📊 statistics

1. **State the problem:** We are asked to find and describe the correlation coefficient, which measures the relationship between heights and weights of 50 individuals. 2. **Organiz

1. We are given data points for Year of Birth (x) and Life Expectancy (y). We need to find the correlation coefficient $r$ and determine if it is significant. 2. First, list the da

1. **State the Problem:** We want to test if there is an association between social media usage (x) and reading performance (RA, y). 2. **Null Hypothesis ($H_0$):** There is no ass

1. **State the problem:** We want to test whether social media usage ($x$) affects reading performance ($y$) of students. 2. **Define the null hypothesis ($H_0$):** There is no ass

1. **State the problem:** We want to find the 95% confidence interval for the average daily sales of a café based on a sample of 20 days, where the sample mean is $4800$ and the sa

1. **State the problem:** We are given the average annual profit ($\overline{y} = 9660$), the standard deviation ($s_y = 3010$), and the correlation coefficient ($r = 0.9987$) betw

1. **State the problem:** Determine if there is an association between social media usage (x) and reading performance (RA, y) among students. 2. **Null hypothesis (H0):** There is

1. Problem 1: Test Scores \nFind mode, median, mean, lower quartile (Q1), upper quartile (Q3), interquartile range (IQR), and population standard deviation.\nData: 37, 42, 48, 51,

1. The problem is to find the difference between the mean scores of Cris and Andrew. 2. First, calculate the mean score for Cris. Scores: $80, 30, 72, 80, 62$

1. The problem involves understanding or analyzing the sequence of numbers provided: 80, 30, 72, 80, 62. 2. We first observe these numbers and check for any patterns or relationshi

1. The problem is to find the mean of the data set: 80, 30, 72, 80, 62. 2. To find the mean, sum all the values:

1. The problem asks us to understand or analyze the sequence of numbers: 80, 30, 72, 80, 62. 2. Since no specific question is given, let's find the mean (average) to summarize the

1. **State the problem:** We are comparing the stability of weekly sales for Store A and Store B using their sales data: Store A: 10000, 12000, 11000, 13000, 12000; Store B: 5000,

1. The problem is to understand the Standard Normal Distribution Table that shows the area from 0 to $z$. 2. The Standard Normal Distribution is a normal distribution with mean 0 a

1. The problem is to find the value of $z$ such that the area to the left of $z$ under the standard normal curve is 0.2119. 2. The standard normal distribution has mean 0 and stand

1. Problem 1: Calculate the coefficient of correlation between supply (x) and demand (y) and interpret the results. Given:

1. Problem 54: Find the median score of the seven students with scores 48, 62, 62, 98, 76, 88, 70. 2. Sort the scores in ascending order: 48, 62, 62, 70, 76, 88, 98.

1. **Problem:** Analyse the randomized block design data for washing solutions effectiveness over 4 days at \( \alpha=0.05 \). 2. **Step 1:** State the data and design. We have thr

1. **Problem 1: Randomized Block Design Analysis of Washing Solutions** Step 1. State the problem: We need to analyze if there is a significant difference between the three washing

1. **Problem 1: Randomised Block Design Analysis** The experiment compares 3 washing solutions (treatments) over 4 days (blocks). Data is:

1. **Problem Statement:** Analyze the effectiveness of three washing solutions in retarding bacterial growth using a randomized block design with four days as blocks and significan