7. Two surfers and statistics students collected data on the number of days on w
ID: 3060531 • Letter: 7
Question
7.
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for
3030
longboard (L) users and
3030
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
0.050.05.
Longboard:
4 comma 8 comma 9 comma 4 comma 9 comma 7 comma 9 comma 6 comma 6 comma 11 comma 13 comma 12 comma 10 comma 15 comma 13 comma 16 comma 12 comma 10 comma 12 comma 18 comma 20 comma 15 comma 10 comma 15 comma 19 comma 21 comma 9 comma 22 comma 19 comma 234,8,9,4,9,7,9,6,6,11,13,12,10,15,13,16,12,10,12,18,20,15,10,15,19,21,9,22,19,23
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 :4,8,9,4,9,7,9,6,6,1 1,1 3, 12, 10, 151316,12,10. 12,18,20.15,10.15,19,21,9,22, 1923 Shortboard: 6,4,4,6,7,7,7,10,4,6,7,5,8,9,4,15,13,9,12,11,12,13,9,11,13,15,9,19,20,11 Determine the hypotheses for this test. Choose the correct answer below Find the test statistic for this test. t= | | (Round to two decimal places as needed.)Explanation / Answer
The statistical software output for this problem is:
Two sample T hypothesis test:
1 : Mean of Longboard
2 : Mean of Shortboard
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)
Hypothesis test results:
Hence,
Hypotheses: Option F is correct.
t = 2.44
p - Value = 0.009
Conclusion: Option A is correct.
Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 3.0333333 1.2451438 55.233005 2.4361309 0.009Related Questions
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