Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05.
4 |
6 |
9 |
4 |
7 |
4 |
4 |
6 |
8 |
7 |
7 |
8 |
10 |
8 |
6 |
10 |
7 |
4 |
10 |
7 |
13 |
9 |
12 |
5 |
11 |
10 |
15 |
7 |
12 |
4 |
15 |
15 |
12 |
11 |
11 |
11 |
11 |
11 |
19 |
11 |
18 |
10 |
15 |
13 |
10 |
11 |
17 |
12 |
18 |
14 |
21 |
16 |
9 |
9 |
23 |
22 |
22 |
22 |
21 |
10 |
Find the test statistic for this test. t= (Round to two decimal places as needed.)
Find the p-value for this test. p= (Round to three decimal places as needed.)
What is the conclusion for this test?
Extracted text: Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,7,4,8,7,10,6,7,10,13,12,11,15,12,15,12,11,11,19,18,15,10,17,18,21,9,23,22,21 Shortboard: 6,4,4,6,7,8,8,10,4,7,9,5,10,7,4,15,11,11,11,11,10,13,11,12,14,16,9,22,22,10 LI' . pu I Find the p-value for this test. p-value = (Round to three decimal places as needed.) e3D What is the conclusion for this test? O A. Reject Ho. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders O B. Do not reject Ho. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders O C. Reject Ho. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders O D. Do not reject Hn. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders