Food inspectors need to estimate the level of contaminants in food products packaged at a certain factory. Initial tests were based on a small sample but now the inspectors double the sample size for a follow-up test. The main purpose of the larger sample is to: a) decrease the standard deviation of the sampling model b) reduce confounding due to other variables c) decrease the variability in the population d) reduce non-response bias e) reduce response bias

(A) Decrease the standard deviation of the sampling model

Explanation:

Food inspection refers to the Examination of foodstuffs to ensure healthy and clean goods free of unhealthy microbes or chemical pollution, natural or additive deleterious substances and decomposition during growth, processing, packaging. The Food inspectors runs tests on foodstuffs to make sure its healthy for human consumption.

Initial tests were based on a small sample but now the inspectors double the sample size for a follow-up test, these was done to check if there would be a difference between the two test, or if they are equal(mean).

The test decrease the standard deviation of the sampling model.

a) decrease the standard deviation of the sampling model

Explanation:

Food inspectors need to estimate the level of contaminants in food products packaged at a certain factory. Initial tests were based on a small sample but now the inspectors double the sample size for a follow-up test. The main purpose of the larger sample is to decrease the standard deviation of the sampling model.

If assumptions of independance and random sampling are met., and the sample size is large enough, the sampling distribution of the sample mean is modeled by Normal model with a mean equal to the population mean ,and a standard deviation.

Hence option A is the best possible answer.

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