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It is believed that the mean glucose level reading for horses should be of 11:85 my] 100 mL, with the standard deviation 0:115. Over the last 8 weeks, 8 samples of glucose reading were taken from a horse named Joe, with the sample mean 22:93.8, where x denotes the random variable that represents the glucose reading taken from Joe. At 5% significance level, is there sufficient evidence that Joe has mean glucose level higher than 85 ? Suppose that the glucose reading is normally distributed. a. [1.5 points] What are the null Hypothesis, alternate hypothesis, and level of significance ? b. [1 point] Is this test a left-tailed test, or right-tailed test or two-tailed test ? c. [1.5 noints] Check if the followin- needed re - uirements are satisfied or not. Write \"Yes\" or \"No\" below. Is the sample coming from simple random sampling? Is the population from which the sample is drawn normally distributed, or is sample size n 2 30 ? I Is no: the population mean value, provided to us ? d. [2+1+1=4 points] Find the test statistic here. Sketch the P value area here. Find the P value here. e. [1 point] Compare the level of significance or with the P value. What is your conclusion? f. [1 point] Interpret your result