Answer:
a. 99.30% of the woman meet the height requirement
b. If all women are eligible except the shortest 1% and the tallest 2%, then height should be between 58.32 and 68.83
Explanation:
<em>According to the survey</em>, women's heights are normally distributed with mean 63.9 and standard deviation 2.4
a)
A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:
z-score of 58 in= 
= -2.458
z-score of 80 in= 
= 6.708
In normal distribution 99.3% of the values have higher z-score than -2.458
0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.
b)
To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the
shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326
Corresponding heights (H) can be found using the formula
and
Thus lower bound for height is 58.32 and
Upper bound for height is 68.83
Answer: Any number higher than 5. It could be 6, 7, 8 anything and you would write it like 5 < 6 or 5 < 7. Anything like that.
Explanation:
It could be anything higher than 5 because it said the team scored more than 5 points.
There are different variations in population size. The best reason why the simulation of the sampling distribution is not approximately normal is that The sample size was not sufficiently large.
<h3>What takes place if a sample size is not big enough?
</h3>
- When a sample size taken by a person or a researcher is not big or inadequate for the alpha level and also analyses that one have chosen to do, it will limit the study statistical power.
Due to the above, the ability to know a statistical effect in one's sample if the effect are present in the population is greatly reduces.
See full options below
Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
A The samples were not selected at random.
B The sample size was not sufficiently large.
с The population distribution was approximately normal.
D The samples were selected without replacement.
E The sample means were less than the population mean.
Previous question
Learn more about population size from
brainly.com/question/1279360
Answer:
530.93 units squared
Explanation:
The formula for the area of a circle is pi*r^2. The radius is half the diameter. So, 26/2 = 13.
pi*13^2 = ?
pi*169 = 530.93
The area is 530.93 units squared.
