For each of the following data sets, carry out a one-tailed
t-test, with α = 0.05,...
For each of the following data sets, carry out a one-tailed
t-test, with α = 0.05, and the alternative hypothesis ????????: U1
> U2
In each case, give the p-value (if applicable) or explain why
the data are inconsistent with the alternative hypothesis. State
whether or not the null hypothesis is rejected.
a) Sample 1: n=10 , mean= 10.8
Sample 2: n= 10, mean= 10.5 df= 18 SE= 0.23
b) Sample 1: n= 100, mean 750
Sample 2: n=100, mean=...
Consider the following hypothesis test. Given that n = 79, = 7,
x = 45.1, and...
Consider the following hypothesis test. Given that n = 79, = 7,
x = 45.1, and
= 0.05, complete parts a through
H0: ≤43 HA: >43
a. State the decision rule in terms of the critical value(s) of the
test statistic.
Reject the null hypothesis if the calculated value of the test
statistic, (1)
the critical value(s), . Otherwise, do not reject the null
hypothesis.
(Round to two decimal places as needed. Use a comma to separate
answers as needed.)...
1.) Using the level of significance of .10, test the
claim that the average number of...
1.) Using the level of significance of .10, test the
claim that the average number of classes skipped by CLC students is
less than 5. The sample data used to test the claim is as
follows:
2, 3, 6, 4, 1, 1, 7, 4, 3, 2, 0, 5, 0, 1, 2, 4, 0, 3, 6, 1, 3, 2,
2
Find the mean (=average(data))
Find sample standard deviation
(=stdev.s(data))
Find the test value using TTest on your
calculator.
Find the p-value...
Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 ...
Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 9
3 7
Assuming that the regression equation is y=3.519 + 1.142x and
that the SSE= 1.5755, test to determine if the slope is not equal
to zero using a=0.05.
Test statistic=
identify the critical values=
and last state the conclusion
Hours, x Test score, y
0 43
1 43
2 55
4 48
4 62
5 ...
Hours, x Test score, y
0 43
1 43
2 55
4 48
4 62
5 70
5 75
6 84
7 83
8 93
The number of hours
ten
students spent studying for a test and their scores on that test
are shown in the table. Is there enough evidence to conclude that
there is a significant linear correlation between the data?
Use
alphaαequals=0.01
Setup the hypothesis for the test.
Identify the critical value(s). Select the correct choice below...
An engineer wished to test two recyclable materials to compare
their suitability for making tyres. She...
An engineer wished to test two recyclable materials to compare
their suitability for making tyres. She tested two materials, A and
B, on the left and right rear positions of ten tractors. The wear
on the tread was measured in millimetres of wear, with a lower
number indicating less wear. The results are shown in the following
table:
Tractor 1 2 3 4 5 6 7 8 9 10
Material A 13.2 8.2 10.9 14.3 10.7 6.6 9.5 10.8 8.8...
(4) Prove that, if A1, A2, ..., An are countable sets, then A1 ∪
A2 ∪...
(4) Prove that, if A1, A2, ..., An are countable sets, then A1 ∪
A2 ∪ ... ∪ An is countable. (Hint: Induction.)
(6) Let F be the set of all functions from R to R. Show that |F|
> 2 ℵ0 . (Hint: Find an injective function from P(R) to F.)
(7) Let X = {1, 2, 3, 4}, Y = {5, 6, 7, 8}, T = {∅, {1}, {4},
{1, 4}, {1, 2, 3, 4}}, and S =...
Consider these data sets:
I: 1, 3, 2, 2, 5, 4, 4, 3, 3
II: 1,...
Consider these data sets:
I: 1, 3, 2, 2, 5, 4, 4, 3, 3
II: 1, 2, 4, 1, 2, 5, 2, 5, 1, 5, 5, 3
(a) Find the mean and median for each set. Show your work.
(b) Find variance and standard deviation for each set. Show your
work.
(c) Would you be surprised to hear someone claim that these data
were drawn from the same population? (Hint: Draw a histogram for
each set. Compare the shapes.)
For each of the following sets X and collections T of open
subsets decide whether the...
For each of the following sets X and collections T of open
subsets decide whether the pair X, T satisfies the axioms of a
topological space. If it does, determine the connected components
of X. If it is not a topological space then exhibit one axiom that
fails.
(a) X = {1, 2, 3, 4} and T = {∅, {1}, {1, 2}, {2, 3}, {1, 2, 3},
{1, 2, 3, 4}}.
(b) X = {1, 2, 3, 4} and T...