Sample mean = 40, SD = 8, n = 16. Standard error = ?

Uniform distribution 0–5: P(X < 3) = ?

A dataset: 4, 8, 12, 16, 20. Mean = ?

A commuter has a .4 probability of taking the bus to work, a .4 probability of driving a car, and a .2 probability of cycling. The probability of being late is .15 when taking the bus, .05 when driving a car, and .1 when cycling.

What is the probability of taking the bus and being on time, or driving a car and being on time?

The average lifespan of a dalmatian is 11.5 years, with a standard deviation of 1.5 years.

What are the two values between which 95% of the data falls for the average lifespan of a dalmatian, assuming a normal distribution?

A hospital analyzes the recovery rates of patients undergoing two different treatments for a specific condition. Treatment X has an overall recovery rate of 80%, while Treatment Y has a recovery rate of 90%. However, when the data is divided by age groups, Treatment X has a higher recovery rate in each age group compared to Treatment Y.

Is Simpson’s paradox present in this study?

Z-score formula = ?

Type II error β is:

95% confidence interval for mean = (45, 55). Which statement is correct?

In a class of 40 students, the following data were collected on their favorite sport:

Soccer: 10 students

Basketball: 15 students

Tennis: 5 students

Swimming: 10 students

What is the relative frequency of students whose favorite sport is not basketball?

A 10-sided die is rolled in a role-playing game.

What is the probability of rolling a number that is a multiple of 2 or greater than 7?

Poisson used for:

Two mutually exclusive events: P(A and B) = ?

Best chart for categorical data?

Which graph displays data in a manner that is accurate?

Central limit theorem applies when:

Probability of rolling sum = 12 = ?

A single ball is drawn from an opaque bag that contains red, blue, and green balls. The probability of drawing a red ball is .3, and the probability of drawing a blue ball is .6.

What is the probability of drawing a green ball?

In a city’s public transportation system, the distribution of commuters by mode of transport is as follows: 40% use buses, 25% use trains, 20% use bicycles, 10% walk, and 5% use other means of transportation.

What is the probability that a randomly selected commuter uses either a bus or a train?

A teacher plots the test scores of a class using the box plot.

What is the interquartile range?

Probability of drawing red card from deck = ?

Standard deviation increases →

One-sample t-test compares:

Correlation r = 0.8 → strong positive relationship →

Null hypothesis for a new drug shows no effect. True statement?

Mean = 100, SD = 15, z = 2. Value = ?

In a class of 30 students, 18 are enrolled in a math course, and 12 are enrolled in a science course. Among the students enrolled in the science course, 8 are also enrolled in the math course.

What is the probability that a student is enrolled in the math course given that they are enrolled in the science course?

A road safety research group wants to enhance road safety by analyzing the stopping distance of a car at different speeds. The group has recorded their data in the following scatterplot.

What is true about the outlier in the scatterplot?

Variance of Poisson λ = 5 = ?

A die is rolled twice. Probability of rolling two sixes?

Z-test used when:

Two dice rolled. Probability sum = 7?

Review the following inequality:

y ≤ −4x + 1

Which shaded region is described by this inequality?

Dataset: 3, 5, 7, 9, 11. Median = ?

A university surveys faculty and students to determine support for a new campus recycling initiative.

The results of the survey are shown in the following 2 × 2 contingency table:

Which statement is true?

Probability of rolling 1, 2, or 3 on die = ?

t-test used when:

68-95-99.7 rule: % within 1 SD?

Two independent events: P(A) = 0.3, P(B) = 0.2. P(A or B) = ?

Probability of exactly 1 head in 2 coin flips = ?

Two events mutually exclusive → P(A and B) = ?

Probability of at least one six in 2 dice rolls = ?

Type II error = ?

Correlation coefficient = −0.7. This indicates:

Given a normal distribution with a mean of 40 and a standard deviation of 6, what is the range that contains approximately 95% of the data?

Standard error decreases when: