machine in a production line fills packets of rice that are labelled as containing 5kg. The actual weights of the bags of rice is modelled by the distribution X~(μ,σ^2). When working as it should, the machine produces packets of rice with mean weight 5.05kg ( i.e. μ = 5.05). 95% of all packets have weights between 5kg and 5.1kg. The manager of the packaging plant suspects that the machine is no longer working as it should and that the mean weight of a packet is no longer 5.05kg. A sample of 10 packets is selected at random. The packets have the following weights: 5.063kg, 5.088kg, 5.077kg, 5.078kg, 5.104kg, 5.028kg, 5.050kg, 5.057kg, 5.032kg, 5.015kg Complete this hypothesis test at the 1% significance level to see if the machine is no longer performing as it should.
A machine in a production line fills packets of rice that are labelled as containing 5kg.
The actual weights of the bags of rice is modelled by the distribution X~(μ,σ^2).
When working as it should, the machine produces packets of rice with mean weight 5.05kg ( i.e. μ = 5.05).
95% of all packets have weights between 5kg and 5.1kg.
The manager of the packaging plant suspects that the machine is no longer working as it should and that the mean weight of a packet is no longer 5.05kg.
A sample of 10 packets is selected at random. The packets have the following weights:
5.063kg, 5.088kg, 5.077kg, 5.078kg, 5.104kg, 5.028kg, 5.050kg, 5.057kg, 5.032kg, 5.015kg
Complete this hypothesis test at the 1% significance level to see if the machine is no longer performing as it should.
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