📊 statistics

1. **State the problem:** We have a sample of 900 days, with 100 foggy days. We want to find the 99% confidence interval for the percentage of foggy days in the district. 2. **Form

1. 题目说明：你提到老师用的是P值，并且提到了0.025这个数值。P值是统计学中用来判断假设检验结果显著性的一个概率值。 2. P值的定义：P值表示在原假设为真的情况下，观察到当前样本数据或更极端数据的概率。

1. **Problem statement:** We want to test if the normal body temperature is less than 98.6 degrees. 2. **Given data:** Sample size $n=18$, sample mean $\bar{x}=98.217$, sample stan

1. **Stating the problem:** We want to develop a simple regression model to predict a dependent variable $y$ based on an independent variable $x$. 2. **Formula used:** The simple l

1. **Problem Statement:** Marketing research consultants want to develop forecasting models to analyze the impact of four inputs $x_1$ (monthly family home take salary), $x_2$ (TV

1. **State the problem:** Find the standard deviation of the set $S = \{1,2,6,7,3,15,10,18,5\}$. 2. **Formula:** The standard deviation $\sigma$ for a sample is given by:

1. **Problem Statement:** Find the median of the daily sales data for 2 weeks of supermarket ABC. Given data: 15, 13, 16, 19, 21, 24, 25, 16, 15, 18, 17, 16, 21, 28

1. **State the problem:** We are testing the hypothesis about a population proportion $p$. Given:

1. **State the problem:** We want to test if the level of depression varies by marital status using an ANOVA F-test. 2. **Data groups:**

1. **Stating the problem:** We have data on motivation (X) and work enthusiasm (Y) and want to find the relationship between them using correlation and regression analysis.

1. The problem asks to derive the regression lines for determining the relationship between four variables: $y$, $x_1$, $x_2$, and $x_3$. 2. In multiple linear regression, the gene

1. **Stating the problem:** We want to analyze the influence of motivation (x) on work spirit (y) using the given data.

1. **Problem Statement:** We want to test the null hypothesis that there is no difference in anxiety levels between junior and senior high school students caused by the learning mo

1. **Problem Statement:** Find the class boundaries, class width, class marks, construct the frequency table, histogram, and determine mode, median, quartiles Q1 and Q3, and standa

1. **Problem Statement:** Find the class boundaries, class width, class marks, construct the frequency table, histogram, and determine mode, median, quartiles Q1 and Q3, and standa

1. **Problem Statement:** We are given sums and means of two variables $x$ (catalyst amount) and $y$ (chemical process yield) and need to analyze their relationship, likely by find

1. Masalah: Menentukan interval kepercayaan 90% untuk rasio varians populasi $\frac{\sigma_1^2}{\sigma_2^2}$ berdasarkan data sampel. 2. Diketahui:

1. **T-test for Single Sample Mean** Problem: Test if the mean of a sample $\bar{x} = 105$ differs from hypothesized mean $\mu = 100$ with $s = 15$, $n = 25$, $\alpha = 0.05$, two-

1. **Stating the problem:** We need to compute the value of $t$ using the formula $$t = \frac{xs - \mu}{\sqrt{n}}$$ and check if $t > 1.699$. 2. **Formula explanation:**

1. **State the problem:** We want to test if the average age of COVID-19 Delta variant fatalities among senior citizens is less than 70 years. 2. **Set up hypotheses:**

1. The problem states that the mean number of snow days for the five districts is 5. 2. The mean (average) is calculated by the formula: