Question

A sample of n=14 observations is drawn from a normal population with μ=1030 and σ=200. Find each of the following:

A. P(X¯>1110)

Probability =

B. P(X¯<944)

Probability =

C. P(X¯>997)

Probability =

THANK YOU!!

Answer #1

The second image is the output in R.

A sample of n=15 observations is drawn from a normal population
with μ=1060 and σ=150. Find each of the following:
A. P(X¯>1137)
Probability =
B. P(X¯<982)
Probability =
C. P(X¯>1009)
Probability =

A sample of n=23 observations is drawn from a normal population
with μ=960 and σ=160. Find each of the following:
A. P(X¯>1013)
I have a general idea of how to get the z- score, but am having
trouble moving forward from there.

A sample of ?=14n=14 observations is drawn from a normal
population with ?=990μ=990 and ?=210σ=210. Find each of the
following:
A. ?(?¯>1113)P(X¯>1113)
Probability =
B. ?(?¯<877)P(X¯<877)
Probability =
C. ?(?¯>967)P(X¯>967)
Probability =

A sample of ?=24
observations is drawn from a normal population with ?=1000 and
?=240. Find each of the following:
A. ?(?¯>1097)
Probability =
B. ?(?¯<906)
Probability =
C. ?(?¯>990)
Probability =

A random sample of n=36 observations is drawn from a population
with a mean equal to 60 and a standard deviation equal to 36.
a. Find the probability that x? is less than 48 ____
b. Find the probability that x? is greater than 63____
c. Find the probability that x? falls between 48 and 78 ____

A population of values has a normal distribution with μ = 249.8
μ=249.8 and σ = 13.6 σ=13.6 . You intend to draw a random sample of
size n = 179 n=179 .
Find the probability that a single randomly selected value is
greater than 249.4.
P(X > 249.4) =
Find the probability that a sample of size n=179n=179 is
randomly selected with a mean greater than 249.4.
P(M > 249.4) =

A population of values has a normal distribution with μ=137.5
and σ=14.4. A random sample of size n=142
is drawn.
Find the probability that a single randomly selected value is
between 136 and 140.6. Round your answer to four decimal
places.
P(136<X<140.6)=
Find the probability that a sample of size n=142 is randomly
selected with a mean between 136 and 140.6. Round your answer
to four decimal places.
P(136<M<140.6)=

A population of values has a normal distribution with μ=110.1
and σ=57.6. A random sample of size n=183
is drawn.
Find the probability that a single randomly selected value is
between 117.3 and 122.9. Round your answer to four decimal
places.
P(117.3<X<122.9)=
Find the probability that a sample of size n=183 is randomly
selected with a mean between 117.3 and 122.9. Round your answer
to four decimal places.
P(117.3<M<122.9)=

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

A population of values has a normal distribution with μ=64 and
σ=63.6. A random sample of size n=24 is drawn.
Find the probability that a single randomly selected value is
between 25.1 and 57.5. Round your answer to four
decimal places. to find answer
P(25.1<X<57.5)=
Find the probability that a sample of size n=24 is randomly
selected with a mean between 25.1 and 57.5. Round your
answer to four decimal places. to find answer
P(25.1<M<57.5)=

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