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A snack food producer produces small bags of peanuts labelled as containing 15 ...

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A snack food producer produces small bags of peanuts labelled as containing 15 grams. The actual weight of peanuts packaged in individual bags is Normally distributed with mean μ and standard deviation σ = 0.4 grams.  As part of quality control, n bags are selected randomly and their contents are weighed. The hypotheses of interest are Ho: μ = 15 grams, Ha: μ ≠ 15 grams.

If the inspector samples n = 25 bags and observes a sample mean weight of 15.02 grams, the Z-statistic is (in 2 decimal places).

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