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A fast-food company advertises that the pre-cooked weight for its burgers is, on average, 0.2 kg. The company runs a regular quality control test that involves weighing a sample of burgers to see if the burgers are too light or too heavy. If the sample mean weight is significantly different than 0.2 kg then they recycle the entire batch. What are appropriate hypotheses for the company's significance test? Choose 1 answer A H_(0):bar (x)=0.2kg H_(a):bar (x)neq 0.2kg (where is is the average weight of burgers in a sample) B C H_(0):mu neq 0.2kg H_(a):mu =0.2kg where mu is the average weight of all burgers in this batch) D H_(0):mu =0.2kg H_(a):mu neq 0.2kg (where mu is the average weight of all burgers in this batch)

Problemas

A fast-food company advertises that the pre-cooked weight for its burgers is, on average, 0.2 kg. The company runs a regular quality control test that involves weighing a sample of burgers to see if the burgers are too light or too heavy. If the sample mean weight is significantly different than 0.2 kg then they recycle the entire batch. What are appropriate hypotheses for the company's significance test? Choose 1 answer A H_(0):bar (x)=0.2kg H_(a):bar (x)neq 0.2kg (where is is the average weight of burgers in a sample) B C H_(0):mu neq 0.2kg H_(a):mu =0.2kg where mu is the average weight of all burgers in this batch) D H_(0):mu =0.2kg H_(a):mu neq 0.2kg (where mu is the average weight of all burgers in this batch)

A fast-food company advertises that the pre-cooked weight for its burgers is, on average, 0.2 kg. The company runs a regular quality control test that involves weighing a sample of burgers to see if the burgers are too light or too heavy. If the sample mean weight is significantly different than 0.2 kg then they recycle the entire batch. What are appropriate hypotheses for the company's significance test? Choose 1 answer A H_(0):bar (x)=0.2kg H_(a):bar (x)neq 0.2kg (where is is the average weight of burgers in a sample) B C H_(0):mu neq 0.2kg H_(a):mu =0.2kg where mu is the average weight of all burgers in this batch) D H_(0):mu =0.2kg H_(a):mu neq 0.2kg (where mu is the average weight of all burgers in this batch)

Solución

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Karinaveterano · Tutor durante 9 años
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The appropriate hypotheses for the company's significance test are:<br /><br />D $H_{0}:\mu =0.2kg$<br />$H_{a}:\mu \neq 0.2kg$<br />(where $\mu $ is the average weight of all burgers in this batch)<br /><br />Explanation:<br />In this scenario, the company wants to test if the average weight of the burgers in the batch is significantly different from 0.2 kg. The null hypothesis ($H_{0}$) should state that the average weight is equal to 0.2 kg, while the alternative hypothesis ($H_{a}$) should state that the average weight is not equal to 0.2 kg. This is because the company is interested in detecting any significant deviation from the advertised weight, whether it is higher or lower.
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