Math Answers

The owner of a factory that sells a particular bottled fruit juice claims the the average capacity of their product is 250 ml to the test claim a consumer group gets a sample of 100 such bottles calculates the capacity of each bottle and then finds the mean capacity to the be 248ml.The standard deviation is 5ml . Test the hypothesis that the population mean is less that 250 ml. Assumed that the population is normally distributed. Use level of significance level is 0.5 and the z value is 1.645

Find y' if x^y^2=y^x^2

D. Not to

lat the

e is

nsare.

when, in fact, it is

6. A statistics senior high teacher believes that fewer than 20% of QNHS students answered the

online examination through google forms. He surveys 84 of his students and finds that 11 answered

the online exam. An appropriate alternative hypothesis is:

A. p = 0.20

B. p > 0.20

C. p<0.20

D. p < 0.20

When do we add the two corresponding areas of the z-score?

In an experiment of tossing a fair coin three times, find the P(X=2), P(X > 1) and P(1 ≤ X < 2). Let X be the random variable giving the number of tails.

The number of customers arriving per day at a certain automobile service facility is assumed to follow a Poisson Distribution with mean λ=20. Use normal approximation to find the probability that in a given day.

a) less than 25 customers will arrive;

b) at least 10 customers will arrive;

c) between 15 and 19 inclusive will arrive;

Suppose that X is a binomial random variable with n = 100 and p = 0.1

a) compute the exact probability that X is less than 4.

b) approximate the probability that X is less than 4 and compare to the result in part (a).

c) approximate the probability that 8 < X < 12

A process yields 10% defective items. If 100 items are randomly selected the process, use normal approximation to find the probability that the number of defectives.

a) exceeds 13 and

b) less than 8.