Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1171004: If the p-value for the Levene’s Test in an Oneway ANOVA equals .069, which of the following is the correct test to use for the MAIN hypothesis test?
a. Bonferroni
b. Games-Howell
c. Welch
d. ANOVA - F
I got B am I correct??
7. Which of the following is an appropriate notation for the Alternative/Research Hypothesis in an Oneway ANOVA?
a. H0 : µ1 = µ2
b. H0 : µD = 0
c. H0 : µ1 = µ2 = µ3
d. H1 : µ1 ≠ µ2 ≠ µ3
e. H1 : Not all means are equal
f. Both C & E
I got E am I correct??
8. Researchers are examining whether or not there are significant differences in sentence lengths (measured in months) across three types of offenders (property, violent, and drug offenders). To do this, they conduct a Single Factor Between Subjects ANOVA. One of the researchers notices that the p-value for the Levene’s test equals .032. Based on this information, can the researchers conclude there is a significant difference in sentence length across different offenses types?
a. Yes
b. No
I got A am Icorrect??
Click here to see answer by CPhill(1959)   |
Question 1170992: If the p-value for the Levene’s Test in an Oneway ANOVA equals .069, which of the following is the correct test to use for the MAIN hypothesis test?
a.Bonferroni
b.Games-Howell
c.Welch
d.ANOVA - F
I got B am I correct?
7.Which of the following is an appropriate notation for the Alternative/Research Hypothesis in an Oneway ANOVA?
a.H0 : µ1 = µ2
b.H0 : µD = 0
c.H0 : µ1 = µ2 = µ3
d.H1 : µ1 ≠ µ2 ≠ µ3
e.H1 : Not all means are equal
f.Both C & E
I got E am I correct?
Click here to see answer by CPhill(1959) |
Question 1170982: The front office of the Graduate School receives external telephone calls. Due to certain difficulties, it is only one person that is taking care of the Front Office. Ms. Alia Kobi, the receptionist wants to vacate her post for lunch between the hours of 2 and 3 pm. She knows that the average number of phone calls received on the switchboard is 2. However, what she does not know is the number of calls she will miss. You can help her to determine the probability that during that one particular hour
Click here to see answer by CPhill(1959) |
Question 1170936: At a certain university, students can choose one of 3 general areas of study. Twenty percent of the students are studying STEM, 45% are studying Social Sciences and the rest are studying Arts & Humanities. In addition, 15% of the STEM students and 40% of the Social Science students are involved in Greek life (in a sorority or fraternity). Only 35% of the Arts and Humanities students are NOT members of a sorority or fraternity. (***Similar to example 4***)What is the probability that a student?(A) studies Arts & Humanities? (B) studies STEM and is NOT involved in Greek life? (C) studies Arts & Humanities and is NOT involved in Greek life? (D) studies Social Sciences and is NOT involved in Greek life? (E) is involved in Greek life? (D) is not involved in Greek life?
Click here to see answer by CPhill(1959) |
Question 1170935: #3 3. It is estimated that 4% of people who spend time in the woods will get Lyme disease. For people with Lyme disease, the test to determine if you have it is will give a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating of 92% of the time. Make a tree diagram for this problem and then answer the following questions. Find the probability that A) a person gets a positive reading B) a person gets a negative reading C) a person gets a positive reading and they have Lyme disease D) a person gets a negative reading and they have Lyme disease E ) a person gets a negative reading and they don’t have Lyme diseasePositive
Click here to see answer by CPhill(1959) |
Question 1170934: 2. This problem is about a fast-food business. As it turns out, 60% of their business is via the drive-through window, and 40% is counter-service. Data from the registers reveal that 70% of the transactions at the drive-through are via credit/debit cards, while 80% of the transactions at the counter are via credit/debit cards. (The other transactions are via cash.) BWhat is the probability? A.that a random transaction uses cash? B.that a random transaction uses credit cards? C.that a transaction was a credit-card transaction and at the drive-through window? D.that a transaction was a cash transaction and was at the drive-through window? E.that a random transaction was at the counter? F.that a random transaction was at the drive-through window?
Click here to see answer by CPhill(1959) |
Question 1170932: Let Y = X^2 where X is U(a,b), 0<=a
Show that the pdf of Y is f(y) - 1/[2sqrt(y)(b-a)] for a^2<=y <= b^2.
I know to start I need x = sqrt(y) and to plug into the formula f(g(y))du/dy to find the pdf but I am struggling from there.
Click here to see answer by CPhill(1959) |
Question 1170930: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6 days and standard deviation of 1.7 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 6 days in recovery? %
b) What is the probability of spending more than 4 days in recovery? %
c) What is the probability of spending between 4 days and 6 days in recovery? %
Question Help Question 4: Video 1
Click here to see answer by CPhill(1959) |
Question 1170929: The annual rainfall in a certain region is approximately normally distributed with mean 42.7 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent.
a) What percentage of years will have an annual rainfall of less than 44 inches? %
b) What percentage of years will have an annual rainfall of more than 40 inches? %
c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?
Click here to see answer by CPhill(1959) |
Question 1170928: The weights of a certain dog breed are approximately normally distributed with a mean of 52 pounds, and a standard deviation of 6.6 pounds. 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) Find the percentage of dogs of this breed that weigh less than 52 pounds. %
b) Find the percentage of dogs of this breed that weigh less than 49 pounds. %
c) Find the percentage of dogs of this breed that weigh more than 49 pounds. %
Click here to see answer by CPhill(1959) |
Question 1170878: The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
games played is 4,5,6,7
actual contest is 16,21,20,37
expected proportion is 2/16,4/16,5/16,5/16
need to find x t the 2 power
rounded to the three decimal places as needed
Click here to see answer by CPhill(1959) |
Question 1170826: 2. Was the assumption of equal variances met for this Independent Samples T-test (yes or no)?
Independent Samples Test
Levene's Test for Equality of Variances t-test for Equality of Means
F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference
Lower Upper
Number Screen Changes / Stimulation per minute Equal variances assumed 1.865 .173 -2.357 382 .019 -1.29709 .55031 -2.37912 -.21507
Equal variances not assumed -2.360 381.587 .019 -1.29709 .54951 -2.37753 -.21666
I say yes am I correct?
Click here to see answer by CPhill(1959) |
Question 1170818: There are no equations given, I'm not sure where to start or how to prove this.
A company claims to have invented a device that can measure the momentum of objects inside it with extreme
accuracy. The device fits within a matchbox, and the claimed precision with which it can measure momentum is
δp = ±10^−26kg ms^−1
.
Explain why the claimed performance cannot possibly be accurate, and estimate the smallest possible size of a
device with such momentum precision, according to laws of quantum physics.
Click here to see answer by CPhill(1959) |
Question 1170788: A large nation wide chain of home improvement centres was having an end of season clearance of lawn mowers. the number of lawn mowers sold during this sale from a sample of 10 stores was as follows;
77;12;21;50;70;44;67;7;11;73
at the 0.05 level of significance, is there evidence that an average of more than 25 lawn mowers per store have been sold during this sale?
Click here to see answer by CPhill(1959) |
Question 1170777: You are given the sample mean and the sample standard deviation Assume the population is normally distributed and use the T distribution define margine of error and construct a 95% confidence interval for the population mean. Interpret the results.
1. In a random sample of 8 people, the main commute time to work was 35.5 minutes and the standard deviation was 7.2 minutes.
2. In a random sample of 13 microwaves, the main repair cost was $80.00 and the standard deviation was $13.50.
3. In a random sample of 7 computers, the repair cost was $110.00 and a standard division was $44.50
Click here to see answer by CPhill(1959) |
Question 1170771: ACT scores have a mean of 21.3 and 8 percent of the scores are above 27. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth
Click here to see answer by CPhill(1959) |
Question 1170727: 100,000 random people were tested for Condition A. Roberto's doctor told him he tested positive for Condition A. If the test is 99% accurate and Condition A is rare—one out of every thousand people have it.
What is the probability that testing positive means Roberto has Condition A?
A.99.0%
B.1%
C.9%
D.99.9%
Click here to see answer by CPhill(1959) |
Question 1170719: The salaries of the employees in a company follow the normal distribution with mean $16000 and standard deviation $800.
(a) What is the probability that the salary of an employee is higher than $18000?
(b) There is 80% chance that the salary of an employee is less than $t. Find the value of t.
(c) If 20 employees are randomly chosen from the company and the mean salary of the employees is calculated. The manager of the company claims that over 20% of the mean salaries of the employee are higher than $16200. Do you agree?
Click here to see answer by CPhill(1959) |
Question 1170718: It is known that the weights of apples from a farm are normally distributed. In order to estimate the mean weight, a random sample of 150 apples is considered and the sample mean and population standard deviation are 6 kg and 0.8 kg respectively.
(a) Construct a 95% confidence interval estimate for the population mean weight of apples.
(b) The researcher suggests doing the study again so that 98% confidence interval estimate for the population mean weight of apples is (5.8835,6.1165) kg. How large should the sample size be?
Click here to see answer by CPhill(1959) |
Question 1170714: The probability that a basketball player makes his free throws is 0.7. What is the probability that in his next 6 free throw attempts, he makes at least two? Assume independence of the free throw attempts.
Click here to see answer by CPhill(1959) |
Question 1170692: Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x is 5 6 3 7 12 10 8 11 13 4 9
y is 7.48 9.16 3.04 10.50 11.84 12.36 11.48 12.28 11.04 5.44 12.10
Need to find y= blink + blinkx ( round two decimal places as needed
Click here to see answer by CPhill(1959) |
Question 1170691: A polling organization randomly selects an adult American for a survey about credit card usage. Suppose 48% of the population is male. Suppose 9.8% of males smoke cigars and 1.52% of females smoke cigars. If an adult is randomly selected for this survey who does not smoke cigars, what is the probability that person is a female?
Click here to see answer by CPhill(1959) |
Question 1170687: Mike's Resume shop specializes in creating resumes for students. A recent survey of Mike's shop revealed that a spelling error was made on 11% of the resumes last year. Assuming this rate continues into this month, and that they prepare 305 resumes this month, calculate the following probabilities.
For full marks your answer should be accurate to at least three decimal places.
a) The probability that there are spelling errors on more than 29 resumes.
b) The probability that there are spelling errors on at least 29 resumes.
c) The probability that there are spelling errors on exactly 29 resumes.
Click here to see answer by CPhill(1959) |
Question 1170686: In a survey, 25 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $43 and standard deviation of $8. Find the margin of error at a 80% confidence level.
Click here to see answer by CPhill(1959) |
Question 1170655: The sales revenue (in 100k EUR, rounded) of different Hornbach branches in February and March 2019 was shown in the table below.
Feb Mar
Hornbach Branch 1 100 110
Hornbach Branch 2 500 508
Hornbach Branch 3 500 509
Hornbach Branch 4 1000 999
Hornbach Branch 5 5000 5005
Hornbach Branch 6 10000 9998
a) On the average, are the sales per Branch in March higher than Feb? Substantiate your answer b) On the average, are the sales over all branches in March higher than Feb? Substantiate your answer c) Discuss and explain the difference
Click here to see answer by CPhill(1959) |
Question 1170653: The conversion rate of our website is 2.5%, meaning that from 1000 website visitors 25 place an order (purchase).
If the purchase amount per conversion is 15$ and the today' website visitors will be 220,
a) What is the probability that we will make exactly 150$ today?
b) What is the probability that we will make between 90$ and 210$ today?
c) You now want to improve your webpage by changing the UX design, but you are not sure if this will
increase the conversion rate. So, you run a split A/B test with the old version (A) and the new UX-enhanced
version (B) of your web page and measure the following results on Google Analytics:
* Equal sample size of 678 for A and B respectively
* 17 conversions on the A-page
* 28 conversions on the B page.
Can you claim with 95% confidence, that the new (B) page has a higher conversion rate, than A?
d) What is the min. sample size (assuming equal sample sizes for A and B) needed in order to conclude from a
difference in sample conversion rates of just 0.1% (convA=2.5% and convB=2.6%) that B is superior with
95% confidence?
e) The marketing manager finally decides to change the design of the web page to design B. Previously the
average time spent on the page was 3 minutes and 20 seconds and the standard deviation was 50 seconds.
Now after the new design a sample of 100 visits show an average time spent on page of 3 minutes 30
seconds. She claims that this is an improvement, meaning that people spend now more time on the page.
Can she be 99% confident that she’s right? Prove your answer
f) What if the confidence level in e) was relaxed to 95%?
Click here to see answer by CPhill(1959) |
Question 1209941: A bag contains 5 red balls and 3 green balls. A ball is drawn and then replaced
before a ball is drawn again. Draw a tree diagram to show all the possible
outcomes. Find the probability that:
a) two green balls are drawn.
b) the first ball is red and the second is green.
Click here to see answer by AnlytcPhil(1806)  |
Question 1209943: A coin has a probability 𝑝 of landing heads. It is flipped 10 times, resulting in 8 heads. Using Bayesian inference with the following prior information
(a) No prior knowledge about 𝑝.
(b) The coin is likely fair (𝑝 around 0.5).
(c) The coin is likely biased (𝑝 around 0 or 1).
(d) 𝑝 can only take one of three values: 0.2, 0.7, or 0.9.
(e) 𝑝 is restricted to the range 0.4 ≤ 𝑝 ≤ 0.9.
, answer the following questions:
(1) What is the estimated value of 𝑝?
(2) Is 𝑝 greater than 0.6?
Click here to see answer by CPhill(1959) |
Question 1209942: Given the random variables 𝑋, 𝑌, 𝑍 with the following distributions
𝑋 ~ 𝒩(0, 2^2), 𝑌 ~ 𝒰(0, |𝑋|), 𝑍 ~ ℰ(1/𝑌)
where: 𝒩(𝜇, 𝜎^2) is the normal distribution with mean 𝜇 and variance 𝜎^2, 𝒰(𝑎, 𝑏) is the uniform distribution on the interval (𝑎, 𝑏), ℰ(𝜆) is the exponential distribution with mean 1/𝜆.
Calculate 𝑃(𝑋 ≥ 3) given that we observe 𝑍 = 4.
Click here to see answer by CPhill(1959) |
Question 1209944: A coin has a probability 𝑝 of landing heads. It is flipped 10 times, resulting in 8 heads. Using Bayesian inference with the following prior information
(a) No prior knowledge about 𝑝.
(b) The coin is likely fair (𝑝 around 0.5).
(c) The coin is likely biased (𝑝 around 0 or 1).
(d) 𝑝 can only take one of three values: 0.2, 0.7, or 0.9.
(e) 𝑝 is restricted to the range 0.4 ≤ 𝑝 ≤ 0.9.
, answer the following questions:
(1) What is the estimated value of 𝑝?
(2) Is 𝑝 greater than 0.6?
The solution provided by @CPhill is completely incorrect.
Click here to see answer by ElectricPavlov(122) |
Question 1168407: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 900 tickets. There is one $3,000 grand prize, three $300 second prizes, and fourteen $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by ikleyn(52754)  |
Question 1170491: The student in district high school is estimated to be76600. Among these student, 52% were in private schools while the rest were in public school. Among those in private, the female students occupied 55%, while in the public the percentage of the female was 44%. If one wants to make an investigation on the students performance in the district what is the sample size needed for both sexes and in both private and public institutions? Consider the following and determine sample size with proportion allocation. Level of confidence ( cl=95%) sampling error (e=5%) level of variability (=40%) response rate (Rr=70%)
Click here to see answer by CPhill(1959) |
Question 1170482: A consumer advocacy group suspects that a local supermarket’s 500 grams of sugar actually weigh less than 500 grams. The group took a random sample of 20 such packages, weighed each one, and found the mean weight for the sample to be 496 grams with a standard deviation of 8 grams. Using 10% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 90% confidence interval of the true mean.
Hypothesis:
H_0:
H_1:
The level of significance is a = _____, df = ____, and the critical region is t = ____.
Compute for the value of one sample t-test.
Decision rule:
Conclusion:
Compute for the confidence interval.
Click here to see answer by CPhill(1959) |
Question 1170416: (i) When do you apply the analysis of variance technique?
(ii) The three samples given below have been obtained from three normal populations with equal variances. Test the hypothesis that the population means are equal at 5% level of significance.
Sample 1
6
8
5
12
9
Sample 2
5
3
8
7
7
Sample 3
10
7
11
10
12
Click here to see answer by CPhill(1959) |
Question 1170396: how much moeny does a typical family of four spend at a mcdonalds restaurant per visit?the amount is a normally distributed random variable with a mean of $16.40 and a standard deviation of $2.75
a.find the probability that a family of four spends less than $10
b.what is the amount below which only 10%of families of four spend at mcdonalds?
Click here to see answer by CPhill(1959) |
Question 1170393: A researcher suspects that the actual prevalence among children and adolescents is higher than the previously reported prevalence of GAD among children and adolescents. The previously reported prevalence is 3.9% and the researcher conducts a study to test the accuracy of the previous reported prevalence of GAD by recruiting 98 children and adolescents from various pediatrician's offices and tests them for GAD using the DSM-5. The researcher determines that the prevalence of GAD is 6.1%. What should the researchers conclusion be for 5% significance level?
Click here to see answer by CPhill(1959) |
Question 1170282: In the discussion of Nissan's Leaf, we looked at two hypothesis tests for the same 6 measurements of the range. The first treated Nissan's claim as something to prove and found the claim was not proved with this data. The second test gave Nissan the benefit of the doubt and found we would not reject their claim based on this data. The conclusions appear contradictory. This chart illustrates assuming the population mean is 74 or 77 miles. null and competing hypotheses
As a statistician, explain this to your client using a court trial as a parallel.
Click here to see answer by CPhill(1959) |
Question 1170276: An online designer clothing marketplace purchases items from Kenneth Cole, Michael Kors and Vera Wang. The most recent purchases are shown here:
Product Kenneth Cole Micheal Kors Vera Wang
Dresses 26 57 20
Jeans 64 73 20
If one item is selected at random, find theses probabilities, expressed as reduced fractions:
(a) It was purchased from Micheal Kors or Vera Wang.
The Probability that the item selected was purchased from michael kors or vera wang is________
Click here to see answer by CPhill(1959) |
Question 1170267: Twenty percent of Americans ages 25 to 75 have high blood pressure. Suppose a random sample of 16 Americans age 25 to 75 is selected. Find the following probabilities:
a) (2 marks) None will have high blood pressure.
b) (2 marks) Exactly four will have high blood pressure.
c) (2 marks) At least one will have high blood pressure.
d) (3 marks) Determine the mean and the standard deviation of the distribution
Click here to see answer by CPhill(1959) |
Question 1170244: In a certain stats class, the marks obtained by students on a class test followed a normal distribution with a mean of 68% and a standard deviation of 10%. What is the probability that the mean test mark from a sample of 25 students from the class was more than 72%?
Click here to see answer by CPhill(1959) |
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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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