Question

A distribution of values is normal with a mean of 130 and a standard deviation of 27. From this distribution, you are drawing samples of size 31.

Find the interval containing the middle-most 84% of sample means:

Enter your answer using interval notation in the form (a,b). In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using z-scores rounded to 2 decimal places are accepted.

Answer #1

A distribution of values is normal with a mean of 65.2 and a
standard deviation of 7.4.
Find P32, which is the score separating the
bottom 32% from the top 68%.
P32 =
Enter your answer as a number accurate to 1 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

A distribution of values is normal with a mean of 187.9 and a
standard deviation of 20.4. Find P10, which is the score separating
the bottom 10% from the top 90%. P10 = Enter your answer as a
number accurate to 1 decimal place. Answers obtained using exact
z-scores or z-scores rounded to 3 decimal places are accepted.

1. A distribution of values is normal with a mean of 70.8 and a
standard deviation of 50.9.
Find the probability that a randomly selected value is less than
4.6.
P(X < 4.6) =
2. A distribution of values is normal with a mean of 66 and a
standard deviation of 4.2.
Find the probability that a randomly selected value is greater than
69.4.
P(X > 69.4) =
Enter your answer as a number accurate to 4 decimal places. Answers...

1.)
A distribution of values is normal with a mean of 240 and a
standard deviation of 8.
Find the interval containing the middle-most 84% of scores:
Enter your answer accurate to 1 decimal place using interval
notation. Example: (2.1,5.6)
Hint: To work this out, 1) sketch the distribution, 2) shade the
middle 84% of the data, 3) label unkown data values on the
horizontal axis just below the upper and lower ends of the shaded
region, 4) calculate the...

A distribution of values is normal with a mean of 160 and a
standard deviation of 5.
Find the interval containing the middle-most 32% of scores:
Enter your answer accurate to 1 decimal place using interval
notation. Example: (2.1,5.6)
Hint: To work this out, 1) sketch the distribution, 2) shade the
middle 32% of the data, 3) label unkown data values on the
horizontal axis just below the upper and lower ends of the shaded
region, 4) calculate the percentage...

A population of values has a normal distribution with
μ
=
156.2
μ
=
156.2
and
σ
=
84
σ
=
84
. You intend to draw a random sample of size
n
=
138
n
=
138
.
Find the probability that a single randomly selected value is
greater than 168.4.
P(X > 168.4) =
Find the probability that a sample of size
n
=
138
n
=
138
is randomly selected with a mean greater than 168.4.
P(M...

A distribution of values is normal with a mean of 90 and a
standard deviation of 8.
Find the interval containing the middle-most 32% of
scores:

A population of values has a normal distribution with
μ=144.2μ=144.2
and
σ=96.9σ=96.9.
You intend to draw a random sample of size
n=47n=47.
Find
P35,
which is the mean separating the bottom 35% means from the top 65%
means.
P35
(for sample means) =
Enter your answers as numbers accurate to 1 decimal place. Answers
obtained using exact
z-scores
or
z-scores
rounded to 3 decimal places are accepted.

A population of values has a normal distribution with
μ=65.3μ=65.3 and σ=42.4σ=42.4. You intend to draw a random sample
of size n=242n=242.
Find P34, which is the mean separating the
bottom 34% means from the top 66% means.
P34 (for sample means) =
Enter your answers as numbers accurate to 1 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

A population of values has a normal distribution with
μ=87.4μ=87.4 and σ=41σ=41. You intend to draw a random sample of
size n=106n=106.
Find P6, which is the mean separating the
bottom 6% means from the top 94% means.
P6 (for sample means) =
Enter your answers as numbers accurate to 1 decimal place. Answers
obtained using exact z-scores or z-scores rounded
to 3 decimal places are accepted.

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