Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you
1 answer:
You might be interested in
Using the z-distribution, we have that:
- The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
- The <u>margin of error</u> is of 0.8 in.
- The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:
The margin of error of a z-confidence interval is given by:
In which:
- z is the critical value.
is the population standard deviation.
- n is the sample size.
We have to find the critical value, which is z with a p-value of , in which
is the confidence level.
In this problem, , thus, z with a p-value of
, which means that it is z = 2.575.
Then, the margin of error is:
The <u>margin of error</u> is of 0.8 in.
The interval is:
The interpretation is:
Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.
A similar problem is given at brainly.com/question/25300297
<em>If the dog could fly, it would need to fly 147 meters to catch the helicopter</em>
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c =
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
read more about pythagoras theorem here brainly.com/question/15138986