Statistics - Suppose that x has adistribution ... [See the attached Question Fiel.]
Suppose that x has adistribution ... [See the attached Question Fiel.]
Suppose that x has adistribution ... [See the attached Question Fiel.]
The expected return and standard deviation of returns of General Mills common stock over the next year are estimated to be 20 percent and 12 percent, respectively. Assume that the returns are approximately normally distributed. a. Determine the probability of incurring a loss (negative rate of return) from investing in this st
For a given population of high school seniors, the schoolastic aptitude test (SAT) in mathemathics has a mean score of 500 with the standard deviation of 100. Another widely used test is the American college testing (ACT)exam. The mathemathics portion of the ACT mean of 18 and a standard deviation of 6. (a) Suppose that an en
Medical: Blood Protoplasm - Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults x is approximately normally distributed with the mean μ= 38
Assume X has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. 6. P(40 <= x <= 47) M = 50; s = 15 10. P(x >= 2); M = 3; s = 0.25 14. Find z such that 97.5% of the standard normal curve lies to the left of z. 18. Find z such that 95% of the standard normal curv
Please see the attached file. 1. Directions: A screening test for breast cancer was administered to 400 women with biopsy-proven breast cancer and to 400 normal women without breast cancer. The screening test results were positive for 100 of the biopsy-proven cases and 50 of the normal women. Question 1: The sensit
Suppose that the price of a non-dividend paying stock is $32, its volatility is 30%, and the risk-free rate for all maturities is 5% per annum. Use derivagem to calculate the costs of setting up the following positions. In each case provide a table showing the relationship between the profit and final stock price. Ignore the imp
The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of 50 points. At value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?
1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the point in the distribution in which 75.8% of the college students exceed when trying to find a parking spot in
1. Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with mean = 6 ounces and standard deviation= 2.5 ounces. Which of the following is true about the sampling distribution
The World Health Organization has reported that systolic blood pressures of Canadians are normally distributed with a mean of 121 and a standard deviation of 16. What symmetric interval about the mean will contain approximately 95% of the systolic blood pressure readings for Canadians? A. 105
Hello, Here are three quantitative methods problems. Thanks! -------------------------------- Prob 1 Bill and Joe are playing a match in which the first player to win 2 games wins the match. For any given game, the probability that Bill wins is 1/3. (a) Find the probability that Bill wins the match. (
Please see the attached file.
Find the indicated probability. 4) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. 5) In one region, the September energy consumption l
1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in les
1. In its standardized form, the normal distribution a) has a mean of 0 and a standard deviation of 1. b) has a mean of 1 and a variance of 0. c) has an area equal to 0.5. d) cannot be used to approximate discrete probability distributions. 2. For some positive value of Z, the probability that a standard normal variable
Which of the following is not a characteristic of the normal probability distribution? a. It is a discrete probability distribution. b. The total area under the curve is always equal to 1 c. 68% of the area under the normal curve is within one standard deviation of the mean. d. A negative z value is to the
1. Assume that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained. Find the proportion of male college students whose height is greater than 70 inches. 2. The diameters of oranges i
A recent study found that the average life expectancy of a person living in Africa is 53 years with a standard deviation of 7.5 years. If a person in Africa is selected at random, what is the probability that the person will die before the age of 65? a. 94.52% b. 82.89% c. 94.95% d. 88.49%
For the sheet-metal stamping machine in a certain factory, the time between failures, X1 has a mean between the failures, of 56 hours and a variance of 16 hours. The prepair time X2, has a mean time to repair of 5 hours and a variance of 4 hours. a) If X1 and X2 are independent , find the expected value and the variance of Y
The mean amount of a purchase at the Smith Hardware store is $23.50 with a standard deviation of $5.00. The amounts purchased follow a normal distribution. 50 customers were sampled: a.What is the likelihood the sample mean is at least $25.00? b.What is the likelihood the sample mean will fall into the $22.50 to $25.00 range
Questions in the attached file.
According to a retail electronics chain, adults in the 40 to 50 year old age group, the mean amount spent per year on electronics is $1998. Assume that the amount spent follows a normal distribution with a standard deviation of $550. a. What percent of adults in this age group spend more than $2500 per year on electronics? b
A. What does it mean to say that x = 152 has a standard score of +1.5? b. What does it mean to say that a particular value of x has a z-score of -2.1? c. In general, what is the standard score a measure of? 6. An animal trainer obtained the following data (Table A) in a study of reaction times of dogs (in seconds) to
The mean weight of loads of rock is 46.0 tons with a standard deviation of 8.0 tons. If 25 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 44.24 tons. Assume that the variable is normally distributed. a. 0.1677 b. 0.1357 c. 0.4129 d. 0.2957
I have completed the problem. But I am knowing how to check the normality assumptions of both population. I used minitab for output. Lesson 10, Practice Problems 1. Problem 6.8: First check assumptions by verification that there are both (1) independent samples from the two populations and (2) that data in each sample are
Please see the attached file. If you have any question or suggestion on my posting, please let me know. Thank you. --------------------------- (The material is from TESTS OF THE EQUALITY OF TWO NORMAL DISTRIBUTION. Please use technological device to solve/draw if you need (preferably Excel or Mathematica), please expla
Suppose you have a sample from a population with a normal distribution with mean 0 and variance 1. What happens when you increase the mean and why? What happens when you increase the variance and why? What happens if you increase the sample size and why?
A) P(x > 74) in a normally distributed set of data with a mean of 62 and a standard deviation of 9. b) P(49 < x < 78) in a normally distributed set of data with a mean of 62 and a standard deviation of 9. c) The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 109 inches, and
The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. a. What is the probability that a randomly selected teacher earns more than $525 per week? b. What is the probability a randomly selected teacher earns less than $435 per week?