Stats - TI-84 Calculator Options

Mean, Median, and IQR

• 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

Normal Probabilities

• normalcdf:

  • ch. 5 and 6 flashcards

  • Used to calculate the probability that a random variable falls within a certain range in a normal distribution.

Proportions

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.

Means

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.

Categorical Data

• 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.

Numerical Data

• 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.

Categorical & Numerical Data

• 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