📊 statistics

1. **State the problem:** We want to find the probability that a randomly chosen resident aged 40 or older has completed only high school or just some college. 2. **Identify the re

1. The problem asks: What percent of the time did Trent spend at least 80 minutes on homework? 2. From the data points given: 20, 40, 60, 80, 100, 120 minutes, we want to find the

1. The problem asks to find the class boundaries for the class interval 5 – 15. 2. Class boundaries are the values that separate classes without gaps, usually found by averaging th

1. **State the problem:** Find the class boundaries for the class interval 30 – 40. 2. **Recall the definition:** Class boundaries are the actual limits of the class intervals that

1. **State the problem:** We need to find the correlation coefficient $r$ for the given data table relating temperature and drying time. 2. **Recall the formula:** The correlation

1. **State the problem:** We are given a table of data with two variables: Minutes and Errors. We need to find the correlation coefficient $r$ that measures the strength and direct

1. **State the problem:** We are comparing two box plots representing the distances jumped by Car A and Car B. We need to determine which statements about their medians, ranges, an

1. **State the problem:** We need to describe the shape of the distribution shown by the dotplot of the number of siblings reported by 25 students. 2. **Understand key terms:**

1. **State the problem:** We are asked to describe the shape of the distribution shown in the stemplot. 2. **Understand the stemplot:** The stems represent the tens digit (3 to 10)

1. The problem asks to identify which statement about confidence intervals for a population proportion $p$ is NOT correct. 2. Recall the key concepts about confidence intervals for

1. **State the problem:** We are given a 90% confidence interval for a population proportion with a sample proportion of 18% and a margin of error of 4%. We need to find the width

1. The problem asks which type of graph is best to show the average rainfall in a city every year for ten years. 2. To represent data over time, such as yearly rainfall, a graph th

1. **State the problem:** We have a binomial experiment with $n=30$ peas and probability of green pods $p=0.75$. The standard deviation is given as $\sigma=2.4$ peas. 2. **Recall t

1. **State the problem:** We have groups of 30 peas, each pea has a 0.75 probability of having green pods. We want to find the mean and standard deviation of the number of peas wit

1. **State the problem:** We want to test the claim about the average service time at a fast-food chain.

1. **State the problem for the first scenario:** A fast-food chain claims the average service time is 3 minutes. You suspect it is not true (it seems longer).

1. **Problem Statement:** Why is average deviation useful in monitoring fuel efficiency?

1. **State the problem:** Find the average time it took the runner to complete five races with times 23, 25, 22, 24, and 26 minutes. 2. **Formula for average:** The average (mean)

1. **State the problem:** We are given frequencies of responses about seat belt usage and need to find the probabilities for each response category by dividing each frequency by th

1. **Problem statement:** We are given a sample of 50 patients with a mean blood sugar level of 130 mg/dl and a standard deviation of 4.6 mg/dl. We want to find a 90% confidence in

1. **State the problem:** We need to find the confidence interval given the sample mean $\bar{x} = 70.60$ and the margin of error $E = 2.65$. 2. **Formula for confidence interval:*