The Amount of Tea Leaves in a Can from a Production

question 88

Short Answer

The amount of tea leaves in a can from a production line is normally distributed with $\mu = 110$ grams and $\sigma = 25$ grams.A sample of 25 cans is to be selected.What is the probability that thesample mean will be less than 100 grams?

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Central Limit Theorem

A statistical theory stating that, given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples will be approximately equal to the mean of the population, with the samples approximating a normal distribution.

Statistical Inference

The process of drawing conclusions about population properties based on a sample taken from the population.

Sample Proportion

The fraction or percentage of items in a sample that exhibit a particular trait or characteristic.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a dataset differ from the mean.