📊 statistics

1. **State the problem:** We have a frequency distribution of earthworm lengths with one unknown frequency $K$ for the interval $68 \leq L < 72$. The mean length is given as 71.9 m

1. **State the problem:** We need to find the value of $K$, which represents the number of earthworms with lengths at least 68 mm but shorter than 72 mm, given the mean length of a

1. **State the problem:** We want to find the lower limit of a 95% confidence interval for the proportion $p$ of Jamaican nationals who select jogging as a recreational activity. 2

1. **Problem statement:** We have fried chicken dinners with mean weight $\mu = 48.0$ hectograms and standard deviation $\sigma = 2.4$ hectograms. We take a random sample of size $

1. **Problem statement:** We have fried chicken dinners with mean weight $\mu=48.0$ hectograms and standard deviation $\sigma=2.4$ hectograms. We take a random sample of size $n=10

1. **Problem statement:** We have fried chicken dinners with mean weight $\mu=48.0$ hectograms and standard deviation $\sigma=2.4$ hectograms. We take a random sample of size $n=10

1. **Problem Statement:** We have a production process with output per hour normally distributed with mean $\mu=92.0$ and standard deviation $\sigma=3.6$. A sample of size $n=4$ is

1. **State the problem:** We are given sums of $x$, $x^2$, $y$, $y^2$, and $xy$ for seven data points and need to find the linear regression line $\bar{y} = a + bx$.

1. **State the problem:** We have a sample of size $n=25$ from a normal population with mean $\mu=4$ and standard deviation $\sigma=2$. We want to find the probability that the sam

1. The problem asks for the area to the right of $z = 1.32$ under the standard normal distribution. 2. The standard normal distribution is symmetric with mean 0 and standard deviat

1. The problem states that $X$ is a normal random variable with mean $\mu = 50$ and standard deviation $\sigma = 3$. We are given a z-score $z = -1.2$ and asked to find the corresp

1. **State the problem:** We want to find the sample size $n$ required to estimate a population proportion $p$ within a margin of error $E=0.06$ at a 99% confidence level. 2. **For

1. **Problem Statement:** Calculate the sample mean operating time and sample variance for the given machine hours data: 3, 6, 2, 5, 5, 4, 5. 2. **Formula for Sample Mean:**

1. **State the problem:** Calculate the value of $$r = \frac{7 \times 2495 - 113 \times 161}{\sqrt{(7 \times 1889 - 113^2)(7 \times 3883 - 161^2)}}$$

1. **Problem statement:** We need to find five numbers for each of the following conditions: i) mode < median < mean

1. **Problem statement:** We are given a histogram showing honey production by beehives. We know 400 beehives produced between 16 kg and 18 kg of honey. We need to find the frequen

1. **Stating the problem:** We have two brands of cars with measurements for 8 cars each. The differences between Brand 1 and Brand 2 for each car are given. We want to test the hy

1. **Stating the problem:** We want to test if there is a significant difference in consumer opinions on three aspects (Harga, Kebersihan, Cita Rasa) of a restaurant based on the s

1. The problem asks us to determine which conclusion is appropriate based on the researcher's findings about guinea pigs and wild cavies crossing virtual squares in different habit

1. **Stating the problem:** We are asked to find the median value from the given histogram data with class midpoints and frequencies. 2. **Data given:**

1. The problem asks to estimate the correlation coefficient of a scatterplot showing a positive linear trend with moderate strength. 2. The correlation coefficient, denoted as $r$,