Question

1. Assume that adults have IQ scores that are normally distributed with a mean of 104.3 and a standard deviation of 23.8. Find the probability that a randomly selected adult has an IQ greater than 147.0. The probability that a randomly selected adult from this group has an IQ greater than 147.0 is..

2. Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 0.9 in. Find UpperP90. That is, find the hip breadth for men that separates the smallest 90% from the largest 10%.

The hip breadth for men that The hip breadth for men that separates the smallest 90% from the largest 10% is P90= in.

3. Assume that adults have IQ scores that are normally distributed with a mean of 101.4 and a standard deviation17.

Find the first quartile Upper Q1, which is the IQ score separating the bottom 25% from the top 75%.

4. Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of μ=24.9 in. and a standard deviation of σ=1.1in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01. Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 27.0 in. significantly high?

Back-to-knee lengths greater than...in. and less than.. in. are not significant, and values outside that range are considered significant. (Round to one decimal place as needed.)

please answer the 4 questions.

Answer #1

Assume that adults have IQ scores that are normally distributed
with a mean 105 and standard deviation of 20. a. Find the
probability that a randomly selected adult has an IQ less than 120.
b. Find P90 , which is the IQ score separating the bottom 90% from
the top 10%. show work

Assume that adults have IQ scores that are normally distributed
with a mean of 96.3 and a standard deviation 23.1 Find the first
quartile , which is the IQ score separating the bottom 25% from
the top 75%. (Hint: Draw a graph.)

Assume that adults have IQ scores that are normally distributed
with a mean of 101 and a standard deviation 24. Find the first
quartile Upper Q 1, which is the IQ score separating the bottom
25% from the top 75%.

Assume that adults have IQ scores that are normally distributed
with a mean of 96.2 and a standard deviation 19.2. Find the first
quartile Upper Q 1, which is the IQ score separating the bottom
25% from the top 75%. (Hint: Draw a graph.)

Engineers want to design seats in commercial aircraft so that
they are wide enough to fit
9999%
of all males. (Accommodating 100% of males would require very
wide seats that would be much too expensive.) Men have hip
breadths that are normally distributed with a mean of
14.814.8
in. and a standard deviation of
1.11.1
in. Find
Upper P 99P99.
That is, find the hip breadth for men that separates the
smallest
9999%
from the largest
11%.

Assume that adults have IQ scores that are normally distributed
with a mean of 101.2 and a standard deviation 23.6 Find the first
quartile Upper Q 1Q1, which is the IQ score separating the bottom
25% from the top 75%. (Hint: Draw a graph.) The first quartile
is

Assume that adults have IQ scores that are normally distributed
with a mean of
102.7
and a standard deviation
20.9
Find the first quartile
Upper Q 1
which is the IQ score separating the bottom 25% from the top
75%. (Hint: Draw a graph.)
The first quartile is?

Assume that adults have IQ scores that are normally distributed
with a mean of 103.9 and a standard deviation 24.9. Find the first
quartile Upper Q 1, which is the IQ score separating the bottom
25% from the top 75%. (Hint: Draw a graph.) The first
quartile

Assume that adults have IQ scores that are normally distributed
with a mean of 100 and a standard deviation of 15. For a randomly
selected adult, find the probability. Round scores to nearest whole
number.
1.) Prob. of IQ less than 85
2.)Prob. of IQ greater than 70
3.) Prob. of randomly selected adult having IQ between 90 and
110.

Assume that adults have IQ scores that are normally distributed
with a mean of 102.9 and a standard deviation of 15.1 Find the
probability that a randomly selected adult has an IQ greater than
119.8

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