A study by a geological research team said that a new piece of equipment designed for early earthquake detection is not effective
based on their recent study of 40 pieces of equipment they have
stationed near earthquake active zones with a = 0.05. However, the
manufacturer of the equipment claims this study was flawed and
their equipment is good. The research team is considering
rerunning the study with the intention of increasing the power of
this test. If the equipment really does detect earthquakes early,
which of the following would ensure an increase in the power of
the test?
(A) Move the equipment to three randomly chosen new locations.
(B) Change a = 0.05 to a = 0.02.
(C) Run a two-sided test instead of a one-sided test.
(D) Increase the sample size to 60 pieces of equipment being
tested.
(E) Decrease the sample size to 20 pieces of equipment being
tested.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

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