📊 statistics

1. **Stating the problem:** A Human Resource Manager wants to sample employees from 5 different departments to gauge engagement levels. Each department has a different number of em

1. The problem involves selecting a sample of employees from an organisation with 5 departments, each having a different number of employees. 2. Since the HR manager has a list of

1. The problem is to understand and differentiate various sampling methods used in statistics. 2. **Simple Random Sampling**: Every member of the population has an equal chance of

1. **State the problem:** We need to determine the type of sampling method used in each of the four scenarios described. 2. **Recall common sampling methods:**

1. **Measures of Central Tendency: Mean, Mode, Median** - Mean is the average: $$\text{Mean} = \frac{\sum x_i}{n}$$ where $x_i$ are data points and $n$ is the number of points.

1. **State the problem:** We have data points showing a negative linear relationship between time spent texting ($x$) and time spent exercising ($y$). 2. **Write the equation of th

1. **State the problem:** We are given a scatter plot showing the relationship between average monthly temperature $x$ (in °F) and monthly heating cost $y$ (in dollars) for 23 mont

1. **State the problem:** We have a scatter plot showing the relationship between years of experience $x$ and amount charged per hour $y$ for dog sitters. We want to find an approx

1. The problem asks us to find the equation of the line of best fit for the scatter plot relating time spent studying ($x$) to quiz score ($y$), and then use that equation to predi

1. The problem gives a scatter plot showing the relationship between time spent watching TV ($x$) and time spent doing homework ($y$). 2. We need to find the line of best fit, whic

1. The problem involves interpreting survey data about respondents' education, sex, work experience, and position in a bank, and analyzing the impact of e-payment systems on queue

1. The problem involves interpreting survey data about respondents' educational background, sex, years of working experience, and position in a bank. 2. From Table 4.1, all 20 resp

1. The problem involves interpreting and analyzing survey data presented in tables about respondents' educational background, sex, years of working experience, and position in a ba

1. **State the problem:** We want to find a 95% confidence interval for the true mean change in students' test scores after Mrs. Jones started using verbal positive reinforcement.

1. **State the problem:** We want to construct a 99% confidence interval for the true mean change in typing speeds before and after using the program. 2. **Identify the data:** We

1. **State the problem:** We need to construct a confidence interval for the mean of the paired differences given: - Sample size $n=35$

1. The problem provides a frequency distribution table with intervals for the variable $x$ (area in m²) and corresponding frequencies. The frequencies for the intervals $20 < x \le

1. Let's clarify the problem: You are asking if option d is correct because a Pareto chart is a combination of a line graph and a bar chart. 2. A Pareto chart is indeed a type of c

1. The question asks if quota sampling involves dividing the population into groups. 2. Quota sampling is a non-probability sampling technique where the population is divided into

1. The problem asks to identify the measurement scales for four variables collected from 150 students: Age in years, Grade level, Gender, and Number of hours studying per week. 2.

1. The problem asks for the probability that a randomly chosen worker spent more than 5 hours but at most 10 hours working from home, i.e., $5 < H \leq 10$. 2. From the cumulative