Instruction 10-12 Two Samples Each of Size 25 Are Taken from Independent

question 76

Short Answer

Instruction 10-12
Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances.The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0.
-Referring to Instruction 10-12,what is the 90% confidence interval estimate for the difference in the two means?

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Definitions:

Standard Error

A measure that quantifies the variation or dispersion of sample means relative to the true population mean.

Variance

A measure of the spread or dispersion within a set of data points, calculated as the average of the squared differences from the mean.

Sampling Distribution

The probability distribution of a given statistic based on a random sample.

Sample Size

The number of observations or data points collected in a sample from a larger population.