26. You roll an eight-sided die five times and get a four every time. You suspect...

26. You roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number. a. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker’s claim. Display the results in a histogram. b. What should you conclude when you roll the actual die 50 times and get 20 fours? 7 fours?

24.You choose a random sample of 200 from a population of 2000. Each person in the sample is asked how many hours of sleep he or she gets each night. The mean of your sample is 8 hours. Is it possible that the mean of the entire population is only 7.5 hours of sleep each night? Explain.

Solutions

Expert Solution

26. It is quite possible that sample mean can be different from population mean. This margin of error (difference in means) depends on variation in data and sample size. Generally as sample size increases margin of error or sampling error decreases The difference between true mean and sample mean sampling error.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

PROJECT C Roll a 6-sided die 800 times. If you do not desire to roll a...

PROJECT C Roll a 6-sided die 800 times. If you do not desire to roll a die manually, STATDISK can be used to simulate the process. To use STATDISK, go to “Data” at the top of the STATDISK window, and then choose “Dice Generator”. The “Dice Roll Random Sample Generator” window will appear. Then in that window, put 800 in for “Sample Size”, put 1 in for “Num Dice”, and put 6 in for “Num Sides”. Please disregard the “Random...

You roll one blue 6-sided die, and one red 4-sided die. Let A be the event...

You roll one blue 6-sided die, and one red 4-sided die. Let A be the event that the outcome of the red die is twice the outcome on the blue die Let B be the event that the outcome of the blue die is greater than the outcome on the red die Let C be the event that the sum of the two dice is a prime number. a) Find P(B) and P(C) by clearly listing all outcomes in B...

You roll 3 four-sided dice. What is the probability that you get an even number on...

You roll 3 four-sided dice. What is the probability that you get an even number on all 3 dice?

You roll a balanced die two times. Is the second roll independent of the first roll?

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are...

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are counting the number of ones that come up. a) Distinguish between the outcomes and events. b) What is the probability that both die roll ones? c) What is the probability that exactly one die rolls a one? d) What is the probability that neither die rolls a one? e) What is the expected number of ones? f) If you did this 1000 times, approximately...

The newest invention is a three-sided die. On any roll of this die, the result is...

The newest invention is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2 with probability 1/4, and 3 with probability 1/4. Consider a sequence of six independent rolls of this die. A. Find the probability that exactly two of the rolls result in a 3. B. Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1. C. We are...

Suppose that you are offered the following "deal." You roll a six sided die. If you...

Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $15. If you roll a 3, 4 or 5, you win $1. Otherwise, you pay $4. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ ____ (Round to the nearest cent) c....

A regular six-sided die and a regular eight-sided die are rolled to find the sum. Determine...

A regular six-sided die and a regular eight-sided die are rolled to find the sum. Determine the probability distribution for the sum of the two dice. Create a frequency histogram for the probability distribution and determine the expected sum of the two dice.

You roll a six- sided die. Find the probability of each of the following scenarios a....

You roll a six- sided die. Find the probability of each of the following scenarios a. Rolling a 6 or a number greater than 3 b. Rolling a number less than 5 or an even number c. Rolling a 2 or an odd number

You roll a fair six-sided die and don't look at it. What is the probability that...

You roll a fair six-sided die and don't look at it. What is the probability that it is a 5 given that your friend looks and tells you that it is greater than 2? Leave your answer as a fraction.

Subjects