Question

In a controlled laboratory environment a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below.

Simple Mean Simple Variance
Adults(Population 1) 77.5°F 4.5
Childerns(Population 2) 74.5°F 2.5

If the psychologist wished to test the hypothesisthat children prefer warmer room temperature than adults, which hypothesis would he use?

Answer 1

The psychologist would use a hypothesis test to determine if children prefer warmer room temperature than adults.

Step-by-step explanation:

The psychologist would use a hypothesis test to determine whether children prefer warmer room temperature than adults. This can be done by comparing the mean temperature preferences of both groups and conducting a hypothesis test.

The null hypothesis (H0) would be that there is no difference in the room temperature preferences between children and adults. The alternative hypothesis (Ha) would be that children prefer warmer room temperature than adults.

The psychologist can collect the data from the random samples of 10 adults and 10 children and analyze it using a statistical test, such as a t-test or a z-test, to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.