8. Hydrologic planning and design for small drainage areas are important focal points of research now that severe weather events are becoming more common. Suppose 20 60-minute duration measurements were made in each of the coastal counties of South Carolina (Horry, Georgetown, Charleston, and Beaufort). Is there evidence that the average 60-minute duration is different for at least one of the coastal counties? Complete the following to answer the question. Source df SS MS F P-value Factor dff SSF MSF F 0.593 Error df 22.758 MSE Total dfr 23.332 (a) State the hypotheses for the test. (b) Find the missing degrees of freedom for the factor (sport), error, and total. (c) Find the missing value for the test statistic, F. (d) State and interpret the p-value. (e) State your conclusion in terms of the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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108 d-e please

128
107. In their excellent article, Male Body Image and the Average Athlete, researchers at PsychGuides.com
used several online sources to compare the heights of male athletes in different sports and the
average male. Suppose a random sample of 10 men each was taken from the NBA, MLB, NFL,
MLS, and NHL. Is there significant evidence that the average height of male athletes is different
for at least one sport? Complete the following to answer the question.
df
MS
Source
SS
Factor df 336.5 MSF
336.5 MSF
Error dfe SSE MSE
Total dfr 773.4
(a) State the hypotheses for the test.
(b) Find the missing degrees of freedom for the factor (sport), error, and total.
(c) Find the missing value for the test statistic, F.
(d) State and interpret the p-value.
(e) State your conclusion in terms of the problem.
F P-value
F 0.00003
108. Hydrologic planning and design for small drainage areas are important focal points of research
now that severe weather events are becoming more common. Suppose 20 60-minute duration
measurements were made in each of the coastal counties of South Carolina (Horry, Georgetown,
Charleston, and Beaufort). Is there evidence that the average 60-minute duration is different for
at least one of the coastal counties? Complete the following to answer the question.
Source df SS
Factor dfF SSF
Error dfE 22.758
Total dfr 23.332
MS F P-value
MSF F 0.593
MSE
(a) State the hypotheses for the test.
(b) Find the missing degrees of freedom for the factor (sport), error, and total.
(c) Find the missing value for the test statistic, F.
(d) State and interpret the p-value.
(e) State your conclusion in terms of the problem.
00
Transcribed Image Text:128 107. In their excellent article, Male Body Image and the Average Athlete, researchers at PsychGuides.com used several online sources to compare the heights of male athletes in different sports and the average male. Suppose a random sample of 10 men each was taken from the NBA, MLB, NFL, MLS, and NHL. Is there significant evidence that the average height of male athletes is different for at least one sport? Complete the following to answer the question. df MS Source SS Factor df 336.5 MSF 336.5 MSF Error dfe SSE MSE Total dfr 773.4 (a) State the hypotheses for the test. (b) Find the missing degrees of freedom for the factor (sport), error, and total. (c) Find the missing value for the test statistic, F. (d) State and interpret the p-value. (e) State your conclusion in terms of the problem. F P-value F 0.00003 108. Hydrologic planning and design for small drainage areas are important focal points of research now that severe weather events are becoming more common. Suppose 20 60-minute duration measurements were made in each of the coastal counties of South Carolina (Horry, Georgetown, Charleston, and Beaufort). Is there evidence that the average 60-minute duration is different for at least one of the coastal counties? Complete the following to answer the question. Source df SS Factor dfF SSF Error dfE 22.758 Total dfr 23.332 MS F P-value MSF F 0.593 MSE (a) State the hypotheses for the test. (b) Find the missing degrees of freedom for the factor (sport), error, and total. (c) Find the missing value for the test statistic, F. (d) State and interpret the p-value. (e) State your conclusion in terms of the problem. 00
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