Question: Suppose we select a random sample of 258 widgets from two manufacturing plants (129 widgets from each plant) the obtain the weight (measured in kg)

Suppose we select a random sample of 258 widgets from two manufacturing plants (129 widgets from each plant) the obtain the weight (measured in kg) of each widget. The table below displays the sample mean weight and sample standard deviation weight of the widgets selected at each plant.

Sample Size (n) Sample Mean (kg) Sample SD (kg)
Plant 1 129 107.6 1.3
Plant 2 129 123.6 2.0

1. We wish to determine if this data provides compelling evidence for concluding that the true average widget weight at manufacturing plant 2 exceeds that of manufacturing plant 1 by more than 10 kg. Enter the p-value which would be used test this hypothesis. Round your answer to two decimal points.

2. What is the 99% CI for the difference between the true average weights?

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