📊 statistics

1. **Problem:** Given the mean and standard deviation of family incomes in urban and rural areas, find the probability that the difference in sample means exceeds 5000. Step 1: Ide

1. **Problem:** Calculate the probability that the difference between the average daily family income in the city and the countryside is more than 5,000. Step 1: Identify given dat

1. **Find the mean of: 4, 8, 10** - Add the numbers: $4 + 8 + 10 = 22$

1. Identify each variable as quantitative or qualitative. 1.a) Amount of time it takes to assemble a simple puzzle is quantitative because it is measured numerically.

1. Identify each variable as quantitative or qualitative. 1. a) Amount of time it takes to assemble a simple puzzle is a quantitative variable because it measures a numerical value

1. **State the problem:** We have monthly take-home salaries data and need to construct a frequency distribution using Sturge's rule, then find the mean, median, mode, mean absolut

1. **Problem 1.i:** Given the slopes of the regression lines $b_{xy} = 1.6$ and $b_{yx} = 0.4$, find the coefficient of correlation $r$. 2. The relationship between the slopes and

1. The problem involves selecting samples from a population of 200 students divided into four departments and analyzing social media usage data. 2. To select a simple random sample

1. The problem asks for the probability that the height of a randomly selected cocoa plant is between 110 cm and 130 cm. 2. To solve this, we need the probability distribution of t

1. **State the problem:** We have a normally distributed variable representing the height of dwarf cocoa plants with mean $\mu = 120$ cm and standard deviation $\sigma = 8$ cm. We

1. **State the problem:** We need to calculate the Spearman Correlation coefficient $r_s$ for the given data of hours studied and grades obtained by eight students. 2. **List the d

1. The problem asks to identify the outlier in the dataset $6, 4, 7, 9, 23, 5, 10$. 2. An outlier is a value that is significantly different from the other values in the dataset.

1. **State the problem:** Given the scores and their frequencies: Scores: $5, 6, 7, 8, 9$

1. **State the problem:** We have the heights of 25 sunflower plants shown in a stem-and-leaf diagram. We need to find: (a) The median height of the plants.

1. **State the problem:** We are given a cumulative frequency curve for discounts on sale items with cumulative frequencies 0, 10, 20, 30, 40, 50, 60, 70, 80 corresponding to disco

1. The problem involves interpreting a cumulative frequency graph of tree heights to find the median height. 2. The cumulative frequency graph shows the total number of trees up to

1. **State the problem:** We need to compute the chi-square value using the data from Table 1 and compare it to the rejection region >7.815 at significance level $\alpha=5\%$. This

1. **State the problem:** We need to compute the chi-square value using the data from Table 1 and compare it to the rejection region >7.815 at significance level $\alpha=5\%$. This

1. **State the problem:** We have 60 people surveyed, 22 of whom said cycling is their favorite hobby. We want to find the correct angle on a pie chart to mark the cycling section.

1. The problem is to find the central angle of the curry section in a pie chart where the frequency of curry orders is 12 out of a total of 30 meals. 2. The total number of meals o

1. **State the problem:** We want to test if there is a significant difference in the average life of four brands of fluorescent bulbs using one-way ANOVA at the 0.05 significance