High School Statistics

Find the confidence interval for a mean of 142.5 and a margin of error of 5.2.

• (5.2, 142.5)

• (137.5, 142.5)

• (142.5, 147.5)

• (137.3, 147.7)

If using a 95% confidence level, what value of z should you use?

Descriptive Statistics: What is the mean of the following data set: 12, 15, 18, 20, 22?

• 14.2

• 19.8

• 17.4

• 25.6

Descriptive Statistics: Calculate the median of the following data set: 10, 12, 15, 18, 20, 25, 30

• 18

• 25

• 22

• 15

Correlation and Regression: Define correlation and explain the difference between positive and negative correlation.

• Correlation measures the accuracy of the relationship between two variables. Positive correlation means that as one variable increases, the other remains constant. Negative correlation means that as one variable increases, the other also increases.

• Correlation measures the randomness of the relationship between two variables. Positive correlation means that as one variable increases, the other becomes unpredictable. Negative correlation means that as one variable increases, the other becomes predictable.

• Correlation measures the distance between two variables. Positive correlation means that as one variable increases, the other decreases. Negative correlation means that as one variable increases, the other also increases.

• Correlation measures the strength and direction of the relationship between two variables. Positive correlation means that as one variable increases, the other also increases. Negative correlation means that as one variable increases, the other decreases.

Sampling Methods: What is the difference between random sampling and stratified sampling?

• Random sampling involves selecting a sample from the population based on convenience. Stratified sampling involves dividing the population into subgroups and then taking a non-random sample from each subgroup.

• Random sampling involves dividing the population into subgroups and then taking a random sample from each subgroup. Stratified sampling involves selecting a sample from the population in a way that each individual has an equal chance of being chosen.

• Random sampling involves selecting a sample from the population in a way that each individual has an equal chance of being chosen. Stratified sampling involves dividing the population into subgroups and then taking a random sample from each subgroup.

• Random sampling involves selecting a sample from the population based on personal preferences. Stratified sampling involves selecting a sample from the population without any specific criteria.

Describe the steps involved in conducting a hypothesis test.

• Collecting and analyzing the data, calculating the test statistic, determining the critical value or p-value, and making a decision based on the results.

• Reading a book, watching a movie, and going for a walk

• Asking a friend for their opinion, using a magic eight ball, and consulting a horoscope

• Guessing the outcome, flipping a coin, and making a decision based on intuition

Correlation and Regression: Calculate the regression line for the following data set: (2, 4), (3, 5), (5, 7), (7, 10)

• y = 3x + 5

• y = 0.976x + 2.024

• y = 4x + 1

• y = 2x + 3

Data Analysis: What is the purpose of a frequency distribution table in statistics?

• To identify outliers in a dataset

• To calculate the mean of a dataset

• To determine the standard deviation of a dataset

• To organize and display the frequency of different values or categories in a dataset.