I want you to conduct a hypothesis test for a difference
of means for cholesterol levels between male and female students.
There are 148 females and 164 males in our
sample. You can treat this as a large
sample problem and use z-values for confidence intervals and
hypothesis tests (however, Excel uses a t-value in anything it
calculates). The output from Microsoft Excel is given below to
help. Your job will be to find the right numbers in the output to...
Testing: H 0 : μ = 67.9 H 1 : μ > 67.9 Your sample consists
of 24 subjects with ¯ x = 83.7 giving the resulting test statistic
of 1.625 . Assume that σ is unknown when conducting the hypothesis
and your testing at the 0.01 significance level. Find the p-value
based upon the test statistic given. P-value = Round the p-value to
four decimals.
2. Suppose that we want to test for the difference between two
population means. Explain under what conditions we would use the
t-test and under what conditions we would use the z-test. Explain
the differences between the two tests.
Type all your answers. Try to write at least
one page
1) Define a sequence of polynomials H n (x ) by H 0 (x )=1, H 1
(x )=2 x , and for n>1 by H n+1 (x )=2 x H n (x )−2 n H n−1 (x )
. These polynomials are called Hermite polynomials of degree n.
Calculate the first 7 Hermite polynomials of degree less than 7.
You can check your results by comparing them to the list of Hermite
polynomials on wikipedia (physicist's Hermite polynomials).
2)...
Hypothesis Test for Difference in Population Means (σσ
Unknown)
You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. We will assume that
the population variances are not equal.
You obtain a sample of size n1=14n1=14 with a mean of
M1=78.1M1=78.1 and a standard deviation of SD1=5.6SD1=5.6 from the
first population. You obtain a sample of size...
You want to test your hypothesis below:
There is a difference in mean test
scores between two classes: Class 1 vs. Class 2
Provide your answers in the template below the data set.
class 1
class 2
15
15
23
12
22
17
18
17
19
19
18
17
15
17
19
18
16
13
21
20
15
19
14
21
20
21
23
14
19
19
17
17
17
17
21
18
7
13
16
20
14
19...
1. What is the difference between a test of independent means
and a test of matched means?
2. How would I calculate a test of matched means? what is
the“matched” means?
3. Do you think both these tests ( a test of independent means
and a test of matched means) are reasonable? Fair? Why or why not?
Common concerns might be assumptions of the test being met, the
practicality of the test, etc.
Use
the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to find
a. The derivative of f(x) = x + (30/x)
b. The derivative of f(x) = 3x^2- 5x + 30