📊 statistics

1. **State the problem:** We want to find the best estimate of the mean number of years of experience of general managers based on the grouped frequency data provided. 2. **Formula

1. The problem is to find the mean (average) of the given list of numbers. 2. The formula for the mean of a set of numbers $x_1, x_2, \ldots, x_n$ is:

1. **Stating the problem:** We need to calculate the mean and standard deviation of the given data set. 2. **Mean formula:** The mean $\mu$ is calculated by summing all data points

1. **Stating the problem:** We are given a list of numbers and asked to find the sum, mode, mean, and median of the data set. 2. **Sum:** The sum is the total of all numbers added

1. The problem asks for the value below which 75% of the widths fall in the box plot. 2. In a box plot, the right edge of the box represents the 75th percentile (also called the th

1. **Problem Statement:** We have data for 7 patients with ages $T$ and blood pressures $P$. We want to analyze the relationship between $P$ and $T$ using linear regression. 2. **W

1. The problem involves analyzing a scatter plot showing the relationship between the age of African grey parrots (x-axis) and the number of words they know (y-axis). 2. We want to

1. **State the problem:** We have a dataset of 200 items with an initial mean of 80. Two items were recorded incorrectly: 61 was recorded as 16, and 45 was recorded as 15. We need

1. **Problem:** A publication reports 42% of adults believe radio stations should wait until after Thanksgiving to play holiday music. A researcher believes the true percentage is

1. **Problem:** A student is taking a multiple choice test with 5 questions, each having 4 possible answers. Find the following probabilities: a. Probability of getting only the fi

1. **State the problem:** We are given a data set represented by a box plot with values 21, 23, 25, 33, and 49. We need to find the lowest value, highest value, and the median of t

1. **Problem Statement:** Calculate the point estimate for the difference in population means, the margin of error for a 90% confidence interval, and then find the 90% confidence i

1. **State the problem:** We have a bivariate data set with an outlier and want to find the correlation coefficient with and without the outlier, then determine if the outlier chan

1. **State the problem:** We have a bivariate data set with an outlier and want to find the correlation coefficient with and without the outlier, then determine if the outlier chan

1. The problem involves interpreting the confidence interval for the difference in means between two regions, Northern (N) and Southern (S). 2. Given data:

1. **State the problem:** We want to find a 90% confidence interval for the mean difference in wing lengths between birds from northern and southern regions, given sample data. 2.

1. **Problem Statement:** A doctor wants to estimate the mean HDL cholesterol of 20- to 29-year-old females within 2 points margin of error.

1. **Problem statement:** We need to find the percentage of cyclists younger than 18 surveyed between response 21 and response 40. 2. **Understanding relative frequency:** Relative

1. **Stating the problem:** We need to estimate the number of rings containing between 1.6 g and 3 g of gold using the histogram data. 2. **Understanding the histogram:** The histo

1. **Problem Statement:** We are given correlation coefficients between first weekend gross, regional gross, and worldwide gross of six movies. We need to test if there is a signif

1. The problem is to analyze the relationship between the first weekend gross and the worldwide gross of movies. 2. We use the linear regression formula to find the relationship: $