∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 )
a 1 = 3 · ( -2 ) ^0 = 3
a 2 = 3 · ( - 2 ) = - 6
a 3 = 3 · 4 = 12
a 4 = 3 · ( - 8 ) = - 24
a 5 = 3 · 16 = 48
3 - 6 + 12 - 24 + 48 = 33
Answer: C ) 33
Options:
A. Null hypothesis : u>30 Alternative hypothesis :u<30
B. Null hypothesis :u>30 Alternative hypothesis :u=30
C. Null hypothesis :u=30 Alternative hypothesis :u≠30
D. Null hypothesis:u=30 Alternative hypothesis :u>30
Answer:
D. Null hypothesis:u=30 Alternative hypothesis:u>30
Explanation:
The null and alternative hypotheses are hypotheses test made to decide on the value of a population parameter using sample data. They are statements that are mutually exclusive(only one can be true). Therefore the null hypothesis which is the hypothesis being tested becomes true if the alternative hypothesis(everything else that is not the null hypothesis) is false. The null hypothesis assumes that the researcher is wrong as in the above statements while the alternative hypothesis states that the researcher is right.
Answer:
Neither.
Parallel lines have the same slope. Perpendicular lines have the opposite reciprocal slope. Neither of these are the case in this example, so the correct answer is Neither.
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