📊 statistics

1. Problem statement: We have sugar bags filled with an average (mean) of 1004 g and a standard deviation of 2.4 g, assuming a normal distribution. 2. We want to find:

1. Let's start by stating the problem: We want to calculate Pearson's correlation coefficient, denoted as $r$, which measures the linear relationship between two variables. 2. The

1. The problem is to find the count of participants. 2. To find the count of participants, you typically need data or a list of participants.

1. We are given two sets of data: Midterms scores ($x$) and travel times ($y$). 2. We need to create a table including columns for $x$, $y$, $xy$, $x^2$, and $y^2$ for each partici

1. Let's create a table with columns for $x$, $y$, $xy$, $x^2$, and $y^2$. 2. For each participant, you need to provide values for $x$ and $y$.

1. **Stating the problem:** We have two sets of data: Midterm scores ($x$) and travel times ($y$). We want to analyze the relationship between these two variables, typically by fin

1. The problem is to create a table of participants including columns for $x$, $y$, $xy$, $x^2$, and $y^2$. 2. The formulas for each column are:

1. **State the problem:** We want to test if the average time teenagers spend on social media is 3 hours per day based on a sample of 100 teenagers. 2. **State the hypotheses:**

1. **Problem Statement:** Determine if there is a statistically significant relationship between students' travel time (in minutes) and their midterm exam scores at a 0.05 signific

1. **Stating the problem:** We have two data sets: midterm scores and travel times. We want to analyze the first data set, the midterm scores. 2. **Formula and rules:** To analyze

1. **Problem Statement:** Determine if there is a statistically significant relationship between students' travel time (independent variable $x$) and their midterm exam scores (dep

1. **Problem:** Find the area below $x=36$ for a normal distribution with mean $\mu=27$ and standard deviation $\sigma=14$. 2. **Formula:** Use the standard normal variable $Z=\fra

1. **Problem Statement:** Given a frequency distribution with class intervals and frequencies, find the First Quartile (Q1), Third Quartile (Q3), 5th Decile (D5), 9th Decile (D9),

1. **State the problem:** We want to find the probability that a randomly selected technician's salary is greater than 80000 given the average salary is 82450. 2. **Identify the di

1. **بيان المشكلة:** نريد اختبار ما إذا كانت البيانات التي تم جمعها عن عدد المستهلكين في 42 مركز تسويق تتبع توزيع ذي الحدين مع احتمال نجاح $p=0.2$ عند مستوى معنوية $\alpha=0.05$.

1. **بيان المسألة:** لدينا بيانات عن عدد المتسوّقين في 42 مركز تسويق وعدد الأسواق التي تحقق كل عدد متسوّقين. نريد اختبار ما إذا كانت هذه البيانات تتوافق مع توزيع ذي الحدين Binomial

1. **بيان المسألة:** لدينا بيانات عن عدد المتسوقين في 42 مركز تسويق وعدد الأسواق التي بها هذا العدد من المتسوقين.

1. **Problem Statement:** We have a class of 20 students, each recording the number of coins in their pockets. The data is given as:

1. **بيان المشكلة:** نريد اختبار ما إذا كانت البيانات المعطاة تتوافق مع توزيع ذي الحدين Binomial distribution عند مستوى معنوية 0.05، مع معرفة أن $p=0.2$.

1. **بيان المشكلة:** نريد اختبار ما إذا كانت البيانات المعطاة تتوافق مع توزيع ذي الحدين Binomial distribution عند مستوى معنوية 0.05.

1. **Problem Statement:** Predict the final grade for a student who misses five days using the least-squares regression line.