Question

1. If the coefficient of correlation is 0.17, the percentage of variation in the dependent variable explained by the estimated regression equation is _____

Select one:

a. 17.00%

b. 97.11%

c. 2.89%

d. 0.03%

2. Given a data set with *n* = 10 observations,
containing one independent variable, **find the critical
value for an F-test** at α = 2.5% significance.

**Show your answer with four decimal places.**

**3. Hypotheses test for two samples.**

Two samples are randomly selected from normal populations. The
sample statistics are given below.

n_{1} =
18
n_{2} = 13

_{1} = 535 _{2} = 520

s_{1} =
40
s_{2} = 25

Use α = 0.01 to test the hypothesis that μ_{1} >
μ_{2}.

Select one:

a. critical value t_{c} = ±2.763; standardized test
statistic t = 1.282; fail to reject H_{0}

b. critical value t_{c} = -1.313; standardized test
statistic t = -1.282; reject H_{0}

c. critical value t_{c} = ±2.771; standardized test
statistic t = -1.282; reject H_{0}

d. critical value t_{c} = 2.467; standardized test
statistic t = 1.282; fail to reject H_{0}

Answer #1

1.
Test the hypothesis:
Population appears to be normally distributed.
Given the sample statistics n = 20, = 8.2, and s = 1.2,
find the critical value(s) tcr and
test statistic t for testing the claim μ = 8.6 at
significance α = 10%.
Then, state the conclusion of this hypothesis test.
Select one:
tcr = 1.729, t ≈ 1.491, fail to reject
H0
tcr = 1.328, t ≈ 1.491, reject H0
tcr = −1.328, t ≈ −1.491, reject H0
tcr...

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with correlation coefficient r = 0.841. Test this claim at the 95%
confidence level. Select one for each blank.
(a) Hypotheses:
H0: [r, rho, x, mu] [=, >=, <=, >, >] 0
Ha: [r, rho, x, mu] [=, >=, <=, >, <] 0
(b) Type of test: [Two sided, Right sided, Left sided]
(c)...

home / study / math / statistics and probability / statistics
and probability questions and answers / 23. construct a 95%
confidence interval for data sets a and b. data sets a and b are
dependent. ...
Question: 23. Construct a 95% confidence interval for data sets
A and B. Data sets A and B are dependent. ...
23. Construct a 95% confidence interval for data sets A and B.
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An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
α = 0.01?
Dose
Antidote
5
10
15
1
0.6
1.1
1.1
2.1
1.5
6.2
3.1
4.1
5.9
2
1.1
1.2
1.1
1.7
1.3
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Generally, the average typing speed is 54 words per minute (wp).
A professor wanted to see where his students stand compared to the
population. He tested 28 of his students and obtained the following
estimates: an average typing speed of 46 with a standard deviation
of 18. What can the professor conclude with α = 0.01?
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test
b)
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Peach Tree University (PTU) coaches want to know if Victorville
University's (VU's) offensive line weighs different than their
offensive line. The weight of randomly selected offensive line
players from each team are below. What can the coaches conclude
with α = 0.01?
PTU
VU
309
297
310
285
295
321
312
310
308
309
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test
b)
Condition 1:
---Select--- VU Offensive Line PTU Offensive Line...

(a) Write the claim mathematically and identify H0 and Ha.
(b) Find the critical value(s) and identify the rejection
region(s).
(c) Find the standardized test statistic.
(d) Decide whether to reject or fail to reject the null
hypothesis.
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found their real estate agent through a friend. At α=0.06, can you
reject the claim that 43% of home buyers find their real estate
agent through a friend?
(a)...

A public health official hypothesizes that depression levels in
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17 produces a mean BDI score of 14.4. What can be concluded with α
= 0.10?
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related-samples t-test
b)
Population:
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Conduct the stated hypothesis test for μ 1− μ 2. μ 1−
μ 2. Assume that the samples are independent and randomly selected
from normal populations with equal population
variances ( σ 12= σ 22)( σ 12= σ 22).
H0 : μ 1− μ 2=0H0 : μ 1− μ 2=0
H1 : μ 1− μ 2 < 0H1 : μ 1− μ 2 <
0
α =0.025 α =0.025
n1=27n1=27
x̄ 1=8.76 x̄ 1=8.76
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An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
α = 0.01?
Dose
Antidote
5
10
15
1
0.6
1.1
1.1
2.1
1.5
6.2
3.1
4.1
5.9
2
1.1
1.2
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1.7
1.3
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2.1
3.1
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