Contents
- 1 How do you explain population mean?
- 2 How do you solve for population mean?
- 3 What is the main purpose for conducting a hypothesis test about a population mean?
- 4 What can you say about the mean of the sample means and the mean of the population?
- 5 What test statistic do we use when testing a population mean?
How do you explain population mean?
The population mean is an average of a group characteristic. The group could be a person, item, or thing, like “all the people living in the United States” or “all dog owners in Georgia”. A characteristic is just an item of interest. For example: In a school of 1,013 students, the average GPA is 3.1.
How do you solve for population mean?
Population Mean = Sum of All the Items / Number of Items
- Population Mean = (14+61+83+92+2+8+48+25+71+12) / 10.
- Population Mean = 416 / 10.
- Population Mean = 41.6.
What does population mean simple?
A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.
What is the main purpose for conducting a hypothesis test about a population mean?
Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data. The test provides evidence concerning the plausibility of the hypothesis, given the data. Statistical analysts test a hypothesis by measuring and examining a random sample of the population being analyzed.
What can you say about the mean of the sample means and the mean of the population?
The mean of the sampling distribution of the sample mean will always be the same as the mean of the original non-normal distribution. In other words, the sample mean is equal to the population mean. where σ is population standard deviation and n is sample size.
Why is population important in research?
Having a sample that is representative of the target population is important for researchers to be able to generalize results found from observations of the sample to the target population. Therefore, the researcher should take special care to ensure that those characteristics are represented in the sample.
What test statistic do we use when testing a population mean?
z-test
A z-test is a hypothesis test for testing a population mean, μ, against a supposed population mean, μ0. The z-test assumes normally distributed variables or a large sample size; then the central limit theorem guarantees a normally distributed sampling distribution.