The histogram shows a population of insurance claim amounts, with mu 640 dollars and sigma 300 dollars. Random samples of size 100 are drawn. What does the central limit theorem say about the sampling distribution of x-bar?

The histogram shows battery lifetimes at a factory, with mu 18 months and sigma 4 months. Random samples of 64 batteries are taken. What distributional shape should the x-bar values have over many samples?

The histogram shows daily cafeteria spending by students, with mu 7 dollars and sigma 3 dollars. Random samples of 120 students are selected. According to the central limit theorem, what happens to the sampling distribution of x-bar?

Clinic wait times are right-skewed, with mu 18 minutes and sigma 9 minutes. A clinic draws random samples of 49 visits and records x-bar. What shape does the theorem predict for the collection of x-bar values?

The histogram shows pumpkin masses on a farm, with mu 6 kg and sigma 2 kg. Random samples of 81 pumpkins are weighed. What does the central limit theorem license for x-bar?

Website downloads per hour are highly right-skewed, with mu 25 downloads and sigma 40 downloads. Random samples of 200 hours are used. What does the central limit theorem promise about x-bar?

A researcher wants a normal model for x-bar from a population with unknown shape, mu 52 points and sigma 11 points. What fact would let the central limit theorem justify that model?

A gym records workout times from the first 120 members who arrive. The population is right-skewed, with mu 46 minutes and sigma 20 minutes. Why does the central limit theorem not justify a normal model for x-bar here?

The histogram shows online purchase amounts, with mu 38 dollars and sigma 55 dollars. Random samples of 12 purchases are planned. Why is a normal model for x-bar not safely justified by the central limit theorem?

Cereal box fill amounts are normally distributed with mu 500 g and sigma 6 g. A quality check takes random samples of 10 boxes. Why can x-bar be modeled as normal?

A city studies bus ride times from a population with unknown shape, mu 22 minutes and sigma 8 minutes. The planned sample size is 60. What condition is still needed before using the central limit theorem for x-bar?

Household incomes in a city are strongly right-skewed, with mu 58,000 dollars and sigma 42,000 dollars. If random samples grow from 50 to 200 households, what happens to the standard deviation of x-bar?

A factory counts paint flaws per panel. The population is right-skewed, with mu 1.5 flaws and sigma 2.0 flaws. Random samples of 36 panels are taken. What is the approximate sampling distribution of x-bar?

The histogram shows exam completion times, with mu 42 minutes and sigma 7 minutes. Random samples of 100 students are taken. What stays true about the population while the theorem describes x-bar?

Restaurant bills are right-skewed, with mu 24 dollars and sigma 18 dollars. Random samples of 64 bills are taken. What does the central limit theorem allow and not allow us to say about x-bar?

Lake algae counts are strongly right-skewed, with mu 14 cells/mL and sigma 20 cells/mL. A lab takes random samples of 80 vials. What object, not the individual vial counts, is described by the central limit theorem?

Teen daily text messages are right-skewed, with mu 42 messages and sigma 30 messages. A study draws a random sample of 9 teens and computes x-bar. Is a normal model for x-bar safe by the central limit theorem?

The histogram shows adult heights at a clinic, with mu 170 cm and sigma 9 cm. A random sample of 5 adults is taken. Is a normal model for x-bar safe?

App load times are strongly right-skewed, with mu 3.2 seconds and sigma 2.1 seconds. A developer uses random samples of 100 launches. What is the safest shape description for the sampling distribution of x-bar?

The histogram shows apple tree yields on a farm, with mu 38 kg and sigma 12 kg. The farm selects a random sample of 32 trees and computes x-bar. What conclusion about a normal model is most appropriate?