📊 statistics

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

1. The problem asks for the probability that in a group of 7 randomly selected U.S. residents, exactly 4 or 5 are in their twenties, given that 19% of U.S. residents are in their t

1. **Problem statement:** We have two brands of smartphones with durability data (in years). We want to find the 90% confidence interval (CI) for the difference in population means

1. The problem asks to determine whether the scenario involves Descriptive or Inferential Statistics. 2. Descriptive Statistics involves summarizing or describing data from a popul