Chapter 9, Problem T9.2SPT

To determine

To find: the correct option of the following statements.

Answer to Problem T9.2SPT

You can safely carry out the test if your sample size is at least 30.

Explanation of Solution

The conditions for conduction a one- sample $t$ test are: Random, 10% and Normal/ Large sample.

1. False, as a result of the Normal/ Large sample can still be satisfied if the sample is large (even if the sample doesn’t have a Normal distribution).
2. False, as a result of outliers powerfully have an affect on the sample mean and sample standard deviation, which will then also affect the results of the test (as it uses the sample mean and sample standard deviation).
3. False, as a result of the graph ought to show about to normal distribution and a non- skewed distribution is not essentially approximately a normal distribution.
4. False, as a result of if the population standard deviation is known, and then uses the one-sample $z$ test instead of the one −sample $t$ test.
5. True, as a result of once the sample size is at least 30 then the sample is taken into account to be large therefore then the Normal/Large sample condition is satisfied.

Hence, the correct option is (e)