Among 29 men ,the mean systolic blood pressure was 140 mm Hg with a standard deviation of 33. We wish to know if on the basis of these data, we may conclude that the mean systolic blood pressure for a population of men is more than 130. Assume the population distribution is normal. Use α=0.05. T-test for one population mean should be used?

True

False

True

Step-by-step explanation

In this problem, population is normal.

The number of sample is 29, therefore n<30

We don't really know the population standard deviation, since we are working from samples. To get around this, we have been using the sample standard deviation (s) s=33 as an estimate. This is not a problem if the sample size is 30 or greater because of the central limit theorem. However, if the sample is small (n<30) , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample standard deviation.

Also the first word is among, so it is a sample data set contains a part, or a subset, of a population. It means among the population data it has a standard deviation of 33. Therefore use, sample standard deviation.

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