Search & Filtering
You are the operations manager for XYZ Cereal Company and is responsible for monitoring the amount of cereal box filled. You select and weigh a random sample of 50 boxes in order to calculate a sample mean and investigate how close the fill weights are to the company’s specifications of a mean of 368 grams. Suppose the sample of 50 boxes indicates a sample mean of 372.5 grams and the population standard deviation is assumed to be 15 grams. This time you must make a decision and conclude whether(or not) the fill mean weight in the entire process is equal to 368 grams in order to know whether the fill process needs adjustment. How could you rationally make this decision?
A bolt machine produced 250 bolts, of which, 50 are defective. If two bolts are picked at random with replacement, what is the probability that both are defective bolts? *
Express your final answer as a fraction in the lowest term (e.g. 1/4)
A student has 6 different notebooks and decided to give 5 of them to a friend. How many ways does he have to give away these notebooks?
A coin is tossed twice. Let Z denote the number of heads on
the first toss and W , the total number of heads on the two tosses. If
the coin is unbalanced and a head has a 60% chance of occurring,
find
(a) the joint distribution of W and Z .
(b) the marginal distribution of W .
(c )the marginal distribution of Z .
(d) the probability that at least 1 head occurs.
Let z be a normal random variable with a mean of 35 and a standard deviation of 4. Determine (z ≤ 1.4)
A sample size of 36 is to be selected from a population that has a mean of µ = 45 and standard deviation s of 10.
1.Find the mean of the sampling distribution
2.Find the standard error of the sampling distribution.
3.What is the probability that this sample mean will be between 40 and 50?
What's the area to the left of z=0?,in other words,What is P(z<0)?
To the right of z=0.3
consider a population consisting of 15,2,12,4,5,8,6,9 and 17.samples of size 5 are drawn from this popular
- A population of 4 numbers 1,2,4,5
a. List ALL the possible samples of size n=3, which can be drawn with replacement from the population.
b. Construct a sampling distribution of the sample mean.
- A population consists of 4 numbers 3,7,11,15 of sample size n=2 which can be drawn without replacement from the population.
a. Population mean
b. Population Variance
c. Population standard deviation
d. Mean of the sampling distribution of the sample means
e. Variance of the sampling distribution of the sample means
f. Standard deviation of the sampling distribution of the sample means
