📊 statistics

1. The problem is to understand how to estimate the mean of a data set. 2. The mean (or average) is a measure of central tendency that summarizes the data with a single value.

1. The problem asks to recalculate everything using the mean value 31.32. 2. To proceed, identify the original calculations or formulas where the mean was used.

1. The problem states that the mean is 31.32. 2. The mean (or average) is calculated as the sum of all values divided by the number of values.

1. **State the problem:** We have 25 incubation periods (in hours) from a foodborne disease outbreak: 18, 20, 22, 22, 24, 24, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 35, 36

1. **State the problem:** Meryl wants to estimate the population mean number of photos Instagram users have, based on a sample of 80 users with a sample mean of 120 photos and a kn

1. **State the problem:** We are given test marks of 15 students with total sum $\sum x = 820$ and standard deviation $\sigma = 6.3$. We need to find: (i) $\sum (x - 53)$

1. **State the problem:** We have test marks $x$ of 15 students with $\sum x = 820$ and standard deviation $\sigma = 6.3$. We need to find: (i) $\sum (x - 53)$

1. **Problem statement:** We have 5 measurements of a ball bearing diameter: 8.1, 9.1, 8.9, 8.9, 9.1 mm. The true diameter is 9.0 mm.

1. The problem asks to estimate the number of rings containing between 1.6 g and 3 g of gold using the histogram data. 2. From the histogram, the frequency density at 2 g is about

1. **State the problem:** We have data on money spent on lottery tickets ranging from 1 to 1167. We want to group this data into 6 classes of equal width, starting with a lower lim

1. **Problem:** Find the mode of the time between placing an order and its delivery from the given frequency distribution. | Time | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 |

1. **Stating the problem:** We are given a frequency distribution of time intervals (in minutes) between placing an order and its delivery for a wholesaler. We need to find the mod

1. **State the problem:** We have tensile test data for a plastic cord with subgroup size $n=4$ and $N=10$ samples. Each sample has a mean ($\bar{X}$) and range ($R$). We need to c

1. **State the problem:** We want to find the 95% confidence interval (CI) for the difference between two population means, $\mu_1 - \mu_2$, based on two independent samples. 2. **

1. **State the problem:** We need to find the maximum score a student can have to be in the bottom 5% of the scores, given that the scores are normally distributed with mean $\mu =

1. The problem involves understanding the sign of $z$-scores in relation to percentages in a normal distribution. 2. When $z$ is negative, it corresponds to values below the mean,

1. Let's start by understanding what a z-score represents. A z-score measures how many standard deviations a data point is from the mean of a distribution. 2. The 10th percentile m

1. **State the problem:** We are given a normal distribution of finishing times with mean $\mu = 69.8$ seconds and standard deviation $\sigma = 1.3$ seconds. We want to find the sl

1. **Problem 5.a:** Test if the survival rate is greater than 85% at 5% significance level. Given: Sample size $n=20$, survivors $x=18$, hypothesized proportion $p_0=0.85$.

1. The problem is to verify the percentage decrease in suicide cases in the Philippines from 2023 to 2025. 2. The initial number of cases in 2023 is $3133$.

1. The problem asks to find the values for the left and right whiskers of the boxplot titled "Boxplot of Smokers". 2. Given data points: Q1 = 86 ± 5, Q2 = 177, Q3 = (? ± 5) : 5, an