📊 statistics

1. **State the problem:** We are given a mean $\mu = 77$ and a standard deviation $\sigma = 14$. We need to find the z-score values for given scores. 2. **Formula for z-score:** Th

1. The problem is to understand how the p-value is found on the GDC (Genomic Data Commons) platform. 2. The p-value is a statistical measure that helps determine the significance o

1. **State the problem:** We want to test if the new typing exercise method has a better success rate than the traditional method. The probability of success is $p$. 2. **Set hypot

1. **State the problem:** We want to test if the new exercises have a higher success rate than the traditional method, which has a success rate of 70% (or 0.7). 2. **Set up hypothe

1. **State the problem:** We want to test if the fuel economy of E10 fuel is the same as regular unleaded fuel using a paired t-test at a 5% significance level. 2. **Data given:**

1. সমস্যাটি হলো: জীববিজ্ঞান ও পরিসংখ্যান বিষয়ের নম্বর থেকে সংশ্লেষাংক (correlation coefficient) নির্ণয় করা। 2. সংশ্লেষাংক নির্ণয়ের সূত্র হলো: $$r = \frac{n\sum xy - \sum x \sum y}{

1. The problem involves understanding proportions in a population to plan a survey for launching new dishes. 2. We know 75% of customers are female and 25% are male.

1. **Stating the problem:** We have a two-way table showing the number of men and women workers who either have a problem or no problem with wage levels for men and women doing the

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