# Statistics: Null and alternate hypotheses

If given the following hypothesis:

Ho: the mean is less than or equal to 10

H1: the mean is greater than 10

For a random sample of 10 observations, the sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:

1. State the decision rule.

2. Compute the value of the test statistic.

3. What would be the decision regarding the null hypothesis?

https://brainmass.com/statistics/hypothesis-testing/statistics-null-and-alternate-hypotheses-115976

#### Solution Preview

Null and alernate hypothesis If given the following hypothesis:

Ho: the mean is less than or equal to 10

H1: the mean is greater than 10

For a random sample of 10 observations, the sample mean was 12 and the sample ...

#### Solution Summary

This solution provides explanations and calculations for a decision rules, test statistics, and decision regarding a null hypothesis.

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