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    Statistics: Probability and Binomial Distribution

    An airline has classified its customers as high-volume travelers (assumed to be business travelers) and low-volume travelers (assumed to be leisure travelers). Eighty five percent are high volume travelers. If five people are randomly selected from a list of customers, What is the probability none are high-volume travelers?

    Normal Distribution and Verification of Data Distribution

    Number Of Hours Of Television Watched 36.1 30.5 2.9 17.5 21.0 23.5 25.6 16.0 28.9 29.6 7.8 20.4 33.8 36.8 0.0 9.9 25.8 19.5 19.1 18.5 22.9 9.7 39.2 19.0 8.6 Using the following normal probability plot, determine if the data could have come from a normal distribution. Normal Probability Chart Determine the mean and st

    Normal Probability Using the Z Score

    1) The average amount of participation in Dallas, Texas, during the month of April is 3.5 inches Assume that a normal distribution applies and that the standard deviation is .8 inches. What percentage of the time dose the amount of rainfall in April exceed 5 inches? What percentage of the time is the amount of rainfall in Ap

    Normal Probability Distribution and Confidence Intervals

    What is the probability of P(-1.4 < Z < 0.6)? In a standard normal distribution, what is the area which lies between Z = -1.72 and Z = 2.53? Use the following information to conduct the confidence intervals specified to estimate μ. 95% confidence; X ̅=25, σ^2= 12.25, and n=60. 30% confidence; X ̅=119.6,

    Hypothesis Testing: Normal Probability Distribution

    Consider the following hypothesis test: Ho (null hypothesis): µ = 15 Ha (alternative hypothesis): µ ≠ 15 A sample of 25 gives a sample mean of 14.2 and sample standard deviation of 5. Answer the following questions regarding the hypothesis test. a) At α = 0.05, what is the rejection rule? b) Compute the value of

    An Introduction to Descriptive Statistics and Probability

    Please include all steps. 1) In a poll, respondents were asked if they have traveled to Europe. 68 respondents indicated that they have traveled to Europe and 124 respondents said that they have not traveled to Europe. If one of these respondents is randomly selected, what is the probability of getting someone who has travel

    Sample Calculation: Probablility

    3 8 6 5 7 11 6 4 9 9 1-Using the data set above, what value would you select to have less than a 25% chance of having a number smaller than this value 2-What is the chance that a value will be greater than 8 for the data set above

    Compute probability, conditional probability & relations

    See attachment for data. What is the probability that the student is a junior and makes a B in the course? What is the probability that the student does not make a A in the course, given that the student is a senior? What is the probability that the student makes a D or F in the course? Let A be the event t

    How to Calculate the Coefficient of Determination

    You are estimating the cost of optical sensors based on the POWER OUTPUT of the sensor. You decide to calculate the coefficient of determination (R^2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R^2 and determine its meaning. Σ(Yι - Ῡ)² =147172 Σ(Ŷ -

    Counting, probability and normal probability plot

    (a) The financial database of a company is secured by a password protection system. Each employee is given a randomly generated password containing three letters and two numbers. If repetitions of letters and numbers are not allowed, how many possible passwords are there? (b) Tickets for international cricket matches betw

    Computing Normal Probabilities with a Given Z Score

    1. Given that z is a standard normal random variable, compute the following probabilities. a. p (z = 2.0) b. p (z ≥ 1.4) c. p (-1.0 < z < 0.5) d. p (1.0 < z < 1.2) 2. The time needed to drive from city A to city B is normally distributed with a mean of 180 minutes and standard deviation of 20 minutes. a. Wha

    Exercises with Z-Scores and Percentiles

    Six steps of hypothesis testing are: Identify populations, comparison distribution, and assumption; state null and research hypothesis; determine characteristics of the comparisons distribution; determine critical values, or cutoffs; calculate test statistic; and make a decision. Question 7.18: Calculate the following p

    Z-score of sample means

    Compute a z statistic for each, assuming the population has a mean of 100 and a standard deviation of 20: Formula is z = (x - μ) / σ a. sample of 43 scores has a mean of 101: - 2.9 b. sample of 60 scores has a mean of 96: - 1.8 c. sample of 29 scores has a mean of 100: -3.55

    Null and Alternative Hypotheses and Type I and II Errors

    Share the null and alternative hypotheses for a decision that is relevant to your life. This can be a personal item or something at work. Be sure that it is mathematical in nature. Additionally, identify the Type I and Type II Errors that could occur with your decision‐making process. Be sure to quantify your hypotheses as mu

    Computing Probability and Deciding Extreme Samples

    Please explain how to solve. I have attempted to answer, please let me know if I'm right or wrong. Thank you! a random sample of n=9 scores is selected from a normal distribution with u= 80 and o=12. what is the probability that the sample mean will be between 76 and 84? * 0.9974 *0.3830 * 0.2586 * 0.6426 ( is this correc

    Sample Mean and Population Mean: Standard Deviation

    Please explain how to set up and solve. I have attempted to answer, please let me know if right or wrong... A sample of n= 36 scores is selected form a population with o= 12. if the sample mean of M=56 produces a z score of z= +3.00 then what is the population mean? * 56 *52 (is this correct?) * 54 *50 A sample of n=

    SD and SE Questions

    For a particular population, a sample of n=4 scores has a standard deviation error of 6. for the same population a sample of n=16 scores have a standard error of *3 * 8 *2 *6 A sample of n=16 scores has a standard deviation of 4. what is the standard deviation of the population from which the sample is obtained. * 64

    Expected value of sample mean

    A sample of n=100 scores is selected from a population with u= 80 with o= 20. on average how much error is expected between the sample mean and the population mean? * 0.8 points * 4 points * 0.2 points * 2 points If random samples, each with n=4 scores, are selected from a normal population with u= 80 and o=36, what i

    Means, standard errors, expected values

    For a population with u=80 and o=20, the distribution of sample means based on n=16 will have expected value of _____ and a standard error of ____. * 80; 1.25 (this is the one i had chosen at 1st?) * 80; 5 * 5; 80 * 20; 20 Samples of n=16 scores are selected from a population. If the distribution of sample means has an e

    Tattoos and Attractiveness

    There is some evidence indicating that people with visible tattoos are viewed more negatively than people without visible tattoos. In a similar study a researcher first obtains overall ratings of attractiveness for a woman with no tattoos shown in a color photo. On a 7 point scale the woman receives an average rating of u= 4.9,

    Hypothesis Testing for One Sample Z Test

    There is a popular belief that herbal remedies such as ginkgo biloba and ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well controlled research. in a typical study a researcher obtains a sample of n=16 participants and has each person take a herbal supplement for 90 days. a

    Sample Mean - Typical or Extreme Value

    Please explain how to solve this simple steps. I'm having such a hard time getting this stuff! A normal distribution has a mean of u=60 and a standard deviation of o=18. For each of the following samples, compute the z scores for the sample mean, and determine whether the sample mean is a typical, representative value or an ext

    Z-score calculation in simple steps

    Please explain how to solve this. In simple steps please. A population with a mean of u=80 and a standard deviation of o=12 find the z-score corresponding to each of the following samples. M= 83 for a sample of n= 4 scores z=___ M= 83 for a sample and n= 16 scores z=___ M= 83 for a sample and n= 36 scores z=____

    Standard Error calculations for population

    A population has a standard deviation of o=20, how large a sample is necessary to have a standard error that is: Less than or equal to 5 points? n>______ Less than or equal to 2 points? n>______ Less than or equal to 1 point? n>______ If I have a sample of n=25 scores, what is the value of the population standard devi

    Descriptive Statistics, Confidence Interval & Testing

    Bottling Company Case Study /Calculate measurements of central tendency and dispersal. Determine confidence intervals for data. Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16)

    Probability: expected value using exponential distribution

    Please assist in answering the following question. Please submit details of work including excel sheet used to arrive to the solution. Provide interpretation of results and describe conclusions. 1. Suppose that a car rental agency offers insurance for a week that will cost $10 per day. A minor fender bender will cost $1,500,

    investment science questions

    9. There are two propositions: (a) I flip a coin, If it is heads, you are paid $3; if it is tails, you are paid $0. It costs you $1 to participate in this proposition. You may do so at any level, or repeatedly, and the payoffs scale accordingly. (b) You may keep your money in your pocket (earning no interest). Here is a third pr

    Conditional Probabilities and Malaria

    A medical test for malaria is subject to some error. Given a person who has malaria, the probability that the test will fail to reveal the malaria is 0.06. Given a person who does not have malaria, the test will correctly identify that the person does not have malaria with probability 0.91. In a particular area, 20% of the

    Probability and Statistics Questions

    1. A large shipment of computer chips is known to contain 8% defective chips. Suppose you select 500 chips at random. (a) What distribution does the number of defective chips in the sample of 500 satisfy? (Please characterize its relevant parameters.) (b) Suppose that you wish to calculate the probability that the numb