Answer:
w = 40 miles per hour
r = 300 miles per hour
Step-by-step explanation:
We add w with the wind and subtract w against the wind
r+w = 340 miles per hour
r - w = 260 miles per hour
Add the two equations together to eliminate w
r+w = 340 miles per hour
r - w = 260 miles per hour
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2r = 600
Divide by 2
r = 300 miles per hour without the wind
Now find w
r+w = 340
300 + w = 340
Subtract 300
w = 340-300
w = 40 miles per hour
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
