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Which symbol is a test statistic used to test a hypothesis about a population mean?
Wiki User
∙ 10y ago
The answer depends on what character is used for the variable that is used for the population values.
Wiki User
∙ 10y ago
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Is N the sample or population mean?
N is neither the sample or population mean. The letter N represents the population size while the small case letter n represents sample size. The symbol of sample mean is x̄ ,while the symbol for population mean is µ.
When is the mean not a valid statistic to describe a set of data?
The population data may be skewed and thus the mean is not a valid statistic. If mean > median, the data will be skewed to the right. If median > mean, the data is skewed to the left.
What does this symbol mean in maths?
What symbol
What is test statistic Why do you have to know the distribution of a test statistic?
Suppose you have a theory about some random variable and you want to check if your theory is correct. You take some observations and summarise them using a test statistic. This may be their mean, maximum, a measure of spread - whatever. You want to check if the result that you got is consistent with your theory. You face a problem, though. Because the variable has a random element to it, it is always possible that the result that you got was pure chance. So you work out what the probability distribution of that test statistics would be IF your theory (hypothesis) were true. You use this distribution and the value of your test statistic to decide how likely your result was if your hypothesis were true. If that probability is very small, you conclude that your theory is not reasonable and you reject your hypothesis. Otherwise, you continue with the assumption that your theory is not unreasonable.
What statistic is produced when the difference between a score and the mean is divided by the standard deviation?
a "T" or a "Z" score. A "T" Score if comparing a sample. A "Z" Score when comparing a population. Remember, a population includes all observation, and a sample includes only a random selection of the population.
A conjecture about a population such as mean and proportion?
Hypothesis
Explain null hypothesis versus alternative hypothesis?
The null hypothesis is that there is no change in the population mean while the alternative hypothesis is that there is a change in the mean. The null hypothesis is stated as Ho:Mu=? in statistics while the alternative hypothesis is stated as Ho:Mu(<,>,≠)? depending on whether you are looking for mu to be greater, less than, or not equal to population mean.
How do you find the test statistic for a mean hypothesis test?
You can calculate a result that is somehow related to the mean, based on the data available. Provided that you can work out its distribution under the null hypothesis against appropriate alternatives, you have a test statistic.
The closer the sample mean is to the population mean?
Your question is a bit difficult to understand. I will rephrase: In hypothesis testing, when the sample mean is close to the assumed mean of the population (null hypotheses), what does that tell you? Answer: For a given sample size n and an alpha value, the closer the calculated mean is to the assumed mean of the population, the higher chance that null hypothesis will not be rejected in favor of the alternative hypothesis.
What is test statistic. Why do you have to know the distribution of a test statistic?
A test statistic is used to test whether a hypothesis that you have about the underlying distribution of your data is correct or not. The test statistic could be the mean, the variance, the maximum or anything else derived from the observed data. When you know the distribution of the test statistic (under the hypothesis that you want to test) you can find out how probable it was that your test statistic had the value it did have. If this probability is very small, then you reject the hypothesis. The test statistic should be chosen so that under one hypothesis it has one outcome and under the is a summary measure based on the data. It could be the mean, the maximum, the variance or any other statistic. You use a test statistic when you are testing between two hypothesis and the test statistic is one You might think of the test statistic as a single number that summarizes the sample data. Some common test statistics are z-score and t-scores.
Is the mean of a population is equal to 55 be an appropriate null hypothesis?
Yes.
When the observed sample mean is close to expected population mean what do you in terms of the null hypothesis?
It depends on whether the hypothesis concerns the mean or the standard error (or variance) or something else.
Is N the sample or population mean?
N is neither the sample or population mean. The letter N represents the population size while the small case letter n represents sample size. The symbol of sample mean is x̄ ,while the symbol for population mean is µ.
What is the the relationship between population and sample parameter and statistic?
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
What is a true statement with regard to perform a two-parameter hypothesis testing?
It is a rare to have an unknown population mean and a known population variance
What is the null hypothesis of an overall mean for a score of 85 with a standard deviation of 10 and the mean for 40 students is 90.?
The null hypothesis could be that the 40 students are a sample from the same (or similar) population.
What does it mean when tests are chi-square based?
A chi-squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true.
