For question 4 the answer is yes and for question 5 the answer is false
Answer: 
Step-by-step explanation:
Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.
Total students = 14+11=25
Number of students are randomly selected = 3
Then, the number of ways to select 3 students from 25 students :-

Number of ways to select at least 2 of the 3 students re non-sociology majors :-

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

Answer:
B. The mean amount of
emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg
Step-by-step explanation:
A Type II error is the failure to reject a false null hypothesis.
Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower
emissions.:

where
is the mean amount of
emitted by burning one gallon of this new gasoline.
If the null hypothesis is false, then:

A rejection of the alternate hypothesis above will be a Type II error.
Therefore:
The Type II error is: (B) The mean amount of
emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.
Simplify brackets
351 = y * 8 + 7
Regroup terms
351 = 8y + 7
Subtract 7 from both sides
351 - 7 = 8y
Simplify 351 - 7 to 344
344 = 8y
Divide both sides by 8
344/8 = y
Simplify 344/8 to 43
43 = y
Switch sides
<u>y = 43</u>