Suppose That 100 Items Are Drawn from a Population of Manufactured

question 32

Multiple Choice

Suppose that 100 items are drawn from a population of manufactured products and the weight,X,of each item is recorded.Prior experience has shown that the weight has a non-normal probability distribution with $\mu$ = 8 ounces and $\sigma$ = 3 ounces.Which of the following is true about the sampling of $\bar { X }$ ?

• A) Its mean is 8 ounces.
• B) Its standard error is 0.3 ounces.
• C) Its shape is approximately normal.
• D) All of these choices are true.

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Definitions:

Upper Confidence Bound

The upper limit of a confidence interval, indicating the highest value that, with a certain level of confidence, is believed to encompass the true parameter.

Population Means

The averages of different populations, providing a measure of central tendency for each population's data.

Large Samples

Refers to datasets that are sufficiently large to enable statistically meaningful analysis, often used to achieve more accurate estimates of population parameters.

Lower Confidence Bound

The lower limit of a confidence interval, indicating the smallest value that, based on the data, might be considered a plausible estimate of a parameter.