📊 statistics

1. **Problem Statement:** Test whether there is an interaction between vegetable varieties and fertilizers on the number of leaves per plant at a 95% confidence level using the giv

1. **State the problem:** We have fresh weight data of plants under three fertilizer treatments (A, B, C) and want to test if fertilizer type significantly affects plant weight at

1. Diberi nilai-nilai kebarangkalian berikut: P(A) = 0.25, P(B | A^c) = 0.87, dan P(A dan B) = 0.20. (a) Lukiskan gambarajah pokok lengkap:

1. **Problem:** Find the mean, median, and mode of the staff salaries given the table. 2. **Step 1: Calculate the mean salary.**

1. **State the problem:** We have weekly sales data (in thousands of dollars) for an international corporation over 11 weeks. We want to find a linear regression model $y = mx + b$

1. The problem states that the standard deviation $\sigma$ is 10. 2. Standard deviation $\sigma$ is a measure of the amount of variation or dispersion in a set of values.

1. **State the problem:** We have a table showing grocery purchase options for men and women with some missing values. We need to fill in the missing values using the totals provid

1. **State the problem:** We have a table showing the number of students by grade level and whether they have pets or not. Some values are missing, and we need to fill them in. 2.

1. To find the p-value, we first need to know the test statistic and the distribution it follows. 2. The p-value is the probability of observing a test statistic as extreme as, or

1. The p-value is a concept in statistics used to determine the significance of results from a hypothesis test. 2. It represents the probability of obtaining test results at least

1. **State the problem:** We want to test if the proportion of identity theft complaints in a state is higher than 23% based on a sample of 383 identity theft complaints out of 145

1. **Problem Statement:** We need to find a 90% confidence interval for the standard deviation of the weights of single serving size packages of Reese's Cups. 2. **Formula and Expl

1. **Problem Statement:** Calculate a 99% confidence interval for the average weight of single-serving Reese's Cups packages based on a sample of 46 packages with mean weight 0.52

1. (a) Two properties of a discrete probability distribution are: 1. Each probability $P(x)$ satisfies $0 \leq P(x) \leq 1$.

1. **Problem Statement:** Find the critical values for the given confidence intervals without calculating the intervals themselves.

1. **Problem Statement:** A) Find the 14th percentile (P14) for the standard normal distribution $Z$.

1. The problem states that the effective number (l'effectif) is 206. 2. "L'effectif" typically refers to the total count or frequency in a data set.

1. **Stating the problem:** We are given the numbers 58, 76, 40, 35, 46, 50, 0, and 100. We want to analyze these numbers, which could involve finding measures like the mean, media

1. **Problem statement:** We want to test the null hypothesis $H_0: \rho=0$ against the alternative $H_1: \rho=0.5$ for the correlation $\rho$ between heights $(X_i, Y_i)$ of sibli

1. **State the problem:** We have a list of midterm test scores and need to find the lowest score that is above the 80th percentile, which means the lowest score that is higher tha

1. The problem asks which sample method is least likely to produce biased results in a survey comparing the popularity of different sports at a school. 2. Bias in sampling occurs w