The Sugar Producers Association Wants to Estimate the Mean Yearly

question 81

Multiple Choice

The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 27 kg with a sample standard deviation of 9 kg. Assume a normal population. Develop a 95% confidence interval for the mean annual consumption of sugar.

• A) 23.06 to 30.94
• B) 22.21 to 31.79
• C) 20.37 to 33.63
• D) 23.30 to 30.70
• E) 23.0 to 30.0

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Definitions:

Population Means

The average values of a trait or measurement within a given population.

Standard Error

The standard deviation of the sampling distribution of a statistic, commonly used to measure how accurately a sample represents a population.

Null Hypothesis

The hypothesis that there is no significant difference or effect, and any observed difference is due to sampling or experimental error.

Normally Distributed

Refers to a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.