Question

"Hikers", is a sample of ten hikers that compares the age of a hiker and the time it takes that hiker to hike a trail. You are to use this file to answer several questions.

Hiker	Age	Hours
1	24	2.7
2	32	2.9
3	47	4.0
4	40	3.8
5	26	3.0
6	53	4.2
7	38	2.5
8	35	3.3
9	44	3.6
10	40	2.8

1. Using the file "Hikers", calculate the correlation coefficient for this sample. Round your answer to four decimal places.

2. Using the file "Hikers", what is the p-value for this correlation coefficient? Round your answer to four decimal places.

3. Using the file "Hikers", determine the test statistic 't' for this correlation coefficient. Round your answer to three decimal places.

Answer 1

using minitab>stat>basic stat>correlation

we have

Correlation: Age, Hours

Pearson correlation of Age and Hours = 0.7495
P-Value = 0.0126

n=10

1. the correlation coefficient for this sample is 0.7495

2. the p-value for this correlation coefficient is 0.0126

3 ) $t =\frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}$

t= $t =\frac{0.7495\sqrt{10-2}}{\sqrt{1-0.7495^{2}}}$

t = 3.2021

the test statistic 't' for this correlation coefficient is 3.2021