📊 statistics

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

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. 2. Let's define the pairs:

1. The problem asks to find 2 values to complete a two-way table to show no association between returning to play in less than 2 days and treatment type (ice or heat). 2. No associ

1. The problem asks to find 2 values to complete a two-way table to show no association between returning to play in less than 2 days and treatment (ice or heat). 2. To show no ass

1. The problem asks to find 2 values to complete a two-way table showing no association between returning to play in less than 2 days and the treatment (ice or heat). 2. To show no

1. **State the problem:** We have a histogram showing weights of apples in grams with frequency densities for intervals of 30 grams. 2. **Calculate the number of apples in each int

1. The mode of grouped data is the value that appears most frequently in the data set, estimated from a grouped frequency distribution. 2. The formula to find the mode for grouped

1. The problem is to calculate the three-sigma control limits for a process with mean $\bar{x} = 400$ and standard deviation $\sigma = 1.2649$. 2. The Upper Control Limit (UCL) is