Examine the data in uavSpeeds.csv. This contains the velocity of forty-one UAVs

Question

Examine the data in uavSpeeds.csv. This contains the velocity of forty-one UAVs under
certain environmental conditions. The UAV manufacturer claims the mean speed of the
UAVs in these conditions is greater than 200 km/h, which is the current standard.
Perform a hypothesis test at the = 0.05 level to examine whether the manufacturer has a
valid claim.

a. Compute the t-statistic for the hypothesis test.

speed
172.47449
55.43078
171.58359
368.39916
280.9578
466.79685
164.78363
309.60659
129.78652
234.0652
124.80565
197.08426
307.95914
309.38704
250.50666
196.80672
134.34208
415.49633
43.01073
267.74637
205.39506
136.79714
384.24611
174.67029
345.78557
246.88852
111.70683
126.02951
110.42303
126.48766
103.95833
177.38552
189.90451
359.50387
281.98587
225.06477
276.48168
223.94681
207.7511
280.23906
86.60776

Explanation / Answer

Data:    

n = 41   

= 200   

s = 100.25   

x-bar = 219.08   

Hypotheses:    

Ho: 200   

Ha: > 200   

Decision Rule:    

= 0.05   

Degrees of freedom = 41 - 1 = 40

Critical t- score = 1.683851014   

Reject Ho if t > 1.683851014   

Test Statistic:    

SE = s/n = 100.25/41 = 15.65641963

t = (x-bar - )/SE = (219.08 - 200)/15.6564196293328 = 1.218669431

p- value = 0.115054243   

Decision (in terms of the hypotheses):    

Since 1.218669431 < 1.683851014 we fail to reject Ho

Conclusion (in terms of the problem):    

There is no sufficient evidence that > 200

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.