At 7 p.m. the wind-chill temperature was 4°F. By 10 p.m., it had fallen 11
1 answer:
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Answer:
a) By the Central Limit Theorem, 16%.
b) 0.0367 = 3.67%
c) We expect 16% orange candies, give or take 3.67%.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For samples of size n of a proportion p, the expected sample percentage is p and the standard error is
In this problem, we have that:
a. What value should we expect for our sample percentage of orange candies?
By the Central Limit Theorem, 16%.
b. What is the standard error?
0.0367 = 3.67%
c. Use your answers to fill in the blanks below. We expect ____% orange candies, give or take _____%.
We expect 16% orange candies, give or take 3.67%.
Answer:
629.92
Step-by-step explanation:
The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.
The volume of one tennis ball, V =
where r = radius of the tennis ball
The diameter of a ball = 6.7 cm
Its radius will be = 6.7 / 2 = 3.35 cm
Volume, V, will be:
V = 157.48
Hence, the volume of 4 balls will be:
4 * V = 4 * 157.48 = 629.92
The minimum volume that the cylindrical can has to have is 629.92 .
Answer:
- The mean length of 10 children's big finger is 8.1 cm
Average length of all the 10 children's finger is (8.1×10) cm = 81 cm.
- The mean length of 11 adult's big finger is 14.1 cm
Average length of all the 11 adult's big finger is (14.1×11) cm =155.1
- Mean length of these 21 people's big finger is
- Hence, <em><u>11.24</u></em> is the right answer.