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.
What is the null hypothesis?
What is the alternate hypothesis?
What type of statistical test is this?
What is the value of the test statistic? (round to 3 decimals)
What is the p Value? round 3 decimals
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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