7) Bonnie and Katie buy some Better Burner brand microwave popcorn in the 25-bag Extra Value Pack

Subject:MathPrice:2.86 Bought5

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7) Bonnie and Katie buy some Better Burner brand microwave popcorn in the 25-bag Extra Value Pack. This brand claims perfect popcorn with a mean popping time of 4 minutes, and cites studies which show that all brands of microwave popcorn have normally distributed popping times with standard deviation σ = 0.7 minutes. Before sampling the 25 bags of popcorn themselves, they pop all 25 bags in their sample and compute a mean popping time = 3.7 minutes.

Is this significant evidence that the true mean popping time really is different from (not equal to) 4 minutes?

Set up appropriate null and alternative hypotheses, calculate the appropriate test statistic, find the P-value, and state your conclusion (use α = .05).