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(1 point) Suppose you want to test the claim the the paired sample data given below...

(1 point) Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is
μ
d
=0
μ
d
=
0
.
x
y
60
69
76
64
79
77
57
88
63
67
51
85
73
60


x
60
76
79
57
63
51
73
y
69
64
77
88
67
85
60
Use a
0.01
0.01
significance level to find the following:
(a)
The mean value of the differnces
d
d
for the paired sample data
d
⎯
⎯
⎯
=
d
¯
=
-7.29
(b)
The standard deviation of the differences
d
d
for the paired sample data
s
d
=
s
d
=

(c)
The t test statistic
t=
t
=

(d)
The positive critical value
t=
t
=

(e)
The negative critical value
t=
t
=

(f)
Does the test statistic fall in the critical region?


A. No

B. Yes

(g)
Construct a
99
99
% conficence interval for the population mean of all differences
x−y
x
−
y
.
<
μ
d
<
<
μ
d
<
math   Statistics-And-Probability   
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Answer #1

(Please round the values to the required number of decimal places.)

(a) The mean value of the differences = -7.29
(b) The standard deviation of the differences = 18.97116
(c) t = -1.0161
(d) The positive critical value =

(e) The negative critical value =

(f) No, it does not.
(g) 99% confidence interval = (-33.86954, 19.29811)

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