If x represents a random variable with mean 100 and standard deviation 14, then the standard deviation of the sampling distribution of the means with sample size 49 is 2.
true or false
If the distribution of the population is bimodal, then the sampling distribution for the sample means for this population with sample size 50 will be unimodal.
true of false
If the sample size is 49 and the population standard deviation is 28, then the standard deviation of the sampling distribution for means is 4.
true or false
If x represents a random variable with mean 100 and standard deviation 14, then the standard...
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
A variable of a population has a mean of 100 and a standard deviation of 28. Consider the sample distribution of samples means of sample size 49. a. What is the mean of sample means? b. What is the standard deviation of the sample means? c. Is the distribution of sample means normal? Why or why not? Do we need to know if the variable in question is normally distributed in the population? Why or why not?
A variable of a population has a mean of u = 70 and a standard deviation of a = 7. a. Identify the sampling distribution of the sample mean for samples of size 49. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not? a. What is the shape of the sampling distribution? normal a...
a variable of a population has a mean of 79 and a standard deviation of 18. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? uniform bimodal skewed normal? What is...
The random variable X represents the roll of a 10-sided fair die. That is to say its sample space is the set {1,2,3,4,5,6,7,8,9,10}, with each outcome equally likely. Calculate the following population parameters: a.) The population mean: μx = _______ b.) The population variance and standard deviation: c.) The expected value E[X²] 9.) For the normal random variable X with mean μ = 50 and standard deviation σ = 4, a.) Find the probability P(x > 60) = b.) Find the probability (49 < x̄ <...
A variable of a population has a mean of μ=100 and a standard deviation of σ=35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean________ and standard deviation_______?
A population has a mean μ=86 and a standard deviation σ=28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49.
If the distribution of the population is bimodal, then the sampling distribution for the sample means for this population with sample size 50 will be unimodal. True False
A population distribution has mean 50 and standard deviation 20. For a random sample of size 100, the sampling distribution of the sample mean has: A. mean 5 and standard deviation 2 B. mean 0.5 and standard deviation 0.2 C. mean 50 and standard deviation 0.2 D. mean 50 and standard deviation 2 E. mean 50 and standard deviation 20
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard deviation ơ 20. [2] The mean of the sample means": and the standard deviation ơi of the sample means are respectively a. 98, 18 b. 100, 20 c. 100,5 d. impossible to determine (ii) [1] Approximately what is the probability that the sample mean is between 95 and 105? a. 0.6826 b. 0.1974 c. 0.5861 d. 0.9876 (ii) [1] what must be true regarding...