Question

- Let the random variable X follow a distribution with a mean of
μ and a standard deviation of σ. Let X1 be the mean of a sample of
n
_{1}(n_{1}=1) observations randomly chosen from this population, and X2 be the mean of a sample of n_{2}( n_{2 =49}) observations randomly chosen from the same population. Which of the following statement is False? Evaluate the following statement.

* P*(

Answer #1

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Suppose X is a random variable with with expected value -0.01
and standard deviation σ = 0.04.
Let
X1,
X2, ...
,X81
be a random sample of 81 observations from the distribution of
X.
Let X be the sample mean. Use R to determine the
following:
Copy your R script
b) What is the approximate probability that
X1 +
X2 + ...
+X81 >−0.02?

Let x be a continuous random variable that has a normal
distribution with μ=85 and σ=12. Assuming n/N ≤ 0.05, find the
probability that the sample mean, x¯, for a random sample of
18taken from this population will be between 81.7 and 90.4.
Round your answer to four decimal places.

X1, X2, ... ,
X38 is a random sample from a distribution with
mean μ = 1.41 and variance σ2 = 5.34.
1. Find μx, the mean of the sample average.
2. Find σ2x, the variance
of the sample average.
3. Find P(X ≤1.79).
4. Find P(X >1.79).
5. Find P(0.66 < X≤ 1.55).

Let X1,...,Xn be a sample drawn from a normal population with
mean μ and standard deviation σ. Find E[X ̄S2].

Let the random variable X follow a Normal distribution with
variance σ2 = 625.
A random sample of n = 50 is obtained with a sample mean, X-Bar
of 180.
What is the probability that μ is between 198 and 211?
What is Z-Score1 for μ greater than 198?

For
Questions 6 - 8, let the random variable X follow a Normal
distribution with variance σ2 = 625.
Q6. A random sample of n = 50 is obtained with a sample mean, X-Bar
of 180.
What is
the probability that population mean μ is greater than 190?
a.
What is Z-Score for μ greater than 190 ==>
b.
P[Z > Z-Score] ==>
Q7. What
is the probability that μ is between 198 and 211?
a. What
is Z-Score1 for...

Let X be a random variable with a mean distribution of mean μ =
70 and variance σ2 = 15.
d) Imagine a symmetric interval around the mean (μ ± c) of the
distribution described above. Find the value of c such that the
probability is about 0.2 that X is in this interval.
Please explain how to get the answer

A random variable X is normally distributed. It has a mean of
254 and a standard deviation of 21.
List the givens with correct symbols:
? (σ N X̄ μ s X p n) = 254
? (X̄ n σ s X p μ N) = 21
a) If you take a sample of size 21, can you say what the shape of
the sampling distribution for the sample mean is?
? Yes No
Why or why not? Check all...

X is a normal random variable with mean μ and standard
deviation σ. Then P( μ− 1.2 σ ≤ X ≤ μ+ 1.9 σ) =?
Answer to 4 decimal places.

Suppose the random variable X follows a normal distribution with
mean μ=52 and standard deviation σ=10.
Calculate each of the following.
In each case, round your response to at least 4 decimal
places.
a) P(X < 41) =
b) P(X > 61) =
c) P (47 < X < 67) =

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