill(1959) |
Question 1181389: At the Foremost State Bank the average savings account balance in 2012 was $1100. A random sample of 38 savings account balanes for 2013 yielded a mean of $1800 with a standard deviation of $2800. At the α = 0.10 significance level test the claim that the mean savings account balance in 2013 is different from the mean savings account balance in 2012.
(a) Identify the correct alternative hypothesis.
μ _____ $1100
(b) The test statistic value is __________. (Round your answer to two decimal places.)
(c) Using the critical value approach (traditional method), the critical value is ____________ . (Round your answer to three decimal places.)
(d) Based on your answers above, do you
Reject the H^0
Fail to reject the H^0
(e) Explain your decision about the claim.
Click here to see answer by CPhill(1959) |
Question 1181388: The mean weight of 15 randomly selected newborn babies at a local hospital is 7.46 lbs and the standard deviation is 0.2 lbs. Assume the weight of newborn babies has approximately normal distribution.
(a) Find the margin of error for the 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.)
(b) Use information from part (a) to fill in the banks in the following sentence:
______% of all samples of size ______ have sample means within ________ lbs of the population mean.
(c) Find a 95% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.)
_______ lbs < μ < ________ lbs
(d) If you increase the confidence level ( 1−α ), will the confidence interval estimate be wider or narrower? Explain.
Click here to see answer by CPhill(1959) |
Question 1181382: Refer to the technology output given to the right that results from measured hemoglobin levels (g/dL) in 100 randomly selected adult females.
The confidence level of 95% was used.
a. Express the confidence interval in the format that uses the "less than" symbol. Assume that the original listed data use two decimal places,
and round the confidence interval limits accordingly.
b. Identify the best point estimate of μ and the margin of error.
c. In constructing the confidence interval estimate of μ,
why is it not necessary to confirm that the sample data appear to be from a population with a normal distribution?
TInterval
(12.800,13.318)
x=13.059
Sx=1.307
n=100
Click here to see answer by CPhill(1959) |
Question 1209735: 69% of all Americans are home owners. If 37 Americans are randomly selected, find the probability that
a. Exactly 27 of them are are home owners.
b. At most 27 of them are are home owners.
c. At least 23 of them are home owners.
d. Between 23 and 28 (including 23 and 28) of them are home owners.
Click here to see answer by CPhill(1959) |
Question 1209734: 84% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 50 owned dogs are randomly selected, find the probability that
a. Exactly 44 of them are spayed or neutered.
b. At most 43 of them are spayed or neutered.
c. At least 43 of them are spayed or neutered.
d. Between 37 and 41 (including 37 and 41) of them are spayed or neutered.
Click here to see answer by CPhill(1959) |
Question 1209733: 60% of all violent felons in the prison system are repeat offenders. If 45 violent felons are randomly selected, find the probability that
a. Exactly 26 of them are repeat offenders.
b. At most 29 of them are repeat offenders.
c. At least 29 of them are repeat offenders.
d. Between 25 and 33 (including 25 and 33) of them are repeat offenders.
Click here to see answer by CPhill(1959) |
Question 1181381: A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 99% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi?
0.51
0.71
0.10
0.90
1.34
0.53
0.94
What is the confidence interval estimate of the population mean μ?
nothing ppm<μ< nothing ppm
Click here to see answer by CPhill(1959) |
Question 1181367: - Solve for the t - computed and determine the t - tabular
A course in mathematics is taught to 15 students by explicit method. Another
group of 17 students was given the same course by means of another method. At the
end of the semester, the same test was administered to each group. The 15 students
under method A made an average of 85 with a standard deviation of 4, while the 17
students under method B made an average of 81 with a standard deviation of 5. Test
the null hypothesis of no significant difference in the performance of the two groups of
students at 5% level of significance.
Solution:
1. H0:
H1:
2. Level of Significance:
3.Test:
4. Critical Region:
5. Solution:
6. Decision:
7. Conclusion:
Click here to see answer by CPhill(1959) |
Question 1181362: In a previous poll, 29% of adult Americans with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 318 of 1157 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α = 0.10 level of significance.
[Remember, you should include your H0 , H1 , your p-value, and a conclusion statement explaining whether you accept or reject the claim.]
Click here to see answer by CPhill(1959) |
Question 1181350: In 2001, the mean household expenditure for energy was $1493, according to a survey. An economist wanted to know whether this amount has changed significantly from its 2001 level. In a random sample of 35 households, he found the mean expenditure (in 2001 dollars) for energy during the most recent year to be $1618, with a standard deviation $321. Is there evidence to conclude that the mean household expenditure for energy has increased since 2001? Use the α = 0.01 level of significance.
Click here to see answer by CPhill(1959) |
Question 1181349: According to a study conducted, 48.9% of males aged 20 to 39 years consume the recommended daily requirement of calcium. After an aggressive marketing campaign, a separate survey was conducted and they found that 21 of 35 randomly selected males aged 20 to 39 of them consume the recommended daily requirement of calcium. At the α = 0.10 level of significance, is there evidence to conclude that the percentage of males aged 20 to 39 who consume the recommended daily requirement of calcium has increased?
Click here to see answer by CPhill(1959) |
Question 1181347: According to a survey, the typical American spends 154.8 minutes (2.58 hours) per day watching television. A survey of 50 Internet users results in a mean time watching television per day of 128.7 minutes per day with a standard deviation of 46.5 minutes. Conduct the appropriate test to determine if Internet users spend less time watching television than the average American at α = 0.05 level of significance.
[Remember, you should include your H0 , H1 , your p-value, and a conclusion statement explaining whether you accept or reject the claim.]
Click here to see answer by CPhill(1959) |
Question 1181346: In a previous poll, 29% of adult Americans with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 318 of 1157 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α = 0.10 level of significance.
[Remember, you should include your H0 , H1 , your p-value, and a conclusion statement explaining whether you accept or reject the claim.]
Click here to see answer by CPhill(1959) |
Question 1181344: The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers.
52 30 44 35 39 26
47 37 56 26 39 28
Note: a normal probability plot suggests that the data could come from a population that is normally distributed. A boxplot indicates there are no outliers.
a) (15 points) Construct a 99% confidence interval for the mean age at which a baby first crawls.
b) (Explain what the confidence interval you constructed means.
Click here to see answer by CPhill(1959) |
Question 1181343: In a study of 1003 community college students, 521 indicated that they believe television is a luxury that they can live without.
a) (15 points) Construct a 95% confidence interval for the population proportion of community college students who believe television is a luxury that they can live without.
b) (5 points) Explain what the confidence interval you constructed means.
Click here to see answer by CPhill(1959) |
Question 1181224: A shoe store´s records show that 30% of the customers purchase by credit cards. This is 20 customers purchased shoes from the store.
a) Find the probability that at most 3 of the customers used a credit card.
b) What is the probability that at least 3 customers but not more than 6 used a credit card?
c) What is the expected number of customers to use credit cards?
Click here to see answer by CPhill(1959) |
Question 1181114: (a) An advertising company wants to estimate with 98% confidence interval, the number of times a website is hit during an hour. It is determined that = 26. How large a sample should the company take, if it wishes that the margin of error should not exceed 10? [04]
(b) If we take a sample from an infinite population, what will happen to the standard error of the mean when the sample size is increased from 60 to 240?
Click here to see answer by CPhill(1959) |
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