Question

1) Determine the following areas under the standard normal
(*z*) curve.

a) Between -1.5 and 2.5

2) Consider babies born in the "normal" range of 37–43 weeks
gestational age. A paper suggests that a normal distribution with
mean *μ* = 3500 grams and standard deviation *σ* =
599 grams is a reasonable model for the probability distribution of
the continuous numerical variable * x* = birth
weight of a randomly selected full-term baby.

a) How would you characterize the most extreme 0.1% of all full-term baby birth weights? (Round your answers to the nearest whole number.) The most extreme 0.1% of birth weights consist of those greater than ____ grams and those less than ____ grams.

b) If *x* is a random variable with a normal distribution
and *a* is a numerical constant (a ≠ 0), then y = ax also
has a normal distribution. Use this formula to determine the
distribution of full-term baby birth weight expressed in pounds
(shape, mean, and standard deviation), and then recalculate the
probability from part (d). (Round your answer to four decimal
places.)

3) The two intervals (114.7, 115.9) and (114.4, 116.2) are
confidence intervals (computed using the same sample data) for
*μ* = true average resonance frequency (in hertz) for all
tennis rackets of a certain type.

a) What is the value of the sample mean resonance frequency? (Hint: Where is the confidence interval centered?) ______ Hz

Answer #1

Consider babies born in the "normal" range of 37–43 weeks
gestational age. A paper suggests that a normal distribution with
mean
μ = 3500 grams
and standard deviation
σ = 527 grams
is a reasonable model for the probability distribution of the
continuous numerical variable
x = birth weight
of a randomly selected full-term baby.
(a)
What is the probability that the birth weight of a randomly
selected full-term baby exceeds 4000 g? (Round your answer to four
decimal places.)...

Consider babies born in the "normal" range of 37–43 weeks
gestational age. A paper suggests that a normal distribution with
mean μ = 3500 grams and standard deviation σ =
512 grams is a reasonable model for the probability distribution of
the continuous numerical variable x = birth weight of a
randomly selected full-term baby.
(a) What is the probability that the birth weight of a randomly
selected full-term baby exceeds 4000 g? (Round your answer to four
decimal places.)...

ELABORATE EXPLANATIONS PLEASEE
2) Consider babies born in the "normal" range of 37–43 weeks
gestational age. A paper suggests that a normal distribution with
mean μ = 3500 grams and standard deviation σ = 610 grams is a
reasonable model for the probability distribution of the continuous
numerical variable x = birth weight of a randomly selected
full-term baby.
a) What is the probability that the birth weight of a randomly
selected fullterm baby exceeds 4000 g?
b) What is...

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