Stats - TI-84 Calculator Options

1-Var Stats:
- ch. 3 flashcards
- Provides a summary with the mean (x-bar), sample standard deviation, population standard deviation, minimum, Q1, median (Q2), Q3, and maximum
- Always leave FreqList blank when calculating

normalcdf:
- ch. 5 and 6 flashcards
- Used to calculate the probability that a random variable falls within a certain range in a normal distribution.

One Proportion

One Proportion Z-Interval (1-PropZInt):
- ch. 7, 8, and 9 flashcards
- Used to estimate a population proportion based on a sample proportion.
- It calculates a confidence interval for a single population proportion.
One Proportion Z-Test (1-PropZTest):
- ch. 7, 8, and 9 flashcards
- Used to test a hypothesis about a single population proportion.
- It determines whether there is enough evidence to reject a null hypothesis regarding the population proportion.

Two Proportions

Two Proportion Z-Interval (2-PropZInt):
- ch. 7, 8, and 9 flashcards
- Used to estimate the difference between two population proportions based on two sample proportions.
- It calculates a confidence interval for the difference between two population proportions.
Two Proportion Z-Test (2-PropZTest):
- ch. 7, 8, and 9 flashcards
- Used to test a hypothesis about the difference between two population proportions.
- It assesses whether the difference between the two sample proportions is statistically significant.

One Mean

T-Interval:
- ch. 7, 8, and 9 flashcards
- Used to estimate a population mean when the population standard deviation is unknown.
- It calculates a confidence interval for a single population mean using a t-distribution.
T-Test:
- ch. 7, 8, and 9 flashcards
- Used to test a hypothesis about a single population mean when the population standard deviation is unknown.

Two Means

Dependent:

Make the “difference score,” then see equations for One Mean (T-Interval and T-Test)

Independent:

2-SampTInt:
- ch. 7, 8, and 9 flashcards
- Used to estimate the difference between two population means when the population standard deviations are unknown.
- Data is independent.
2-SampTTest:
- ch. 7, 8, and 9 flashcards
- Used to test a hypothesis about the difference between two population means when the population standard deviations are unknown.
- Data is independent.

Use one categorical variable to predict another categorical variable
One Variable:
- Chi-Square Goodness-of-Fit Test (χ2 GOF-Test):
  - ch. 10 and 11
  - Used to test whether a sample distribution fits a hypothesized distribution.
  - It assesses whether the observed frequencies of categories in a single categorical variable differ significantly from expected frequencies.
Two Variables:
- Chi-Square Test (χ2 -Test):
  - ch. 10 and 11
  - Used to test for an association between two categorical variables.
  - It determines whether the observed frequencies in a contingency table differ significantly from the frequencies expected under the assumption of independence between the variables.

Two Variables:
- Linear Regression (LinReg(a+bx)):
  - Used to model the relationship between two numerical variables with a linear equation.
  - Use one numerical variable to predict another numerical variable
  - The equation is in the form y = a + bx, where y is the dependent variable, x is the independent variable, a is the y-intercept, and b is the slope.

One of Each:
- ANOVA (Analysis of Variance):
  - ch. 10 and 11
  - Used to compare the population means of three or more groups.
  - ANOVA tests whether there is a significant difference among the population means of the groups.
  - Use one categorical variable to predict a numerical variable