Exam 3: Generalization: How Broadly Do the Results Apply

Which of the following is most likely to match the shape of the distribution of heights among teachers and students at a large elementary school?

A hot dog manufacturer asserts that one of its brands of hot dogs has an average fat content of 18grams per hot dog. Fat contents in hot dogs from this manufacturer follow an approximately normal distribution with a standard deviation of 1.1grams. Define the statisticx ̅ = mean fat content in a random sample of 10 hot dogs. -If the hot dog manufacturer's claim is true, what would be the standard deviation of the sampling distribution of ?

Noxious weeds are invasive plants that quickly spread and deplete the soil of nutrients that are required for all aspects of farming and ranching. With much at stake, the state of Montana has hired a team of researchers to explore the issue. They want to know the average number of noxious weeds per acre in North Central Montana. To do so, researchers divided the area of interest into 1,000,000 acres and randomly selected 24 of these acres. For each selected acre, they counted and removed the noxious weeds. The sample mean was 103.47 weeds, and the sample standard deviation was 46.034 weeds. Below is the simulated bootstrap distribution of 1,000 sample means they created from resampling the observed data. -If we had generated a bootstrap distribution of 1,000 sample medians rather than 1,000 sample means, what would be the shape of the bootstrap distribution of sample medians?

A hot dog manufacturer asserts that one of its brands of hot dogs has an average fat content of 18grams per hot dog. Fat contents in hot dogs from this manufacturer follow an approximately normal distribution with a standard deviation of 1.1grams. Define the statisticx ̅ = mean fat content in a random sample of 10 hot dogs. -Is the value 18 grams a statistic or a parameter?