Can I gt some help on these questions!

1.Research subjects that are divided up based on gender, age, etc. to be compared to people of the same group is what type of design experiment?

2. A biologist collects a sample of 50 snakes. The snakes have a mean length of 25 cm with a standard deviation of 5 cm. If the mean length for the population of snakes is 27 cm, what is the probability of a sample having a mean length less than 27?

3. A sample of size 35 is taken from a uniformly distributed population. The mean of the population is 40 and the standard deviation is 3. Find the standard deviation of the sample.

Please help me with these!

Of course! I'd be happy to help you with these questions. Here's how you can find the answers:

1. The research design mentioned in the first question is called "between-subjects design" or "between-groups design." In this type of experiment, different subjects or groups are assigned to different conditions or treatments, and their outcomes are compared. To get more information about this design, you can do some research on experimental designs in psychology or social sciences.

2. To find the probability of a sample having a mean length less than 27, we can use the concept of the sampling distribution of the mean. The sampling distribution of the mean follows a normal distribution when the sample size is sufficiently large (according to the Central Limit Theorem). With a sample size of 50, we can assume the sampling distribution of the mean is approximately normally distributed.

To calculate the probability, we need to use the z-score formula:
z = (sample mean - population mean) / (standard deviation / square root of sample size)

In this case, the sample mean is 25 cm, the population mean is 27 cm, and the standard deviation is 5 cm.

z = (25 - 27) / (5 / √50) ≈ -0.894

To find the probability associated with this z-score, you can use a standard normal distribution table or a calculator. For example, you can use an online z-score calculator or a statistical software program to find the probability of a z-score being less than -0.894.