The following data set shows the number of chirps in one minute from a cricket and the temperature outside (in degrees Fahrenheit):

Chirps per Minute	Temperature
95	53.9
108	72.4
118	57.3
132	63.9
138	67.6
147	72.5
152	77.7
156	70.4
164	78.8
167	82.1

The scatterplot looks like this:

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.01 significance?

Do we have correlation?

1. Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
2. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
3. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
4. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.

________________________________________________________________

The following data set shows the ages of the Best Actress and Best Actor award at a given awards show for various years:

Actress Age	Actor Age
32	19
37	23
41	40
43	43
47	38
52	41
55	25
60	45

The scatterplot looks like this:

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.05 significance?

Do we have correlation?

1. Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
2. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
3. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
4. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.

_________________________________________________________________________

Perform rank correlation analysis on the following data set:

x	y
-4	4.3
-3.35	3.7
-2.55	2.1
-1.7	1.3
-1.1	0.4
-0.25	0.3
0.35	1.2
1.25	1.8
1.9	1.8
2.75	3.2
3.4	4.3
4.05	5
4.95	5.4
5.8	5.6

The scatterplot looks like this:

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.01 significance?

Do we have correlation?

1. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
2. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
3. Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
4. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.

_________________________________________________________________________

Perform rank correlation analysis on the following data set:

x	y
-4	-75
-3.1	-49
-2.25	-30
-1.5	-24
-0.9	13
-0.3	-4
0.6	4
1.25	-21
2.15	-8
2.85	6
3.65	18
4.45	25
5.1	53
5.95	108

The scatterplot looks like this:

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.05 significance?

Do we have correlation?

1. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
2. Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
3. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
4. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.

_________________________________________________________________________

Perform rank correlation analysis on the following data set:

x	y
-3	-0.1
-2.45	-0.1
-2.05	-0.5
-1.5	-1.8
-1.1	-1.8
-0.55	-0.3
-0.1	0.3
0.6	1.2
1.3	0.6
1.85	1.5
2.4	0.6
2.95	-0.7
3.45	-0.9
4.15	-1.5
4.7	-1.1
5.1	-1.5
5.65	-1.4

The scatterplot looks like this:

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.01 significance?

Do we have correlation?

• No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
• Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
• No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
• Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.

_________________________________________________________________________

Perform rank correlation analysis on the following data set:

x	y
-3	11.4
-2.4	13.7
-0.4	12.2
1.8	-5.7
2.5	7.8
4.2	9.5
5.8	2
7.7	-0.4
9.2	-3.5
9.7	-9.5
11.6	-16.8
13.6	-11.7
15.1	-2.7
17.3	-21.1
18.9	-24.5

The scatterplot of the data looks like this:

Fill in the following table:

x	y	x-rank	y-rank
-3	11.4	1
-2.4	13.7	2
-0.4	12.2	3
1.8	-5.7	4
2.5	7.8	5
4.2	9.5	6
5.8	2	7
7.7	-0.4	8
9.2	-3.5	9
9.7	-9.5	10
11.6	-16.8	11
13.6	-11.7	12
15.1	-2.7	13
17.3	-21.1	14
18.9	-24.5	15

What is the rank correlation coefficient? (Round to three decimal places.)

What is the critical rho value at a 0.01 significance?

Do we have correlation?

1. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
2. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
3. Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
4. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.

_________________________________________________________________________

We will rank the y-values of the following data set:

x	y
0	13
1.5	8.3
3.7	13
5.8	17.3
6.7	24.3
7.7	17.2
9.8	22.7

The scatterplot of the data looks like this:

Fill in the following table:

x	y	x-rank	y-rank
0	13	1
1.5	8.3	2
3.7	13	3
5.8	17.3	4
6.7	24.3	5
7.7	17.2	6
9.8	22.7	7

_________________________________________________________________________

We will rank the y-values of the following data set:

x	y
0	1.3
1.2	12.1
2.5	1.2
4.4	6.5
4.9	2.1
5.8	4
7	1.2
7.7	12.4

The scatterplot of the data looks like this:

Fill in the following table:

x	y	x-rank	y-rank
0	1.3	1
1.2	12.1	2
2.5	1.2	3
4.4	6.5	4
4.9	2.1	5
5.8	4	6
7	1.2	7
7.7	12.4	8

_________________________________________________________________________

We will rank the y-values of the following data set:

x	y
0	-4.1
0.5	-4.8
1.4	0.9
3.6	1.5
4.3	5.9
5.6	1.8
7.1	15.2
8.6	12.6
10.7	17.4

The scatterplot of the data looks like this:

Fill in the following table:

x	y	x-rank	y-rank
0	-4.1	1
0.5	-4.8	2
1.4	0.9	3
3.6	1.5	4
4.3	5.9	5
5.6	1.8	6
7.1	15.2	7
8.6	12.6	8
10.7	17.4	9

_________________________________________________________________________

We will rank the y-values of the following data set:

x	y
3	-0.3
4.4	-9
5.3	-12.4
6	-15
6.9	-14.2
8.8	-29.9
9.6	-32.7
10.6	-27

The scatterplot of the data looks like this:

Fill in the following table:

x	y	x-rank	y-rank
3	-0.3	1
4.4	-9	2
5.3	-12.4	3
6	-15	4
6.9	-14.2	5
8.8	-29.9	6
9.6	-32.7	7
10.6	-27	8

_________________________________________________________________________

• for loop exceeded 1000 iterations - giving up

An institute conducted a clinical trial of its methods for gender selection. The results showed that 474 of 904 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.1 significance level to test the claim that the method increased the likelihood of having a boy.

Find the null and alternative hypothesis.

H0:

1. p>0.5
2. p0.5
3. p<0.5
4. p=0.5

H1:

1. p<0.5
2. p0.5
3. p=0.5
4. p>0.5

If we consider + to represent a boy, then how many of each sign is there?

Positive Signs:

Negative Signs:

Total Signs:

What is the p-value? (Round to three decimal places.)

What is the conclusion about the null?

What is the conclusion about the claim?

_________________________________________________________________________

The table below contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 12 oz of soda. Use the sign test and a 0.025 significance level to test the claim that cans of this soda are NOT filled so that the median amount is 12 oz.

12.09	11.98	12.07	12.08
12.08	11.71	12.13	12.05
11.84	11.89	11.66	11.66
11.9	11.75	12.08	12.17
11.65	12.13	11.69	12.03
12.2	11.9	11.78	11.95
11.71	12.1	11.65	12.1

Find the null and alternative hypothesis.

H0:

1. Median volume<12
2. Median volume12
3. Median volume=12
4. Median volume>12

H1:

1. Median volume12
2. Median volume<12
3. Median volume>12
4. Median volume=12

If we consider + to represent a can having more than 12 oz. of soda, then how many of each sign is there?

Positive Signs:

Negative Signs:

Total Signs:

What is the p-value? (Round to three decimal places.)

What is the conclusion about the null?

What is the conclusion about the claim?