Question

A distribution of values is normal with a mean of 80 and a
standard deviation of 22. From this distribution, you are drawing
samples of size 34.

Find the interval containing the middle-most 36% of sample
means:

Enter answer using interval notation. In this context, either
inclusive or exclusive intervals would be acceptable. Your numbers
should be accurate to 1 decimal places. Answers obtained using
exact *z*-scores or *z*-scores rounded to 3 decimal
places are accepted.

Answer #1

*From Z-table, Lookup for Z-value corresponding to
area 0.32 to the left of the normal curve.*

*From Z-table, Lookup for Z-value corresponding to
area 0.32 to the right of the normal curve.*

*The interval containing the middle-most 36% of
sample means: _{
}*

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.

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...

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 = 245.6
and σ = 59.3 . You intend to draw a random sample of size n = 21.
Find P91, which is the mean separating the bottom 91% means from
the top 9% means. P91 (for sample means) = 100.42
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=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=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.

Apply the Central Limit Theorem for Sample
Means
A population of values has a normal distribution with μ=77 and
σ=9.2. You intend to draw a random sample of size n=30.
Find the probability that a sample of size n=30n=30 is randomly
selected with a mean less than 76.8.
P(M < 76.8) =
Enter your answers as numbers accurate to 4 decimal places.
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=107μ=107
and σ=44σ=44. You intend to draw a random sample of size
n=94n=94.
Find P12, which is the score separating the
bottom 12% scores from the top 88% scores.
P12 (for single values) =
Find P12, which is the mean separating the
bottom 12% means from the top 88% means.
P12 (for sample means) =
Enter your answers as numbers accurate to 1 decimal place. Answers
obtained using exact z-scores or...

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