Answer:
1) Fail to reject the Null hypothesis
2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Step-by-step explanation:
A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:
![H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0](https://tex.z-dn.net/?f=H_%7Bo%7D%3A%20%5Cmu_%7BF%7D-%5Cmu_%7BM%7D%3D0%5C%5C%5C%5C%20H_%7Ba%7D%3A%20%5Cmu_%7BF%7D-%5Cmu_%7BM%7D%5Cneq%200)
The results of his tests are:
t-value = -1.05
p-value = 0.305
Degrees of freedom = df = 21
Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05
The rule of the thumb is:
- If p-value is equal to or less than the significance level, then we reject the null hypothesis
- If p-value is greater than the significance level, we fail to reject the null hypothesis.
No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.
Conclusion:
We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Answer:
The easiest way to do this is to reflect Figure I over the Y axis. Then move it up 3 and left 2.
X equals 6
How? Well first I multiplied 12 x 18 which is 216.
Then I subtracted 468 - 216 that equals 252.
Because I know that 2 x 6 equals a 12.....x had to be a 6.
So I multiplied 42 x 6 and it equaled 252.
So x is 6
Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.