📊 statistics

1. **State the problem:** We have a data set of leftover cupcakes: 16, 31, 12, 28, 28, 20, 22, 22, 32, 16, 14, 25. 2. **Goal:** Determine which box plot correctly represents this d

1. **State the problem:** We have a set of temperatures recorded over two weeks: 56, 56, 58, 58, 60, 62, 62, 58, 56, 56, 55, 54, 55, 53. 2. **Organize the data:** Sort the data in

1. The problem is unclear as stated: "6 lands in class 65 to 69 no?". It seems to ask whether the number 6 belongs to the class interval 65 to 69. 2. A class interval like 65 to 69

1. **State the problem:** We are given a frequency distribution table with cumulative frequencies for 60 scores. We need to find the missing frequency value represented by '?'. 2.

1. **State the problem:** Given a sample of size $n=30$ with scores $X=45$ corresponding to $z=1.50$ and $X=40$ corresponding to $z=1.00$, find the sample mean $M$ and standard dev

1. **State the problem:** We have a population with mean $\mu = 37$ and standard deviation $s = 6$. It is standardized to a new distribution with mean $\mu = 50$ and standard devia

1. **State the problem:** Calculate the variance and standard deviation for the sample data: 10, 7, 9, 1, 2, 0, 6. 2. **Recall the formulas:**

1. **State the problem:** We are given a sample of scores: 1, 3, 1, 1. We need to calculate the sum of squares (SS) using the computational formula, then compute the sample varianc

1. **Stating the problem:** We have two shops, Kirsty’s Kiosk and Oscar’s Outlet, each rated from 1 to 4 by customers. The bar chart shows frequencies for each rating, but bars E a

1. **Enunciat del problema:** Tenim una mostra de variables i.i.d. $X_1, \ldots, X_n$ amb densitat $$f(x; \theta) = (2\pi)^{-1/2} (\theta x)^{-1} \exp\left\{-\frac{1}{2} \left(\fra

1. The problem asks about the interpretation of a 99% confidence interval for a population proportion based on a sample. 2. A confidence interval is constructed from sample data to

1. **State the problem:** We have a random sample of 1,000 likely voters, with 55% supporting candidate Taylor. The margin of error is 3 percentage points. We want to determine whi

1. **State the problem:** Vector wants to know what conclusion he can report about the energy produced by pure cow manure biomass versus cow manure mixed with mashed bananas, based

1. **Stating the problem:** Pam collected data on how many hours her friends watched TV last weekend. We need to analyze the distribution of this data based on the given statements

1. **State the problem:** We are given a distribution of runs scored by the Ravens' baseball team in several games and need to analyze the statements describing the data distributi

1. The problem is to recalculate the test statistic correctly when the previous calculation was wrong. 2. The test statistic formula depends on the type of test (e.g., z-test, t-te

1. **State the problem:** We are testing the claim about the population variance $\sigma^2$ with the hypotheses: $$H_0: \sigma^2 = 30.9$$

1. The problem asks to identify the trend shown by a scatter plot. 2. A scatter plot shows a positive trend if the points generally rise from the lower-left to the upper-right.

1. The problem asks to determine the trend shown by a scatter plot where points generally decrease as $x$ increases. 2. A positive trend means $y$ increases as $x$ increases.

1. The problem asks to determine if the scatter plot shows a positive trend, a negative trend, or no trend. 2. A positive trend means as $x$ increases, $y$ tends to increase.

1. The problem asks us to identify the trend shown by a scatter plot with points spread in the center of the graph. 2. A positive trend means points generally go upward from left t