Answer:
The correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01
Step-by-step explanation:
Consider the provided information.
The size of sample 1 = n1 = 10
The size of sample 2 = n2 = 10
It is given that the test statistic is: t = 2.095
For α = 0.05
ndf = n1 + n2 - 2
Substitute the respective values in the above formula.
ndf = 10 + 10 - 2 = 18
Two Tailed Test:
From the table, critical value of t = 2.1009
But the calculated value of t = 2.095 which is less than critical value of t = 2.1009, Fail to reject .
For α = 0.01
From the table, critical value of t = 2.8784
But the calculated value of t = 2.095 which is less than critical value of t = 2.8784, Fail to reject .
Hence, the correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01
Answer:
6, but the question makes more sense when asking about 12.5% from 48
Step-by-step explanation:
to get a percentage of something, we just have to remember that and that we just need to multiply.
Yes, percentages are just numbers, but the percentage sign lets us signify the purpose of a number.
48 * 12.5% = 48 * 0.125 = 48 / 8 = 6
Answer:
their distance is increasing at the rate of 41.6 miles/hr
Step-by-step explanation:
Given the data in the question;
first we determine the distance travelled by the first boat in 10 min when the second boat was crossing its path;
⇒ ( 30/60 ) × 10 = 5 miles
so as illustrated in the diagram below;
y² = x² + ( x + 5 )²
2y = 2x
+ 2(x+5)
y = ( 2x + 5 ) ]
= [( 2x + 5 )/y ]
------ let this be equation 1
Now, given that, = 30 miles/hr, when x = 10
so
y = √( 10² + 15² ) = √325
so from equation 1
= [( 2x + 5 )/y ]
we substitute
= [( 2(10) + 5 ) / √325 ]30
= [ 25 / √325 ] × 30
= 41.6 miles/hr
Therefore, their distance is increasing at the rate of 41.6 miles/hr
