📊 statistics

1. **State the problem:** We are given frequencies of responses about seat belt usage and need to find the probabilities for each response category by dividing each frequency by th

1. **Problem statement:** We are given a sample of 50 patients with a mean blood sugar level of 130 mg/dl and a standard deviation of 4.6 mg/dl. We want to find a 90% confidence in

1. **State the problem:** We need to find the confidence interval given the sample mean $\bar{x} = 70.60$ and the margin of error $E = 2.65$. 2. **Formula for confidence interval:*

1. **Problem statement:** Use the normal approximation to the binomial distribution to find the probability of getting more than 10 and fewer than 15 successes in 24 rolls. 2. **Fo

1. **Problem Statement:** We have two independent samples of wait times from Clinic A and Clinic B. We need to test if their distributions differ using Anderson-Darling (AD) tests,

1. The problem involves a normal distribution with mean $\mu = 62\%$ and standard deviation $\sigma = 11\%$. We are given probabilities or percentages related to this distribution.

1. **State the problem:** We have the number of students in the marching band from each class: Freshman 24, Sophomore 8, Junior 32, Senior 16. We want to find which bars in the per

1. **State the problem:** We have a table showing the number of cars by color that went through a car wash in one day. We need to determine which TWO statements are supported by th

1. **State the problem:** Derrick made 66 baskets out of 80 attempts on the first day. We need to find the percentage of throws he made.

1. **Stating the problem:** We have a frequency distribution table for heights in centimeters with intervals and their corresponding frequencies: 120 < x \leq 130 with frequency 2,

1. **State the problem:** We need to estimate the mean amount of time spent on stage by actors, given grouped frequency data. 2. **Recall the formula for the mean of grouped data:*

1. **Problem statement:** (a) Find the value of $z_1$ such that the area under the standard normal curve from 0 to $z_1$ is 67%.

1. **Problem Statement:** Find the probability that at least 3 out of 5 randomly selected donors have Group O blood, given $p=0.45$ is the probability an individual has Group O blo

1. **State the problem:** We have a normal distribution with mean $\mu = 61.6$ and unknown standard deviation $\sigma$. We know that 75% of the area lies to the right of 60, and we

1. **Problem statement:** A researcher samples 200 MU students to find the proportion who prefer chocolate ice cream. The population proportion is $p=0.26$. We want to find probabi

1. **Problem Statement:** We have a population mean $\mu = 17$ minutes and population standard deviation $\sigma = 12$ minutes. A sample of size $n = 50$ is taken. We assume the sa

1. **Problem:** Which statement correctly compares t-distributions to the normal distribution? 2. **Statements:**

1. The problem asks for the fewest pizzas sold in a day based on the data recorded. 2. From the description, the box plot shows the whiskers extending from 75 to 210 pizzas sold.

1. Problem 5: Given that a sector measures 54° and 75 people chose tulips as their favorite flower, find the total number of people. 2. To solve this, we use the formula relating t

1. **State the problem:** We have a discrete random variable $x$ with values $0,1,2,3,4,5$ and their corresponding probabilities $p(x) = 0.15, 0.25, 0.05, 0.05, 0.3, 0.2$. We need

1. The problem asks to determine if each situation results in data with variability (V) or no variability (NV). 2. Variability means the data values can change or differ; no variab