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X A A herd of 1500 cattle was fed a special high-protein grain for a month. A random sample of 30 cattle was weighed and

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X A A herd of 1500 cattle was fed a special high-protein grain for a month. A random sample of 30 cattle was weighed and had gained an average of 7.3 pounds. If the standard deviation of weight gain for the entire herd is 5.2 pounds, test the hypothesis that the average weight gain per cow for the month was more than 7 pounds. Null Hypothesis: Ho: H = 7 Alternative Hypothesis: Ha: H > 7 (a) Calculate the test statistic. (Round your answer to two decimal places.) Z = (b) Calculate the P-value. (Use a table or technology. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? O We would reject the null hypothesis. This means that on the basis of the evidence, you can conclude that the mean amount of weight gain was more than 7 pounds per month. We would fail to reject the null hypothesis. This means that on the basis of the evidence, you can conclude that the mean amount of weight gain was more than 7 pounds per month. We would reject the null hypothesis. This means that on the basis of the evidence, you cannot conclude that the mean amount of weight gain was more than 7 pounds per month. O We would fail to reject the null hypothesis. This means that on the basis of the evidence, you cannot conclude that the mean amount of weight gain was more than 7 pounds per month. MY NOTES ASK YOUR T 5 Points] DETAILS

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