Question

a. We are testing H_{0}: μ_{1} - μ_{2} =
0. Our 95% confidence interval is (-23.95,-7.41).

We should expect the t-statistic to be _____( greater than 2 /between 0 and 2/ between 0 and -2 /less than -2) .

We should expect the p-value to be _______ (less than .05/
greater than .05/ equal to .05).

We should ______(reject /fail to reject) H_{0}
and conclude that the group 1 population average is _____(smaller/
larger) than the group 2 population average.

It is possible that we could be making a _____ (Type I /Type II
error).

b. We are testing H_{0}: μ = 15. Our t statistic is
1.53.

We can tell that in our sample, the sample average was _____(greater/ less than )15.

We should expect the 95% confidence interval to _______ (include /exclude) 15.

We should expect the p-value to be ______( less than .05 /greater than .05 /equal to .05)

We should _______( reject /fail to reject )H_{0}.

It is possible that we could be making a _____(Type I /Type II) error.

Answer #1

a.

We are testing H_{0}: μ_{1} - μ_{2} = 0.
Our 95% confidence interval is (-23.95,-7.41).

We should expect the t-statistic to be **less than
-2**

We should expect the p-value to be **less than
.05**.

We should **reject** H_{0} and conclude
that the group 1 population average is **smaller**
than the group 2 population average.

It is possible that we could be making a **Type
I.**

b.

We are testing H_{0}: μ = 15. Our t statistic is
1.53.

We can tell that in our sample, the sample average was
**greater than** 15.

We should expect the 95% confidence interval to
**include** 15.

We should expect the p-value to be **greater than
.05.**

We should **fail to reject** H_{0}.

It is possible that we could be making a **Type
II** error**.**

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...

1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X
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A. 0.90 B. 0.10 C. 0.05 D. 0.01
2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X
>¯ 1.645, given n = 36 and σ = 6. What...

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sleep per night. α=0.05.
a. This null hypothesis should be formally written as: (You have
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H0: μdifference = 8
H0: μ...

Consider the following hypothesis test.
H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
The following results are for two independent samples taken from
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Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 25.7
x2 = 22.8
σ1 = 5.7
σ2 = 6
(a)
What is the value of the test statistic? (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 80
n2 = 70
x1 = 104
x2 = 106
σ1 = 8.4
σ2 = 7.5
(a)
What is the value of the test statistic? (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)...

Each question below has multiple correct answers, and you must
select all correct answers and no incorrect answers for full
credit. You have 5 attempts per question.
a. Suppose we are testing H0: μ1 -
μ2 = 0, and we commit a Type II error. Which of the
following statements are true, assuming we use α = 0.05? Select all
that apply.
We reject H0We FTR H0The p-value is
greater than 0.05The p-value is less than 0.05μ1 =
μ2μ1 ≠...

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
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We are testing the hypothesis
H0:p=.75
Ha:p<.75
for the # the proportion of people who find an enrollment
website “easy to use.” The test will be based on a simple random
sample of size 400 and at a 1% level of significance. Recall that
the sample proportion vary with mean p and standard deviation
= sqroot( p(1-p)/n)
You shall reject the null hypothesis if
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a) Find the probability of a type...

Q2. This question is testing your understanding of some
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(a) Suppose we are performing a one-sample t test at the
10% level of significance where the
hypotheses are H0 : µ = 0 vs H1 : µ =/ 0. The number of
observations is 15. What is the critical value?
(b) Suppose we are performing a one-sample t test with
H0 : µ...

Ho p(greater than and equal to) .15
H p( less than) .15
z= -1.176
p value =.1190 > .05
so we fail to reject our null hypothesis.
95% confidence interaval = .1387 (plus minus) .01886015
between 12% and 15.76%
when would the consortium make a type 1 error? When would the
consortium make a type II error? In addition to a narrative
explanation of these types of errors, also create a table to help
in the understanding of these types...

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