the values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.481, 1.611, and 0.294, respectively. does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? carry out a test of the appropriate hypotheses at significance level 0.10. [note: a normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.]

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

Solution:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.611 respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

Let μ = true average percentage of organic matter in such soil

SO, Null Hypothesis : μ = 3% {means that the true average percentage of organic matter in such soil is equal to 3%}

Alternate Hypothesis : μ ≠ 3% {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

TS = (0.02481 - 0.03)/(0.01611)/√30

TS = 4.6% (approx)

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

To learn more about Statistics rom the given link

https://brainly.com/question/19243813

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