UMD Statistics Critical Region Method Questions
Description
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml).918980107991118588 The sample mean is x ? 93.8. 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.(Reference: The Merck Veterinary Manual). At a 5% level of significance, do these data indicate that Gentle Ben has an overall average glucose level higher than 85?In Section 9.1 assignment the following test was determined to be the appropriate test for this problem:?
What distribution will you use for this test? (choose standard normal z or student’s t) Calculate the sample test statistic for this test? What is the P-value for this test? (use the tables from the textbook to find this value – not an online resource – state to four decimal places.)Will you reject or fail to reject the null hypothesis? State your conclusion filling the blanks:At % level of significance (reject or fail to reject) the null hypothesis. There is (sufficient or insufficient) evidence to find that Gentle Ben’s glucose level is higher than average.
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