SOLUTION: Please help me solve this information: the sampled population is normally distributed, X - = 36.5, σ = 3, and n = 20.
a. What is the 95% confidence interval estimate for μ?
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-> SOLUTION: Please help me solve this information: the sampled population is normally distributed, X - = 36.5, σ = 3, and n = 20.
a. What is the 95% confidence interval estimate for μ?
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Question 1153956: Please help me solve this information: the sampled population is normally distributed, X - = 36.5, σ = 3, and n = 20.
a. What is the 95% confidence interval estimate for μ?
b. Are the assumptions satisfied? Explain why.
a. What is the % confidence interval estimate for ?
For % the value is
use that in this formula for the Confidence Interval
- ±
Where:
-= is the mean is the chosen -value from the table is the standard deviation is the number of observations
± ± ±
solutions:
In other words: from to
b. Are the assumptions satisfied? Explain why.
A common assumption across all inferential tests is that the observations in your sample are independent from each other, meaning that the measurements for each sample subject are in no way influenced by or related to the measurements of other subjects.
Typical assumptions are:
Normality: Data have a normal distribution (or at least is symmetric)
Homogeneity of variances: Data from multiple groups have the same variance
Linearity: Data have a linear relationship
Independence: Data are independent
Therefore, your confidence interval applies to the sample mean, not the population mean. Ideally your data should be drawn from a normally distributed population. However, sample means of large numbers of observations tend to be distributed normally, whatever the underlying distribution.
