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4. A shipment of 1000 small lab mice arrives at the animal care facility with a nominal weight of 10 g per mouse. A sample

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4. A shipment of 1000 small lab mice arrives at the animal care facility with a nominal weight of 10 g per mouse. A sample of 20 mice is selected and weighed. The average weight of the sample is 9.8 g. From past shipments, it is known that the standard deviation of weight among mice with a nominal weight of 10 g is 2 g. The technician wishes to test the hypothesis that the average weight of the mice matches the nominal value versus that the mice are underweight. The null and alternative hypotheses are OH, : M=10; H. : u 30, assuming that the standard deviation is unchanged when taking vitamin C. Based on these data, find the P-value of the appropriate test. (1) What is the value of the test statistic? (2) The P-value is O p = 0.2033. The observed x is not a good evidence against Ho. O p = 0.2033. The observed x is a good evidence for the company's claim. O p = 0.4066. The observed x is not a good evidence against Ho

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