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A company making pet food has been accused of selling underweight bags of food. The food bags are supposed to have a mean weight of 600g. A sample of 6 was weighed and the results were; 

\n

605, 612, 580, 590, 602, 595 

\n

Is there any evidence that the mean weight is less than 600g? Use a suitable hypothesis test at 5% significance level.

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Which one is the correct null hypothesis?

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H0:µ≠600g

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H0:µ=600g

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H0:µ>600g

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H0:µ<600g

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Which one is the correct alternative hypothesis?

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H1:µ≠600g

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Calculate sample standard deviation to 3 decimal places.

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Calculate test statistics to 3 decimal places.

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What is the decision for the test?

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