Given that n = 31 data points are collecting when studying the relationship between average daily temperature and timespent sleeping, use the critical values table below to determine if a calculated value of r =-0.324 is significant or not.CV (+ and -)0.3040.2730.2500.2320.2170.2050.195df405060708090100df CV (+ and0.9970.9500.8780.8110.7540.7070.6660.6320.6020.576df CV (+ and - dfCV (+ and -)0.5550.5320.5140.4970.4820.4680.4560.4440.4330.4230.4130.4040.3960.3880.3810.3740.3670.3610.3550.3491223413232425262728293015161718192010Select the correct answer below:

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Asked Apr 23, 2019
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Select the correct answer below:

 
r is significant because it is between the positive and negative critical values.
 
r is not significant because it is between the positive and negative critical values.
 
r is significant because it is not between the positive and negative critical values.
 
r is not significant because it is not between the positive and negative critical values.
Given that n = 31 data points are collecting when studying the relationship between average daily temperature and time
spent sleeping, use the critical values table below to determine if a calculated value of r =-0.324 is significant or not.
CV (+ and -)
0.304
0.273
0.250
0.232
0.217
0.205
0.195
df
40
50
60
70
80
90
100
df CV (+ and
0.997
0.950
0.878
0.811
0.754
0.707
0.666
0.632
0.602
0.576
df CV (+ and - dfCV (+ and -)
0.555
0.532
0.514
0.497
0.482
0.468
0.456
0.444
0.433
0.423
0.413
0.404
0.396
0.388
0.381
0.374
0.367
0.361
0.355
0.349
12
2
3
4
13
23
24
25
26
27
28
29
30
15
16
17
18
19
20
10
Select the correct answer below:
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Given that n = 31 data points are collecting when studying the relationship between average daily temperature and time spent sleeping, use the critical values table below to determine if a calculated value of r =-0.324 is significant or not. CV (+ and -) 0.304 0.273 0.250 0.232 0.217 0.205 0.195 df 40 50 60 70 80 90 100 df CV (+ and 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 df CV (+ and - dfCV (+ and -) 0.555 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.355 0.349 12 2 3 4 13 23 24 25 26 27 28 29 30 15 16 17 18 19 20 10 Select the correct answer below:

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Expert Answer

Step 1

State the appropriate hypothesis:

The hypotheses are given below:

Null hypothesis:

H0 : ρ = 0

That is, there is no significant relationship between the variables.

Alternative hypothesis:

H1 : ρ ≠ 0 (Two tail test).

That is, there is a significant relationship between the variables.

Step 2

Given information:

The sample size is n = 31,

The sample correlation coefficient is r = –0.324.

The degrees of freedom is d.f = n –2 = 31–2 = 29.

Step 3

Obtain the critical value:

The critical value is obtained from the given table, by using the following procedure:

  • Locate the value 29 in the column, named f.
  • Move towards the right along the row of 29, and find the value corresponding to the column, named CV(+ and &n...

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