📊 statistics

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

1. **State the problem:** We need to find the percentile rank of a score of 141 in a class of 20 students with the given scores. 2. **List the scores:** 168, 152, 112, 88, 95, 123,

1. **State the problem:** We have the number of speeding tickets given each day in March: 56, 57, 43, 56, 87, 37, 76, 55, 29, 65, 84, 74, 46, 58, 61, 40, 43, 60, 51, 77, 53, 47, 50

1. The problem asks whether to use primary or secondary data in two different situations. 2. For part a, determining the percentage of fellow workers who drink at least one coffee

1. The problem asks whether to use primary or secondary data in two situations. 2. For determining the percentage of fellow workers who drink at least one coffee a day, you would u

1. **State the problem:** We need to estimate the mean length from the grouped frequency table given. 2. **Identify the class intervals and frequencies:**

1. **State the problem:** We need to estimate the interquartile range (IQR) of flower heights using the cumulative frequency graph. 2. **Understand the IQR:** The IQR is the differ

1. The problem states that 108 coins weigh between 8 g and 17 g. We need to find the total number of Roman coins in the museum's collection. 2. The histogram shows frequency densit

1. The problem states that 400 beehives produced between 16 kg and 18 kg of honey, and we need to find the frequency density $x$ for the bin from 18 to 20 kg. 2. Frequency density

1. **State the problem:** We need to estimate the total weight of all the suitcases using the histogram data. 2. **Understand the histogram:** The histogram shows frequency density

1. **State the problem:** We need to create two two-way tables with 100 total values each. One table should show an association between two categorical variables (gender and eye co

1. The problem asks to identify two pairs of categorical variables: one pair that might be associated and one pair that might not be associated. Associated: Gender and Preference f