Answer:
58.33%.
Step-by-step explanation:
We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.
First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.
We can see that our data set has 6 data points and 2.9 is 4th data point.
We will use percentile rank formula to solve our problem.
, where,
P= Percentile rank,
i= Rank of the data point,
n = Total number of data points.
Upon substituting our given values we will get,
Therefore, percentile rank for the value 2.9 is 58.33%.
Answer:
For this case we want to test if do men give higher monetary donations than women in the month of December (alternative hypothesis) and the complement should be the null hypothesis. So then the sytem of hypothesis are:
Null hypothesis:
Alternative hypothesis :
So then the best option would be:
d. Ha: mum -muw > 0
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if do men give higher monetary donations than women in the month of December (alternative hypothesis) and the complement should be the null hypothesis. So then the sytem of hypothesis are:
Null hypothesis:
Alternative hypothesis :
So then the best option would be:
d. Ha: mum -muw > 0