📊 statistics

1. **Problem:** Find the area under the standard normal distribution curve between $z=0$ and $z=1.5$. 2. **Formula and rules:** The area between two z-scores on the standard normal

1. **State the problem:** We are given a data set with mean $\mu = 75$ and standard deviation $\sigma = 11.5$. We need to find the z-score for each value $x = 85, 50, 95, 75$. 2. *

1. **State the problem:** We have IQ scores of 60 children and need to form a frequency distribution with class intervals of width 15, then locate the mode graphically. 2. **Determ

1. **State the problem:** We are given the mean and standard deviation for Grade 11 males' gaming hours and a frequency distribution for Grade 11 females. We need to calculate the

1. **Problem statement:** We are given two sets of mass measurements for sunflower seed bags: one set for 227g bags and one for 454g bags. The standard deviation for the 227g bags

1. The problem asks: What is the p-value? 2. The p-value is a measure used in hypothesis testing to determine the strength of the evidence against the null hypothesis.

1. The problem is to determine whether the data provides statistical evidence that the average birth weight of babies of SES mothers is not 120, given the hypotheses and significan

1. **Problem statement:** We are given a histogram showing frequency densities for different mass intervals of honey produced by beehives. We know 600 beehives produced between 16

1. **State the problem:** We need to find the difference in percentage of the total number of drivers using High Occupancy Vehicles (HOV) during rush hour between Virginia (VA) and

1. **State the problem:** We want to find a 90% confidence interval for the mean weekend customer spend amount at Forest City Casino based on the given sample data. 2. **Identify t

1. **Problem Statement:** We are given the function $y = \ln(1 + x)$ and asked to find the first differential $dy$ and the second differential $d^2y$ at $x = 10$. Then, we explain

1. **Problem Statement:** We have a dataset normalized using Z-score: $$z = \frac{x - \mu}{\sigma}$$

1. Problem: We need to identify which statement about the municipal waste quantities in four cities (mesto 1 to mesto 4) shown in the box plot is NOT correct. 2. Understanding the

1. The problem is to estimate the median height of 60 trees using the histogram data. 2. The median corresponds to the 30th tree when the data is ordered by height.

1. The problem involves interpreting a histogram with frequency density on the vertical axis and height intervals on the horizontal axis. 2. The histogram bars represent frequency

1. **State the problem:** We need to estimate the median height of 60 trees using the histogram data, which gives frequency densities over height intervals. 2. **Recall the formula

1. **State the problem:** We need to estimate the mean daily energy output from a histogram showing frequency density versus energy output intervals. 2. **Recall the formula for me

1. **Problem statement:** Emily hits 70% of her free throws. She had 25 free throws last week. 2. **Formulas and rules:** For a binomial distribution with parameters $n$ (number of

1. **State the problem:** We need to analyze maternal blood vitamin D levels in two groups of breastfed infants: those with seizures and those without seizures, based on box-and-wh

1. **Problem Statement:** We have data on 10 workers showing their age (Y) and days absent (X). We want to: (a) Set up a scatter diagram of Age (Y) vs Days absent (X).

1. **Problem statement:** We have a frequency distribution of hospitalization days and their frequencies. We need to find the mean (average) and the test score (assumed to be the m