Question

For each question, create an approximate 95% CI and then decide
whether the null hypothesis should be rejected.

a.

H_{0}: *μ* = 50

*x*=52.1

standard error of *x* = 3.3

(round your answers to 1 decimal place)

The approximate 95% CI for *μ* is _________ to
_________.

The result of the hypothesis test is what?

( ) Reject H_{0}, because the null value is inside the
95% CI.

( ) Reject H_{0}, because the null value is outside the
95% CI.

( ) Fail to reject H_{0}, because the null value is
inside the 95% CI.

( ) Fail to reject H_{0}, because the null value is
outside the 95% CI.

b.

H_{0}: *μ* = -2

*x*=-2.44

standard error of *x* = 0.76

(round your answers to 2 decimal place)

The approximate 95% CI for *x* is _________ to _________
.

The result of the hypothesis test is what?

( ) Reject H_{0}, because the null value is inside the
95% CI.

( ) Reject H_{0}, because the null value is outside the
95% CI.

( ) Fail to reject H_{0}, because the null value is
inside the 95% CI.

( ) Fail to reject H_{0}, because the null value is
outside the 95% CI.

c.

H_{0}: *μ*_{1} - *μ*_{2} =
0

*x*_{1} = 80443, *x*_{2} =
91398

standard error of *x*_{1} - *x*_{2} =
1710

The approximate 95% CI for *μ*_{1} -
*μ*_{2} is _________ to _________ .

The result of the hypothesis test is what?

( ) Reject H_{0}, because the null value is inside the
95% CI.

( ) Reject H_{0}, because the null value is outside the
95% CI.

( ) Fail to reject H_{0}, because the null value is
inside the 95% CI.

( ) Fail to reject H_{0}, because the null value is
outside the 95% CI.

Answer #1

For each question, create an approximate 95% CI and then decide
whether the null hypothesis should be rejected.
a.
H0: μ = 50
x=58.4
standard error of x = 3.7
(round your answers to 1 decimal place)
The approximate 95% is ___ to __
The result of the hypothesis test is:
Reject H0, because the null value is inside the 95%
CI.
Reject H0, because the null value is outside the 95%
CI.
Fail to reject H0, because the null...

H0: μ1 - μ2 = 0
x1 = 81849, x2 = 88021
standard error of x1 - x2 = 1430
The approximate 95% CI for μ1 - μ2
is to (_____, ______)
The result of the hypothesis test is:
a)Reject H0, because the null value is inside the 95%
CI.
b)Reject H0, because the null value is outside the
95% CI.
c)Fail to reject H0, because the null value is inside
the 95% CI.
d)Fail to reject H0, because the null...

H0: μ = -2
x=-2.48
standard error of x = 0.64
(round your answers to 2 decimal place)
The approximate 95% CI for x is to (______,
________)
The result of the hypothesis test is:
a)Reject H0, because the null value is inside the 95%
CI.
b)Reject H0, because the null value is outside the
95% CI.
c)Fail to reject H0, because the null value is inside
the 95% CI.
d)Fail to reject H0, because the null value is
outside the...

A "sleep habits" survey answered by 46 randomly selected New
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a. This null hypothesis should be formally written as: (You have
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H0: μdifference = 8
H0: μ...

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Group 2 watch a 5 minute video of other people successfully
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Researchers are interested in testing against the null hypothesis
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A 95% CI for a population mean is 30±3.22.
(a) Can you reject the
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NO or CANNOT TELL):
(b) Can you reject the
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NO or CANNOT TELL):
(c) In general, you
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The owner of two stores tracks the times for customer service in
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population standard deviations. (This is rare.)
Population 1 has standard deviation σ1=σ1= 4.5
Population 2 has standard deviation σ2=σ2= 4.5
The populations are normal. Use alph=0.05alph=0.05
Use the claim for the alternate hypothesis.
Service time store 1
174
184
170
174
174
189
174
179
176...

A "sleep habits" survey answered by 48 randomly selected New
Yorkers contained the question "How much sleep do you get per
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sample standard deviation of 0.82 hours. We want to test against
the null hypothesis that New Yorkers get, on average, 8 hours of
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b. The t test statistic is: _______ (Round your answer to 3 decimal
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c. The approximate 95% CI is: ______ to...

Is there a relationship between confidence intervals and
two-tailed hypothesis tests? Let c be the level of
confidence used to construct a confidence interval from sample
data. Let α be the level of significance for a two-tailed
hypothesis test. The following statement applies to hypothesis
tests of the mean.
For a two-tailed hypothesis test with level of significance
α and null hypothesis H0: μ =
k, we reject H0 whenever
k falls outside the c = 1 – α
confidence...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
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σ2 = 4
had a sample mean of
x2 = 15.
Test the claim that the population means are different. Use
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(a) Check Requirements: What distribution does the sample test
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