In research, the objective is to gather preliminary information that will help define the problem and suggest hypotheses. analytic causal descriptive statistical exploratory

Exploratory or Formulative research

Step-by-step explanation:

Generally, Exploratory or Formulative research is a type of research that considers all designs for a problem/study and chooses the best from all that has been considered. This is ensured by perusing literature backings that are available, first hand information from those with direct impact on the study and putting to use different theoretical techniques to ensure the best is gotten from such research.

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.