Joel and Gunner both run the 800-meter race. The line graph below shows their times for the first five meets of the track season
. What was Gunner's range of times in the first five meets?
A) 1.0 Minute
B) 0.75 Minute
C) 0.5 Minute
D) 0.25 Minute
Part B
In how many meets did Joel have a faster time than Gunner?
A) 1
B) 2
C) 3
D) 4
Part C
If it were possible for Gunner to continue improving his time as he has been, what would be a good prediction for his time in the sixth meet.
A) 2.0 Minutes
B) 1.75 Minutes
C) 1.5 Minutes
D) 1.25 Minutes
A) 1.0 Minute
B) 0.75 Minute
C) 0.5 Minute
D) 0.25 Minute
Part B
In how many meets did Joel have a faster time than Gunner?
A) 1
B) 2
C) 3
D) 4
Part C
If it were possible for Gunner to continue improving his time as he has been, what would be a good prediction for his time in the sixth meet.
A) 2.0 Minutes
B) 1.75 Minutes
C) 1.5 Minutes
D) 1.25 Minutes
2 answers:
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Answer:
The calculated value t = 2.366 > 2.0301 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the first sample size 'n₁' = 22
Given that the mean of the first sample x₁⁻ = 120
Given that the standard deviation of the sample (s₁) = 20
Given that the mean of the second sample x₂⁻ = 100
Given that the standard deviation of the second sample (S₂) = 30
<u><em>Step(ii):-</em></u>
T-test statistic
where
S² = 637.1428
S = √637.1428 = 25.24168
The standard deviation of the sample 'S' = 25.24168
<u><em>Step(iii):-</em></u>
<u><em>Null Hypothesis:H₀:</em></u>
There is no difference between the means
<u><em>Alternative Hypothesis:H₁:</em></u>
There is a difference between the means
T-test statistic
t = 2.366
Degrees of freedom
γ = n₁+n₂ -2 = 22+15-2 = 35
t₀.₀₅ = 2.0301
The calculated value t = 2.366 > 2.0301 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means