Suppose a random variable x is normally distributed with μ = 17.5 and σ = 5.8 . According to the Central Limit Theorem, for samples of size 8:
The mean of the sampling distribution for x¯ ( x bar ) is:
Suppose a random variable x is normally distributed with μ = 17.5 and σ = 5.8 ....
A measurement is normally distributed with μ=18 and σ=5.8. Round answers below to three decimal places. (a) The mean of the sampling distribution of x¯ for samples of size 12 is: (b) The standard deviation of the sampling distribution of x¯ for samples of size 12 is:
The heights of fully grown trees of a specific species are normally distributed, with a mean of 76.5 ft and a standard deviation of 5.00 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is mu Subscript x over bar equals nothing. The standard error of the sampling...
Suppose x has a distribution with μ = 35 and σ = 18. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 35 and σ x = 4.5. No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 35 and σ x = 18. Yes, the x distribution...
Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100. 1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks) 2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2? 3. What...
Suppose x has a distribution with μ = 32 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 32 and σ x = 17. Yes, the x distribution is normal with mean μ x = 32 and σ x = 1.1. Yes, the x distribution...
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_______?
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 96th percentile. The 96th percentile is _______
Please detailed answers and workings should be given. thank you 11) A random variable x is normally distributed with μ=22 and σ-5. Determine the distance, in units of standard deviations, between each of the following values of x and mean a) x-10 b) x-20 c) x-25 d) x-30 e) x-0 x=60 11) A random variable x is normally distributed with μ=22 and σ-5. Determine the distance, in units of standard deviations, between each of the following values of x and...
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=77. Find the 89th percentile.
Assume the random variable X is normally distributed, with mean μ=46 and standard deviation σ=66. Find the 10th percentile