from this horse in mg 100 ml The sample mean is x 94 50 Let x be a random variable representing glucose readings taken from

Question

from this horse in mg 100 ml The sample mean is x 94 50 Let x be a random variable representing glucose readings taken from Gentle Ben We may assume that x has a normal distribution and we know from past experience that 12 5 The mean glucose level for horses should be 85 mg 100 ml Do these data indicate that Gentle Ben has an overall average glucose level higher than 85 Use a 0 05 95 90 84 103 101 110 86 87 a What is the level of significance 0 05 State the null and alternate hypotheses in mg 100 ml Enter for as needed Ho 85 H 85 Will you use a left tailed right tailed or two tailed test left tailed Oright tailed Otwo tailed X b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution with known Compute the z value of the sample test statistic Round your answer to two decimal places X O We ll use the Student s t since we assume that x has a normal distribution with known o We ll use the Student s t since n is large with unknown o We ll use the standard normal since we assume that x has a normal distribution with unknown c Find the P value Round your answer to four decimal places P value X O Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 0 1 2 3 3 2 1 0 1 2 3 OM 3 2 1 3 2 1 0 1 0 1 2 2 3 3

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