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ONE SAMPLE TEST & CONFIDENCE INTERVAL One sample test - large population (n>30), 1. A coffee shop manager reads that the preferred temperature for coffee among the K.L population is 35 degrees Celsius with a standard deviation of 2 degrees. However, the manager doesn't believe this is true of his customers. Through complex and extensive testing, the manager finds that a random sample of 50 of his customers prefer their coffee, on average, to be 37.5 degrees Celsius. Calculate the z-test statistic for this case and make a conclusion based on 0.05 alpha level. 2. A pineapple farmer read that he can get an average of 10 kg per row, with a standard deviation of 1 kg. The farmer suspects she won't get quite so much fruit because growing conditions aren't entirely right. The farmer identifies a random sample of 100 rows and keeps careful track of how much fruit each row gives. At the end of the season, the farmer finds that the average yield for each of the row in her sample was 10.9 pounds of fruit. Assume that the farmer conducts a z-test of a single population mean. What is the conclusion based on significant level of 0.05.One sample test - small sample (n