You are competing in a race. the table shows
2 answers:
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Answer:
Step-by-step explanation:
Given that the height in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.
X is N(64, 2.8)
Or Z =
a) the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.
b)
c) For 4 women to be height 260 inches is equivalent to
4x will be normal with mean (64*4) and std dev (2.8*4)
4x is N(266, 11.2)
d) Z is N(0,1)
E(Z19) =
since normal distribution is maximum only between 3 std deviations form the mean on either side.
We have that
y=x²<span>+5x+3
y=</span>√(<span>2x+5)
using a graph tool
see the attached figure
the solution is
x=-0.175
y=2.156
therefore
the answer is the option
</span>B.) (-0.2, 2.1)
y=x²<span>+5x+3
y=</span>√(<span>2x+5)
using a graph tool
see the attached figure
the solution is
x=-0.175
y=2.156
therefore
the answer is the option
</span>B.) (-0.2, 2.1)
Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- Sample of 100, hence
The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:
By the Central Limit Theorem
Z = 2:
The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213