The confidence interval of large sample is and the confidence interval of sample with 12 observation is
Further Explanation:
The confidence interval of the mean of normal distribution can be obtained as follows,
Here, is the standard normal value, represents the mean, represents the standard deviation, is the level of significance and represents the observation.
Given:
Explanation:
Part (1).
The mean of is
The standard deviation is
The number of observation is
The level of significance is
The sample size is large. Therefore, the sample can be considered as the normally distributed.
The confidence interval can be obtained as follows,
Part (2).
The mean of is
The standard deviation is
The number of observation is
The level of significance is
The degree of freedom can be obtained as follows,
The confidence interval of mean of a small sample can be obtained as follows.
The confidence interval of large sample is and the confidence interval of sample with 12 observation is
Learn more:
1. Learn more about normal distribution brainly.com/question/12698949
2. Learn more about standard normal distribution brainly.com/question/13006989
3. Learn more about confidence interval of mean brainly.com/question/12986589
Answer details:
Grade: College
Subject: Statistics
Chapter: Confidence Interval
Keywords: summary statistics, weights, confidence interval, mean, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, proportion.