# Test a hypothesis

Heights were measured for a random sample of 17 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 43 centimeters and 10 centimeters, respectively.

Assume that the population of heights of treated plants is normally distributed with mean M. Based on the sample, can it be concluded that M is different from 45 centimeters? Use the 0.05 level of significance.

Perform a two-tailed test. Then fill in the table below.

The null hypothesis is:

The alternative hypothesis is:

The type of test statistics: z, t, chi square, f

The result of the test statistics (rounded to at least three decimals)

The p-value(rounded to at least three decimals)

© BrainMass Inc. brainmass.com June 3, 2020, 8:00 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/120510

#### Solution Preview

Heights were measured for a random sample of 17 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 43 centimeters and 10 centimeters, ...

#### Solution Summary

The solution consists of a detailed explanation of testing a hypothesis using a 5-step procedure.