Question

A box contains 10,000 marbles: 6,000 are red and 4,000 are blue. 500 marbles are drawn...

A box contains 10,000 marbles: 6,000 are red and 4,000 are blue. 500 marbles are drawn at random without replacement. Suppose there are 218 blue marbles in the sample.   
A) Find the expected value for number of blues in the sample, the observed value, the chance error, and the standard error.  

B) Find a 68% Confidence interval.  

C) Find a 99.7% Confidence Interval

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The standard Error is also approximately 3.6

Add a comment
Know the answer?
Add Answer to:
A box contains 10,000 marbles: 6,000 are red and 4,000 are blue. 500 marbles are drawn...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A box contains 10,000 marbles, of which some are red and the others blue. To estimate...

    A box contains 10,000 marbles, of which some are red and the others blue. To estimate the percentage of red marbles in the box, 100 are drawn at random without replacement. Among the draws, 1 turns out to be red. The percentage of red marbles in the box is estimated as 1%, with an SE of 1%. True or false: a 95%-confidence interval for the percentage of red marbles in the box is 1% ± 2%. Explain.

  • 3. (20 points) A box contains a large number of red and blue marbles, but the...

    3. (20 points) A box contains a large number of red and blue marbles, but the proportions are unknown; a simple random sample of 100 marbles is drawn from the box, and 48 turn out to be red. The percentage of red marbles in the box ís estimated as 48%, with an SE of 5% (you don't need to check this, assume it is accurate). Say whether each of the following is true or false, and explain briefly a. The...

  • A box contains 9 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are...

    A box contains 9 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the three marbles selected are all different colors.

  • A box contains 3 red and 4 green marbles. Five marbles are drawn without replacement. Let...

    A box contains 3 red and 4 green marbles. Five marbles are drawn without replacement. Let X denote the number of red marbles obtained. a) Construct the probability distribution of X. b) What is the expected number of red marbles?

  • A box contains a large number of red and blue tickets; the proportion of red tickets...

    A box contains a large number of red and blue tickets; the proportion of red tickets is known to be 50%. A simple random sample of 100 tickets is drawn from the box. Say whether each of the following statements is true or false, and explain briefly. a. The percentage of red tickets in the sample has an expected value of 50%, and an SE of 5%. b. The 5% measures the likely size of the chance error in the...

  • A jar contains 9 red marbles, 7 green marbles, and 5 blue marbles. 34. If a...

    A jar contains 9 red marbles, 7 green marbles, and 5 blue marbles. 34. If a single marble is drawn from the bag, what is the probability that it is red? (3 pts) 35. If three marbles are drawn without replacement, what is the probability that all three Subles are green? [4 pts) 36. I samarbles are drawn with replacement, what is the probability that at least 1 blue marble was selected. 5 pts

  • There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles....

    There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles. Two marbles are drawn from the bag at random without replacement. Find the probability that both marbles are blue. Find the probability that the first is blue and the second green.

  • wo marbles are drawn at random and with replacement from a box containing 2 red, 3...

    wo marbles are drawn at random and with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A = {two red marbles are drawn} B = {two green marbles are drawn} C = {two blue marbles are drawn} D = two marbles of the same color are drawn} Find the probabilities of the following events: (a) P(A), P(B), P(C), and P(D). (b) P(A|D).

  • An urn contains 39 red, 17 white and 30 blue marbles. A child selects two marbles...

    An urn contains 39 red, 17 white and 30 blue marbles. A child selects two marbles at random and without replacement from the urn. Find the probability that the colors of the selected marbles are different. Hint: Three cases occur in the selection: no red, no white, no blue.

  • Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green,...

    Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green, and 2 are yellow. The marbles are rolling around in a drawer, so that all possibilities are equally likely when they are drawn. Alice chooses 2 marbles without replacement, and then Bob also chooses 2 marbles without replacement. Let Y denote the number of red marbles that Alice gets, and let X denote the number of red marbles that Bob gets. a. Find the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT