Sampling Distribution Mean

The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?

• P = -1.05

• P = .1459

• P = .0202

• P = .8531

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

Which two factors prove that the sampling distribution of X-bar is approximately normal? (Select both that apply)

• n(p) >= 10 and n(1-p) >=10

• the population is stated as approximately normal

• n is greater than or equal to 30

• the population is stated as symmetric

Calculate μ_x-bar and σ_x-bar if μ = 794, σ = 48, and n = 64

• μ_x-bar = 794, σ_x-bar = 0.75

• μ_x-bar = 12.4, σ_x-bar = 0.75

• μ_x-bar =794, σ_x-bar = 6

• μ_x-bar = 99.25, σ_x-bar = 6

The average cost for a gallon of gasoline is $2.51 (source AAA.org) with a standard deviation of $0.42. Find the mean and standard error of the sampling distribution if n = 49

• μ_x-bar = 2.51, σ_x-bar = 0.06

• μ_x-bar = 0.358, σ_x-bar = 0.06

• μ_x-bar = 2.51, σ_x-bar = 0.42

• μ_x-bar = 2.51, σ_x-bar = 0.857

Mr. Szrom's last chemistry test was normally distributed with a mean of 68 and a standard deviation of 12.  Random samples of size 16 are drawn from the population.  Find the mean of the sample means and the standard error of the sampling distribution.

• μ_x-bar = 68, σ_x-bar = 0.75

• μ_x-bar = 17, σ_x-bar = 3

• μ_x-bar = 17, σ_x-bar = 12

• μ_x-bar = 68, σ_x-bar = 3

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 35 students. What is the probability that the mean of her class is more than 6 miles?

• P = 0.00

• P = 0.0820

• P = 0.9180

• P = 1.27

If a sampling distribution of sample means has a sample size less than 30:

• the shape will be Normal

• the shape will be the shape of the population

• the shape will not be Normal

• I don't know

The population mean of a particular dental procedure is $150 with standard deviation $23.45. An insurance company randomly selects 10 dental practices in California and asks for the cash (non-insurance) price for this procedure at each practice. What is the mean of the sampling distribution of the sample mean? Round to two decimal places. DON'T FORGET UNITS!

The population mean of a particular dental procedure is $150 with standard deviation $23.45. An insurance company randomly selects 10 dental practices in California and asks for the cash (non-insurance) price for this procedure at each practice. What is the STANDARD DEVIATION of the sampling distribution of the sample mean? Round to two decimal places. DON'T FORGET UNITS!