MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
I need help on these T/F questions.
Transcribed Image Text:If the TRUE variance of the sampling distribution was known, then it
would be appropriate to use a t- distribution to construct confidence
intervals for the mean.
1
Yes
No
A "statistically significant" result is one that is unlikely under assump-
True
False
tions we made about the theoretical world.
Suppose that we are interested in testing the following hypotheses about
a proportion: Ho : p = 0.4 versus H. : p< 0.4. Some data are collected
and the value of the test statistic is 1.2. Should the conclusion at
Yes
No
a = 0.05 be to reject Ho?
To construct an 80% confidence interval for a population proportion
using a random sample of size meeting the Success- Failure condition,
you use the normal distribution table. Write the Z-value
Anecdotal evidence is useful for statistical inference.
Replication in the context of design of an experiment is ensuring the True False
study can be repeated by other investigators.
Blinding is the practice of making the assigned treatment unknown to
experimental units and/or the person administering the treatment.
Two events A and B are independent if P(A|B) = P(B).
The t confidence interval for the true mean is robust to minor deviations
4
True
False
7
True
False
8
True
False
9.
True False
from the Normal distribution.
10 Even if the null hypothesis were true, if you carry out a test repeatedly True
with independent random samples of the same size, you will reject the
null hypothesis a x 100% (where a is the significance level) of the time.
11 For the linear regression y = bo+ bịlog10(x), if x is divided by 10, then
y increases by b1.
12 If X is a random variable, then Var(X) is also a random variable.
13 For proportions measured in two related groups, the formula for the True | False
95% confidence interval for p1 – P2 is ĝi – P2 ±1.96/
False
True
False
True
False
P1 (1-p1)
P2(1-p2)
n2
14 The statement "The regression line passes through the point (7, j) " is True False
always true.
15 On 31 observational units you obtained measurements on a pair of
variables X and Y. You fitted a linear regression model. To test a
hypothesis on the slope (B1) of Y on X, you use a t-statistic which
follows a t-distribution under Ho : B1 = 0. What is the degrees of
freedom of this t-distribution?
16 Suppose we flipped a beer cap 10, 000 times and observed that the red True
side of the cap came up 5141 times. We can use a binomial model with
n = 10,000 and p = 0.5141 to draw statistical inference as this is the
true model for the flipping a beer cap experiment.
False
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