📊 statistics

1. **Problem 1: Randomised Block Design Analysis** We have 3 washing solutions tested over 4 days (blocks), and bacterial growth measurements:

1. **Stating the problem:** Given monthly book sales data for 12 months in 2024, verify which statements about mode, median, mean, and quartile deviation are true. 2. **Extracting

1. **State the problem:** We have recovery times for 12 patients: $16, 9, 13, 6, 10, 8, 15, 7, 11, 5, 12, 4$ days. We will calculate the mean, deviations, variance, standard deviat

1. We have a randomized block design experiment comparing three washing solutions across four days. 2. The goal is to analyze the effect of solution on bacterial growth while accou

1. **State the problem**: Find the Pearson correlation coefficient $r$ and then find the predicted glucose level $y'$ for $x = 60$ using the simple linear regression formula $y' =

1. **Stating the problem:** Find the Pearson correlation coefficient for the given data, then solve the simple linear regression equation $y' = a + bx$ for $x = 60$. 2. **Data:**

1. **Problem:** Analyze the effect of three different washing solutions on bacterial growth over four days using a randomized block design at $\alpha=0.05$. The data are: Solution\

1. **Stating the problem:** We have a dataset of 40 salesmen's undergraduate units earned: 48, 60, 96, 78, 120, 54, 72, 72, 102, 108, 96, 107, 52, 60, 66, 120, 41, 60, 118, 65, 85,

1. **Problem statement:** We have petrol consumption data (miles per gallon, m.p.g.) for cars with the same engine size at different speeds (m.p.h.). We want to: a. Plot a scatter

1. **Problem statement:** We have 14 students' scores for Chemistry (independent variable, x) and ITGS (dependent variable, y). We need to plot the points, describe their correlati

1. نحدد معامل الارتباط الأقوى بناءً على القيمة المطلقة للمعامل لأننا نهتم بالقوة بغض النظر عن الإيجابية أو السلبية. - (1 , -0.0) القيمة المطلقة 0.0

1. Stating the problem: We have the data set: 108, 200, 310, 150, 180, 119, 160, 180, 201, 190, 280, 202, and we want to convert the given values (z-score, population, sample) into

1. The problem is to calculate the z-score for the given bill amounts assuming we have sample data. 2. First, calculate the sample mean $\bar{x}$ by summing all the values and divi

1. The problem involves calculating the z-score for a list of values relative to a population and a sample. 2. First, let's define the dataset: $108, 200, 310, 150, 180, 119, 160,

1. The problem involves analyzing the data set: 108, 200, 310, 150, 180, 119, 160, 180, 201, 190, 280, 202. We will calculate z-scores for these data points considering both popula

1. The problem asks which histogram shape is not true about the distribution shape described. 2. Histogram A is described as bell-shaped and symmetric, which matches the "Bentuk Lo

1. The problem gives us a frequency table showing time intervals and how many students took that amount of time to answer a question. We need to calculate the mean time spent by a

1. Given a frequency table with classes and cumulative frequencies, we need to find $X+Y$. 2. From the table, the cumulative frequency for the second class interval ($15-19$) is 11

1. **State the problem:** We have prices of 8 items in 2001 and 2021. We need to find the mean and standard deviation for both years, then calculate the covariance and correlation

1. Problem: We are asked to describe the relationship between heights and weights of 50 individuals using the correlation coefficient. 2. To find the correlation coefficient $r$, w

1. The problem asks us to describe the relationship between heights and weights of 50 individuals using the correlation coefficient. 2. The correlation coefficient $r$ measures the