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# Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5.Do these data satisfy the assumptions for inference? Explain.

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Given:

\begin{align*} n&=\text{Sample size}=6 \\ c&=\text{Confidence level}=95\%=0.95 \end{align*}

Conditions $t$-procedures: Random sample, Independence (10% condition), Sampling distribution of the sample mean is approximately normal.

• Random sample: Satisfied, assuming that the sample is a random sample (or is representative of the population).
• Independence: Satisfied, because the 6 bags are less than 10% of all bags.
• Normal: Satisfied, because the pattern in the normal probability plot below is approximately normal. Thus all conditions are satisfied, assuming that the sample is a random sample (or is representative of the population).

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