. A population with a normal distribution has a mean of 115 and standard deviation 13. A sample of 36 is taken from that population.
(a)What is the probability that the sample mean will have a value between 110 and 114?
Answer: (6 points) ______________
(b)What is the probability of the sample mean being at least 111.5?
Answer: (6 points) _________________
(c)What is the probability of the sample mean having a value of not more than 117?
Answer: (6 points) _________________
(d)What is the probability of sample mean being at most 117 but at least 116?
Answer: (6 points) __________________
(e)What is the probability of sample mean having a value of more than 115.5 OR less than 114.5?
Answer: (6 points) ______________________
. A population with a normal distribution has a mean of 115 and standard deviation 13....
A population has a normal distribution with a mean of 50 and a standard deviation of 10. If a random sample of size 9 is taken from the population, then what is the probability that this sample mean will be between 48 and 54?
A normal distribution of scores in population has a mean of µ = 100 with σ = 20. A. What is the probability of randomly selecting a score greater than X = 110 from this population? B. If a sample of n = 25 scores is randomly selected from this population, what is the probability that the sample mean will be greater than M = 110?
) X has normal distribution with a mean of 52 and standard deviation 3.5. (a) (9 points) Determine P(X less than or equal to 51) Answer: _____________________________ (b) (8 points) Determine P(X more than 53 or less than 50). Answer: ______________________________ (c) (8 points) Determine P( X being at least 54 but not more than 55). Answer: ________________________________
C) the standard deviation of the population is known D) both the underlying population is normal and the sample size n 30 are correct II. Calculation Questions. (2 points) 5. A random sample of size n=50 is taken from a population with mean μ =-9.5 and standard deviation 2. Calculate the expected value and standard error for the sampling distribution of the sample mean. What is the probability that the sample mean is less than -10? a. b. c. What...
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below. 23. What is the z-score for an individual with a value of 38? 24. What is the probability that a randomly chosen individual from this population will be greater than 40? 25. What is the probability that a randomly chosen individual from this population will be between 44 and 60? 26....
A population has a mean of 50 and a standard deviation of 7. You select a random sample of 36. Compute the following: The probability that the sample mean will be larger than 51.5. (3 point) The probability that the sample mean will be smaller than 48. (3 point) The value for which there is a .025 probability that the sample mean will be greater than. (3 points)
population values has normal distribution with mean of 212.5 and standard deviation of 4.8. we get random sample of 40. a) find probability that a single value is greater than 200.3 b) find probability that a sample size n=40 randomly selected is greater than 200.3 sorry SD 4.8
5.4.1 Question Help A population has a mean μ-84 and a standard deviation σ-36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 81. μί-d (simplify your answer.) 5.4.18-T Question Help I * The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability For a sample...
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution. * b. Find the mean of this sampling distribution. * c. Find the standard error of this sampling distribution. * d. What is the...