Question

For a F-distribution, find f0.99(30, 40).

Answer #1

The solution to this problem is given by

Finding F critical for Variances
Use the F-distribution to find the degrees of freedon for the
numerator (d.f.N.), the degrees of freedom for the Denominator
(d.f.D.) and the critical F-value
Use the closest value when looking up the d.f.N. and d.f.D. in
the tables.
Test
alpha
α
Sample 1
Sample 2
d.f.N.
d.f.D.
F critical
Right
0.01
s12=37
n1=14
s22=89
n2=25
Two-tailed
0.10
s12=164
n1=21
s22=53
n2=17
Right
0.05
s12=92.8
n1=11
s22=43.6
n2=11

Find the linearization of the function
f(x,y)=40−4x2−2y2−−−−−−−−−−−−√f(x,y)=40−4x2−2y2 at the point (1,
4).
L(x,y)=L(x,y)=
Use the linear approximation to estimate the value of
f(0.9,4.1)f(0.9,4.1) =

X follows Poisson distribution. This distribution was randomly
sampled 40 times. The sum of these 40 numbers follows
a) Poisson distribution
b) Exponential distribution
c) Weibull distribution
d) Normal distribution

A normal distribution has μ = 30 and σ =
5.
(a) Find the z score corresponding to
x = 25.
(b) Find the z score corresponding to
x = 41.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.5.

Find the standard deviation of the distribution that has the
following probability density function:
f(x)={ 2x, 0<x<1 0, O.W.

Suppose that 40% of men over the age of 30 suffer from lower
back pain. For a random sample of 50 men over the age of 30, find
the mean and the standard error of the sampling distribution of the
sample proportion of men over the age of 30 that suffer from lower
back pain. What are Mean and Standard Error for the sample
data?

Using the given data set to answer the following questions80 60
100 40 40 50 80 90 100 60 10 80 45 60 30 80 30 90 100 60 50 75
a. find Mean, Median, Mode, Standard Deviation, and
Variance:
b. find First quartile and Third Quartile
c. Find the number which represents the 33th percentile.
d. find the percentile of 45
e. find the range and midrange
f. construct a box-plot
g. Construct a frequency distribution with 5 classes....

Find the mean of the data summarized in the given frequency
distribution. Compare the computed mean to the actual mean of 52.2
degrees.
Low Temp (°F) Frequency
40-44 1
45-49 5
50-54 11
55-59 5
60-64 2

Age
Frequency
Midpoint
f*M
f*(M-xbar)2
30-39
2
40-49
3
50-59
7
60-69
5
70-79
1
Compute the Coefficient of Variation to 2 decimal places.
Do NOT format answer: No $, Commas, %.

5. Suppose x is a random variable best described by a uniform
probability distribution with C=30 and D=110 Find P(X > 94)
6. Suppose x is a random variable best described by a uniform
probability distribution with C=40 and D=100 Find P(X < 88)
7. Suppose x is a uniform random variable with c = 30 and d =
110. Find P(x < 46).
11. High temperatures in a certain city for the month of August
follow a uniform distribution...

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