CHAPTER 7
show your work
A population has a mean of µ = 80 with σ = 25.
If a sample of n = 25 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?
If a sample of n = 49 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?
Each of the following samples was obtained from a population with µ = 100 and σ = 25.
What is the probability of selecting a sample with M = 85 or higher if of n = 25?
What is the probability of selecting a sample with M = 95 or lower if n = 36?
What is the probability of selecting samples between the Means of 98.5 and 102.2, if n = 36?
For samples with n = 60, which value of the Mean would separate the top 15% in the distribution of sample means, for a population with = 95 and = 24?
For samples with n = 80, which value of the Mean would separate the middle 70% in the distribution of sample means, for a population with = 100 and = 15?
For samples with n = 25, which value of the Mean would separate the bottom 40% in the distribution of sample means, for a population with = 80 and = 25?
By definition, jumbo shrimp are those that require between 10 and 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1.5, and forms a normal distribution.
What is the probability of randomly picking a sample of n = 25 1-pound bags that average more than M =13 shrimp per bag?
What is the probability of randomly picking a sample of n = 49 1-pound bags that average more than M =13 shrimp per bag?
What is the probability of randomly picking a sample of n = 25 1-pound bags that average fewer than M = 12 shrimp per bag?
