You know that a random variable has a normal distribution with standard deviation of 16. After...
You know that a random variable has a normal distribution with standard deviation of 16. After 10 draws, the average is -12.
- What is the standard error of the average estimate?
- If the true mean were -11, what is the probability that we could observe a value between -10.5 and -11.5?
You know that a random variable has a normal distribution with standard deviation of 25. After 10 draws, the average is -10. a. What is the standard error of the average estimate? b. If the true mean were -10, what is the probability that we could observe a value between -10.5 and -9.5
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You know that a random variable has a normal distribution with
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The random variable x has a normal distribution with standard deviation 2525. It is known that...
The random variable x has a normal distribution with standard deviation 2525. It is known that the probability that x exceeds 159159 is .90. Find the mean μ of the probability distribution.
The random variable x has a normal distribution with standard deviation 24.It is known that the...
The random variable x has a normal distribution with standard deviation 24.It is known that the probability that x exceeds 170 is .90. Find the mean μ of the probability distribution.
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5,...
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o...
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...
help Assume a random variable Z has a standard normal distribution (mean 0 and standard deviation...
help
Assume a random variable Z has a standard normal distribution (mean 0 and standard deviation 1). Use all decimal places from the Normal Table. Your final answers to 4 decimal places. a) The probability that Z lies between 1.55 and 1.86 is Select b) What is the value of Z if only 1.5% of all possible Z values are larger? Select]
Assume the grades has Normal distribution with the mean of 70, and the standard deviation of 15. Answer the following questions 1. Calculate 10t 25t* 50 75t and 90* percentiles once by converting to...
Assume the grades has Normal distribution with the mean of 70, and the standard deviation of 15. Answer the following questions 1. Calculate 10t 25t* 50 75t and 90* percentiles once by converting to the standard Normal distribution, and again directly (using the non-standard Normal distribution) 2. What percentage of students score between 80 and 90 in the exam? 3. What percentage of students fail? 4. What percentage of students pass with A? 5. Generate a sample of size 16...
a random variable X has a normal distribution with a mean of 17 ans standard deviation...
a random variable X has a normal distribution with a mean of 17 ans standard deviation of 3.5 what is the z score for a value of 21.2
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05....
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
16. The mean of a normal probability distribution is 400 pounds. The standard deviation is 10...
16. The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. a. What is the area between 415 pounds and the mean of 400 pounds? . a. .4332 b. .1915 c. .3085 b" What is the area between the mean and 395 pounds? .с. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?
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...
help
Assume a random variable Z has a standard normal distribution (mean 0 and standard deviation 1). Use all decimal places from the Normal Table. Your final answers to 4 decimal places. a) The probability that Z lies between 1.55 and 1.86 is Select b) What is the value of Z if only 1.5% of all possible Z values are larger? Select]
Assume the grades has Normal distribution with the mean of 70, and the standard deviation of 15. Answer the following questions 1. Calculate 10t 25t* 50 75t and 90* percentiles once by converting to the standard Normal distribution, and again directly (using the non-standard Normal distribution) 2. What percentage of students score between 80 and 90 in the exam? 3. What percentage of students fail? 4. What percentage of students pass with A? 5. Generate a sample of size 16...
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
16. The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. a. What is the area between 415 pounds and the mean of 400 pounds? . a. .4332 b. .1915 c. .3085 b" What is the area between the mean and 395 pounds? .с. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?
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