📊 statistics

1. **State the problem:** We want to test if the average time spent on the company's website per session is significantly different from the industry average of 5 minutes. 2. **Set

1. **State the problem:** Calculate the value of the expression:

1. **Problem Statement:** A bus arrives following a normal distribution with mean 8:55 AM and standard deviation 5 minutes. We want to find the probability the bus arrives earlier

1. **Problem Statement:** Forecast the number of participating households for May 2024 using various methods based on data from July 2023 to April 2024. 2. **Given Data:**

1. The problem involves testing a hypothesis with a significance level of 5% and determining the critical values for the test. 2. At a 5% significance level, the critical region is

1. **Problem statement:** Bilbo wants to test at the 5% significance level which number of transactions starting with digit 1 would be suspicious, given that the expected proportio

1. اماره چیست؟ اماره یک مقدار عددی است که از نمونه‌ای از داده‌ها محاسبه می‌شود و برای تخمین پارامترهای جامعه استفاده می‌شود. به عبارت ساده، اماره نماینده‌ای از ویژگی‌های جامعه است

1. The problem is to calculate the value of $\eta$ given by the formula: $$\eta = \frac{314 \cdot (1.96)^2 \cdot 0.613 \cdot (1 - 0.613)}{(0.1)^2 (314 - 1) + (1.96)^2 \cdot 0.613 \

1. The problem is to understand what a scatterplot is. 2. A scatterplot is a type of graph used in statistics and data analysis to display values for typically two variables for a

1. **Problem Statement:** Given a normal distribution $X \sim N(20, 2.5)$, calculate the following probabilities: 2. **Formula:** Use the standardization formula for normal distrib

1. **பிரச்சினையை விளக்குதல்:** 100 மாணவர்களின் கருத்துப் பாடத்தில் பெற்ற புள்ளிகள் தரப்பட்டுள்ளன. இவற்றின் அடிப்படையில் புள்ளியியல் கணக்கீடுகளை செய்ய வேண்டும்.

1. The problem is to create an ogive curve based on given pictorial data. 2. An ogive is a graph that represents the cumulative frequency or cumulative relative frequency of a data

1. **Problem Statement:** (a) Explain why organizing raw data is necessary and define frequency and frequency distribution.

1. **Problem Statement:** Prepare a frequency distribution table for the given data sets with specified class intervals. 2. **Frequency Distribution Table Construction:**

1. **Problem Statement:** Prepare a frequency distribution table for the given data with class intervals 10-19, 20-29, ..., etc. 2. **Formula and Rules:**

1. **Problem Statement:** We have a frequency distribution for weights of 390 materials with frequencies $f_i = [6, 25, 48, 72, 116, 60, 38, 22, 3]$ and class marks $CM_1=112$, $CM

1. **Problem statement:** Find the missing frequency in the data set where the values of $x$ are 2, 6, 7, 8, 9 and their corresponding frequencies $f$ are 4, 6, 12, $x$, and 8 resp

1. **Problem Statement:** Given the regression equations $$3x + 2y - 26 = 0$$ and $$0.67x + y - 51 = 0$$ and variance of $$x = 25$$, find: - (ci) the mean values of $$x$$ and $$y$$

1. **بيان المسألة:** نريد اختبار ما إذا كان متوسط أعمار غير المتزوجين يساوي 28 سنة بناءً على عينة من 100 فرد بمتوسط 27 سنة وانحراف معياري 4 سنوات، وبدرجة ثقة 95%.

1. **Problem statement:** We have the practice times (in minutes) of four students: An, Bảo, Hưng, and Trí.

1. **Problem:** Identify whether the following are permutations or combinations and determine the number of possible ways. **a)** A popular brand of pen is available in three color