(d) What is the correct conclusion of this hypothesis test at the 0.07 significance level? O There is sufficient evidence to support the claim that the mean difference is less than 29.3 O There is not sufficient evidence to warrant rejection the claim that the mean difference is less than 29.3 O There is sufficient evidence to warrant rejection the claim that the mean difference is less than 29.3 O There is not sufficient evidence to support the claim that the mean difference is less than 29.3 Submit Question с

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
The two data sets in the table below are dependent random samples. The population of (x - y)
differences is approximately normally distributed. A claim is made that the mean difference (x - y) is
less than 29.3.
X
y
DII
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t="
before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value = -2.760
61 71 58 48
38 41
(b) Use your calculator to find the P-value of this test.
P-value
$
4
44 48 66
43 32 30 29 33
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If
there are two critical values, then list them both with a comma between them.
Critical value(s) = -1.700
(d) What is the correct conclusion of this hypothesis test at the 0.07 significance level?
O There is sufficient evidence to support the claim that the mean difference is less than 29.3
O There is not sufficient evidence to warrant rejection the claim that the mean difference is less than
29.3
R
F
0.0164
O There is sufficient evidence to warrant rejection the claim that the mean difference is less than
29.3
O There is not sufficient evidence to support the claim that the mean difference is less than 29.3
Submit Question
F4
%
5
T
G
J
F5
A
6
Y
H
&
7
U
F7
8
PrtScn
1
F8
K
Home
(
9
End
0
F10
PgUp
F11
Transcribed Image Text:The two data sets in the table below are dependent random samples. The population of (x - y) differences is approximately normally distributed. A claim is made that the mean difference (x - y) is less than 29.3. X y DII For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. (a) Calculate the value of the test statistic used in this test. Test statistic's value = -2.760 61 71 58 48 38 41 (b) Use your calculator to find the P-value of this test. P-value $ 4 44 48 66 43 32 30 29 33 (c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If there are two critical values, then list them both with a comma between them. Critical value(s) = -1.700 (d) What is the correct conclusion of this hypothesis test at the 0.07 significance level? O There is sufficient evidence to support the claim that the mean difference is less than 29.3 O There is not sufficient evidence to warrant rejection the claim that the mean difference is less than 29.3 R F 0.0164 O There is sufficient evidence to warrant rejection the claim that the mean difference is less than 29.3 O There is not sufficient evidence to support the claim that the mean difference is less than 29.3 Submit Question F4 % 5 T G J F5 A 6 Y H & 7 U F7 8 PrtScn 1 F8 K Home ( 9 End 0 F10 PgUp F11
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill