t distribution
This is the difference in shape between the t distribution and the normal distribution
What is the t distribution having flatter peaks and fatter tails compared to the normal distribution?
This must be done in order to meet the random condition for inference procedures for means
What is the condition that the data needs to be collected by a random sample?
This is the name of the process of an approximation of a population mean via an interval of values that we’re saying any could be the population mean.
What is a one sample t interval for mean?
This is the hypothesis that is in the "μ = " format in a one sample t test for means (where x is a constant)
What is the null hypothesis?
This is the procedure necessary to estimate the true mean of bananas a specific species of monkey eats in a day with an interval of values given a random sample of 50 of those monkeys and the sample mean and standard deviation of how much bananas those monkeys ate in a day and given the assumption that the conditions are met.
What is a one sample t-interval for means?
This is, along with inference for slope, the inference procedure that uses the t distribution
What is inference procedure for means?
This condition lets us treat trials as if they were independent even if they are not.
What is the condition that says that the sample size should be less than or equal to 10% of the population size?
This is the approximation of the standard deviation.
This hypothesis is in the "μ > x" or "μ < x" or "μ ≠ x" in a one sample t test for means (where x is a constant)
What is the alternative hypothesis?
This is the procedure necessary to estimate the true difference in the mean number of bananas eaten per day between two species of monkeys with an interval, given a random sample of 50 monkeys from species A with their sample mean and standard deviation, and the sample of 48 monkeys with their sample mean and standard deviation.
What is 2 sample t-interval for means?
As this increases, the t distribution approaches the shape of a normal distribution
What is degrees of freedom?
For the normality condition in inference procedure for means, this theorem says that, as long as the sample size is at least 30, the sampling distribution will be approximately normal regardless of the shape of the population distribution.
What is the Central Limit Theorem?
This is the value multiplied by the standard error to create the margin of error in a confidence interval for means
What is the t* value?
This is the probability of getting a result equal to or more extreme than what was observed under the assumption that the null hypothesis is true.
What is the p-value?
This is the procedure necessary to test the claim that species A of monkeys eats, on average, more bananas a day than species B given a sample of 76 monkeys from species A and the sample mean and standard deviation from the sample and also given the sample of 39 monkeys from species B and the sample mean and standard deviation from the sample with a = 0.05.
What is 2 sample t-test for difference in means?
In the t distribution, the degrees of freedom for inference procedure for means is calculated using this formula
What is the sample size - 1?
For the normality condition in inference procedures for means, if the sample size is less than 30, this can be checked to make sure the sampling distribution is approximately normal
What is checking if the original sample is normally distributed?
This serves as the midpoint for a confidence interval for means since the same value is being subtracted and added to create the two sides of the confidence interval.
What is the sample mean?
This is the value that the p-value should be less than in order to be considered statistically significant in order to reject the null hypothesis.
What is the significance level?
This is the null hypothesis necessary to test the claim that species A of monkeys eats, on average, more bananas a day than species B given a sample of 76 monkeys from species A and the sample mean and standard deviation from the sample and also given the sample of 39 monkeys from species B and the sample mean and standard deviation from the sample with a = 0.05.
What is μA=μB?
This is assumed in the normal distribution while not assumed in the t distribution
What is the assumption that the population standard deviation is known?
When doing experiments rather than observational studies, the random condition is slightly altered, and this term encompasses the random administering of treatments to the experimental units.
What is random assignment of treatments?
As this gets higher, the confidence intervals get wider
What is the confidence level?
This is the type of error that results in a false positive which means that the null hypothesis is wrongly rejected when really there was no significant statistical evidence for it.
What is a type 1 error?
This is the procedure necessary to test whether monkeys in species A get smarter after medication or not, IQ will be measured before and after the test of each monkey, and each monkey will be tested with the medication, and higher IQ is indicative of higher intelligence with a significance level (a) of 0.05.
What is a matched pairs t test for mean difference?