The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the​ data? Use α=0.01. ​ Hours, x 0 1 2 4 4 5 5 6 7 8   Test​ score, y 45 47 52 53 62 67 73 81 85 90 LOADING... Click here to view a table of critical values for​ Student's t-distribution.       Setup the hypothesis for the test.   H0​: ρ ▼   less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Ha​: ρ ▼   less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Identify the critical​ value(s). Select the correct choice below and fill in any answer boxes within your choice. ​(Round to three decimal places as​ needed.)   A. The critical values are −t0=nothing and t0=nothing.   B. The critical value is nothing. Calculate the test statistic.   t=nothing ​(Round to three decimal places as​ needed.) What is your​ conclusion?   There ▼   is is not enough evidence at the 1​% level of significance to conclude that there ▼   is is not a significant linear correlation between hours spent studying and test score.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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The number of hours
10
students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the​ data? Use
α=0.01.
​ Hours, x
0
1
2
4
4
5
5
6
7
8
 
Test​ score, y
45
47
52
53
62
67
73
81
85
90
LOADING...
Click here to view a table of critical values for​ Student's t-distribution.
 
 
 
Setup the hypothesis for the test.
 
H0​:
ρ
 
less than or equals≤
less than<
equals=
greater than>
greater than or equals≥
not equals≠
0
Ha​:
ρ
 
less than or equals≤
less than<
equals=
greater than>
greater than or equals≥
not equals≠
0
Identify the critical​ value(s). Select the correct choice below and fill in any answer boxes within your choice.
​(Round to three decimal places as​ needed.)
 
A.
The critical values are
−t0=nothing
and
t0=nothing.
 
B.
The critical value is
nothing.
Calculate the test statistic.
 
t=nothing
​(Round to three decimal places as​ needed.)
What is your​ conclusion?
 
There
 
is
is not
enough evidence at the
1​%
level of significance to conclude that there
 
is
is not
a significant linear correlation between hours spent studying and test score.
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