Question

Given a normal distribution with μ =100 and σ =8, and given you select a sample of n=16, complete parts (a) through (d). a. What is the probability that Upper X overbar is less than 95?

Answer #1

Solution :

Given that ,

mean = = 100

standard deviation = = 8

= / n = 8 / 16 = 2

P( < 95) = P(( - ) / < (95 - 100) / 2)

P(z < -2.5)

= 0.0062

Probability = **0.0062**

Given a normal distribution with
μ=50
and
σ=5,
and given you select a sample of
n=100,
complete parts (a) through (d).
a. What is the probability that X is less than 49?
P(X<49)=
b. What is the probability that X is between 49 and 51.5?
P(49<X<51.5)=
c. What is the probability that X is above 50.9?
P(X>50.9)=
d. There is a 30% chance that X is above what value?
X=

Given a normal distribution with μ = 103 σ= 25 you select a
sample of n = 25. What is the probability that X overbar is greater
than 104? P(Xoverbar>104) =

Given a normal distribution with muequals103 and sigmaequals25,
and given you select a sample of n equals 25, complete parts (a)
through (d).
d. There is a 63% chance that Upper X overbar is above what
value?

Given a normal distribution with μ= 101 and σ = 20, and given
you select a sample of equals =16
What is the probability that X is above 102.6?
P (X > 102.6) =

Given a normal distribution with μ=100 and σ=10, complete parts
(a) through (d).
a. What is the probability that X>80?
(Round to four decimal places as needed.)
b. What is the probability that X<95?
(Round to four decimal places as needed.)
c. What is the probability that X<75 or X>110?
(Round to four decimal places as needed.)
d. 80% of the values are between what two X-values
(symmetrically distributed around the mean)?
(Round to two decimal places as needed.)

Given a normal distribution with
mu=103
and
sigma?=15 ,
and given you select a sample of
n=9
What is the probability that
Upper X overbarX
is less than
95 ?

Given a normal distribution with
muμequals=105
and
sigmaσequals=20,
and given you select a sample of
n equals 16n=16,
complete parts (a) through (d).Click here to view page 1 of
the cumulative standardized normal distribution table.
LOADING...
Click here to view page 2 of the cumulative standardized normal
distribution table.
LOADING...
a. What is the probability that
Upper X overbarX
is less than
9292?
P(Upper X overbarXless than<9292)equals=. 0047.0047
(Type an integer or decimal rounded to four decimal places as
needed.)...

For a normal distribution where μ= 100 and σ= 10, What is the
probability of:
a. P(X>80)
b. P(95<X<105)
c. P(X<50)
d. P(X>100)
e. P(X<90 y X>110)
f. P(X>135)

1) A sample is obtained from a population with μ = 35 and σ = 8.
Which of the following samples would produce the z score
closest to 0?
A sample (n = 36) with M = 33.5
A sample (n = 16) with M = 37
A sample (n = 64) with M = 33
A sample (n = 100) with M = 36
2) A sample obtained from a population with σ = 30 has a
standard error...

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) =

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