In 10-mph crash tests, 25 % of a certain type of automobilessustains no visible damage. A modified bumper design has beenproposed in an effort to increase this percentage. Let p denote theproportion of all cars with this new bumper that sustain no visibledamage in 10- mph crash tests. The hypotheses to be tested are H0 :p = 0.25 vs H0 : p >0.25. The test will based non an experimentinvolving n = 20 independent crashes of car prototypes with the newbumper design. Let X denote the number of crashes resultingin no visible damage, and consider the test procedure that rejectsthe null hypothesis if X >= 8.==> Use the binomial table to fidn the probability of type Ierror.

they are simplified

step-by-step explanation:

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