📊 statistics

1. **Problem Statement:** Calculate the mean, median, mode, range, variance, and standard deviation for the time (in minutes) it takes smokers to fall asleep given the data: 69.3,

1. **Problem Statement:** Given failure times at 75, 79, 83, and 85 hours, find the one-sided lower tolerance limit for 95% reliability with 90% confidence assuming normal distribu

1. **Problem statement:** We have a discrete random variable $R$ following a binomial distribution $R \sim B(n,p)$ with mean 200.

1. **Problem statement:** Chris sees an average of 15 meteors per hour on Monday night. We want to find probabilities for meteors seen in shorter intervals and perform a hypothesis

1. **Nyatakan masalah:** Kita diberi taburan kebarangkalian bilangan penghantaran $X$ oleh rider p-hailing dalam satu jam dengan nilai $x = 1, 2, 3, 4, 5$ dan kebarangkalian $P(X=x

1. The problem asks to identify the sampling method used when a university selects 10 floors out of 180 floors across 30 residences and interviews everyone on those floors. 2. The

1. **Problem Statement:** We are given data on weekly Advertising Cost (X) and Sales (Y) and need to find the regression equation, correlation, estimate sales for $15 advertising c

1. **State the problem:** We are given data on advertising costs (X) and sales (Y) and asked to find the regression equation, correlation coefficient, estimate sales for X=15, calc

1. **Stating the problem:** We have a hypothesis test for a Normal distribution with unknown mean $M$ and known standard deviation $\sigma=1$. The null hypothesis is $H_0: M=0$ and

1. **Nyatakan masalah:** Diberi taburan normal dengan nilai $x=500$ di sebelah kanan min, dan kawasan di sebelah kanan 500 adalah 2.28%. 2. **Formula dan konsep:** Dalam taburan no

1. **Problem statement:** We have a normal distribution of reading times with mean $\mu = 40$ minutes and variance $\sigma^2 = 36$ minutes², so standard deviation $\sigma = \sqrt{3

1. **State the problem:** We are given a histogram showing birth weights of babies with frequency densities for intervals between 2kg and 5kg. We know 6 babies had birth weights le

1. **State the problem:** We have data points representing the number of successful baskets versus the distance from the basketball net. We need to create a scatter plot, draw a li

1. The problem asks for the amount of females, but no specific data or context is provided. 2. To find the amount of females, you typically need total population and the percentage

1. **Problem:** Find the frequency corresponding to the cumulative frequency (cf) 174 from the given distribution. 2. **Given Data:**

1. **Problem statement:** We have an exponential model for laderstande (charging levels) given by $$y = 1140.32(1.03693)^x$$ where $x$ is the number of måneder (months). The coeffi

1. **Problem statement:** We need to interpret the residual plot from a regression analysis of electric car sales over months. 2. **What is a residual plot?** A residual plot shows

1. Masalah pertama adalah melakukan uji beda sampel berpasangan pada kelompok LDR untuk membandingkan kedekatan sebelum dan sesudah LDR. 2. Formula yang digunakan adalah uji t berp

1. **Stating the problem:** We are given the weights of 12 newborn babies and asked to find the confidence interval for the mean weight with a significance level $\alpha = 2\%$. Th

1. **Problem:** Derive a confidence interval for the mean $\mu$ when the variance $\sigma^2$ is unknown. 2. **Formula and Explanation:** When $\sigma^2$ is unknown, we use the Stud

1. **Problem statement:** Calculate the probability that a sample mean is within $200 of the population mean $\mu=16642$ for sample sizes $n=30, 50, 100, 400$ given population stan