For the male stature:
- sample population mean = 66.5"
- standard deviation = 1.3"
What male stature for this population represents the :
- 10th percentile?
- 50th percentile?
- 95th percentile?
Solution:
We are given µ = 66.5, σ = 1.3
For 10th percentile, Z = -1.28155 (by using z-table)
10th percentile = µ + Z*σ
10th percentile = 66.5 - 1.28155*1.3
10th percentile = 64.83399
For 50th percentile, Z = 0 (by using z-table)
50th percentile = µ + Z*σ = 66.5 + 0*1.3 = 66.5
50th percentile = 66.5
For 95th percentile, Z = 1.644853627 (by using z-table)
95th percentile = µ + Z*σ = 66.5 + 1.644853627*1.3 = 68.63830972
95th percentile = 68.63830972
For the male stature: - sample population mean = 66.5" - standard deviation = 1.3" What...
if the population mean is 320, sample mean is 295, sample’s standard deviation is 48. what is the Z value that represents the beta error for a sample size 22?
ETM 104 Human Factors at Work 3. (2.5 Points) Calculate the mean and standard deviation of the following data on stature (show all your steps in the calculations to arrive at the answers): Stature mm 1650 1760 1665 1720 1810 1690 1850 4. (2.5 Points) Mr. Smith's stature is 0.4 standard deviations below the mean stature for US males a. What percentile is his stature? b. What percentage of US males is taller than he is? c. Suppose the mean...
A population has a mean of 200 and a standard deviation of 50. A sample of size 100 will be taken and the sample mean will be used to estimate the a. What is the expected value of x? b. What is the standard deviation of x? c. 18. population mean Show the sampling distribution of x What does the sampling distribution of i show?
In a normal population where the mean is 900 and the standard deviation is 25; what value of X is the 67th percentile?
ETM 104 Human Factors at Work 3. (2.5 Points) Calculate the mean and standard deviation of the following data on stature (show all your steps in the calculations to arrive at the answers): Stature mm 1650 1760 1665 1720 1810 1690 1850 4. (2.5 Points) Mr. Smith’s stature is 0.4 standard deviations below the mean stature for US males. a. What percentile is his stature? b. What percentage of US males is taller than he is? c. Suppose the mean...
When estimating a population mean by a sample mean, the margin of error does NOT depend on ______. A) The confidence level B) The sample mean C) The sample size D) The population standard deviation What is the sampling distribution of a statistic? A) The distribution of observations of the statistic for all possible sizes of samples from a population B) The distribution of all possible observations of the statistic for samples of a given size from a population C)...
The population mean is $51,300 and the population standard deviation is $5,000. When the sample size is n=20 , there is a .3472 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table. a. What is the probability that the sample mean is within $500 of the population mean if a sample of size 40 is used (to 4 decimals)? b. What is the probability that the sample mean is within $500 of the population...
A population has a mean of 200 and a standard deviation of 60. Suppose a sample of size 100 is selected and is used to estimate . What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)? What is the probability that the sample mean will be within +/- 16 of the population mean (to 4 decimals)?
A population has a mean of 200 and a standard deviation of 80. Suppose a sample of size 100 is selected and x̅ is used to estimate μ. a. What is the probability that the sample mean will be within +/- 9 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +/- 14 of the population mean (to 4 decimals)?
A population has a mean of 400 and a standard deviation of 40. Suppose a sample of size 125 is selected and x is used to estimate μ. a. What is the probability that the sample mean will be within +/- 9 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?