Asked by Aikunduz Baltabaeva on May 26, 2024
Verified
Is it likely that the population mean weight for a large batch of chickens is 3.5 pounds when a sample size of 35 yields a sample mean weight of 3.3 pounds? The population standard deviation for this breed of chicken is known to be 0.22 pounds.Use a 95% confidence interval.
Population Mean
The average of all the values in a population. It is a parameter that describes the central tendency of the entire population.
Sample Mean
The average of all values in a subset of a population, used as an estimate of the population mean.
Population Standard Deviation
The square root of the variance of a group, measuring how far individual measurements in the population deviate from the population mean.
- Understand the concept of confidence intervals and their application in estimating population parameters from sample data.
- Apply statistical methods to calculate confidence intervals under different conditions and with different levels of certainty.
- Analyze statistical outcomes to interpret the likelihood of population parameters being within a certain range based on sample data.
Verified Answer
LB
LaShanda BrewingtonMay 31, 2024
Final Answer :
No,it is not likely.3.5 pounds is not in the interval 3.227 - 3.373 pounds,from the confidence interval of 3.3 ± 0.0729,from a margin of error of 1.96 ∗ 
,found using z = 1.96 for 95% confidence.
,found using z = 1.96 for 95% confidence.
Learning Objectives
- Understand the concept of confidence intervals and their application in estimating population parameters from sample data.
- Apply statistical methods to calculate confidence intervals under different conditions and with different levels of certainty.
- Analyze statistical outcomes to interpret the likelihood of population parameters being within a certain range based on sample data.