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Problem: Heights were measured for a random sample of 11 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 35 centimeters and 8 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 42 centimeters? Use the 0.05 level of significance. Perform a two-tailed test. Then answer the following.
Required:
Question 1: What is the null hypothesis?
Question 2: What is the alternate hypothesis?
Question 3: What type of statistical test is this?
Question 4: What is the value of the test statistic? (round to 3 decimals)
Question 5: What is the p Value? round 3 decimals
Question 6: At the 0.05 level of significance can it be conclude that the population mean height of the treated plants is different than 42 cm.?
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