AP Exam #2

What distribution is used to model the amount of shampoo in a bottle?

• Uniform distribution

• Binomial distribution

• Normal distribution

• Poisson distribution

How is the z-score calculated for the boundary value in the shampoo bottle problem?

• Standard deviation divided by mean

• Mean divided by standard deviation

• Boundary value minus mean divided by standard deviation

• Mean minus boundary value divided by standard deviation

What conditions must be met for a random variable to be considered binomially distributed?

• Fixed number of trials, two outcomes, independent trials, equal probability

• Fixed number of trials, two outcomes, dependent trials, equal probability

• Variable number of trials, two outcomes, independent trials, varying probability

• Fixed number of trials, multiple outcomes, independent trials, equal probability

Why is the original programming of the filling machine preferred over the adjusted programming?

• Higher probability of underfilled bottles

• Lower probability of underfilled bottles

• Lower standard deviation

• Higher mean volume of shampoo

What is the probability of success for a super igniter according to the problem statement?

• 0.70

• 0.30

• 0.85

• 0.15

How is the probability of the first failure occurring on the 31st or 32nd igniter calculated?

• Adding the probabilities of failure on the 31st and 32nd

• Multiplying the probabilities of success up to the 30th igniter

• Subtracting the probabilities of success from 1

• Using the binomial formula for 31st and 32nd trials

What does a very low p-value in a significance test indicate?

• Inconclusive results

• The need for more data collection

• Strong evidence in favor of the null hypothesis

• Strong evidence against the null hypothesis