Suppose a judge decides to acquit all defendants, regardless of the evidence. a. What is the...
Suppose a judge decides to acquit all defendants, regardless of the evidence.
a. What is the probability of type I error?
b. Why might this be a bad policy?
Homework Answers
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Suppose a judge decides to acquit all defendants, regardless of
the evidence.
a. What is the...
after running a hypothesis test, there was evidence to support the mean final percent for all...
after running a hypothesis test, there was evidence to support the mean final percent for all students was less than 80%. concerned that this might be a problem, I found the mean final percent for all students to be 80%. What type of error is this?
ons In a criminal trial in the United States, it must be proven that a defendant...
ons In a criminal trial in the United States, it must be proven that a defendant is guilty beyond a reasonable doubt. In a civil trial, it must only be proven by a preponderance of the evidence that a defendant is guilty. Complete parts a through c below. a. In a criminal trial by jury, suppose the probability the defendant is convicted, given guilt, is 0.91, and the probability the defendant is acquitted, given innocence, is 0.91. Suppose that 95%...
Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty....
Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. (Source: The Book of Risks, by Larry Laudan, John Wiley and Sons) Suppose you are a news reporter following twelve criminal trials. (For each answer, enter a number.) (a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? (Round your...
A psychologist is studying the self image of smokers, as measured by the self-image (SI) score...
A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, u, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test....
a) How many pieces of evidence must the prosecutor gather before the jury decides to convict...
a) How many pieces of evidence must the prosecutor gather before
the jury decides to convict the accused? Use Bayes theorem and
compute P(G|E1, ··· Ej ) for all j.
b) The defense is putting a lot of preassure in dismissing the
case. The prosecutor has only time to discover 1 piece of evidence.
Clearly with the standard of presumption of innocence and guilty
beyond any reasonable doubt it would result in failure to convict.
What is the minimal prior...
If your sample had sufficient evidence to reject H0, there is a small chance that a...
If your sample had sufficient evidence to reject H0, there is a small chance that a ____ occurred. a. large probability value b. Type I error c. Type II error d. correct decision
1. Multiple choice. Circle all the correct answers a) You flip a coin 100,000 times and...
1. Multiple choice. Circle all the correct answers a) You flip a coin 100,000 times and record the outcome in a Xi 1 if the toss is "Heads" and 0 if its "Tails. The Law of Large Numbers says that: i. ii. It is impossible for the first n flips to all be "Heads" if n is large. With high probability, the share of coin flips that are "Heads" will approximate 50%. The sample mean of X is always 0.5...
11. (16 pts) Suppose that the mean time from the date of service to the date...
11. (16 pts) Suppose that the mean time from the date of service to the date of payment for one insurance company was 41.4 days last year. To estimate the mean time this year, a sample of 50 claims is selected. The sample mean time from the date of service to the date of payment was = 38.2 days. Suppose the population standard deviation was σ = 7.4 days. (a) What is the population? What is the sample? (b) At...
A consumer advocacy group is doing a large study on car rental practices. Among other things,...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, u, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2800 miles. The group plans to do a statistical test regarding the...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, , is different from 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a...
ons In a criminal trial in the United States, it must be proven that a defendant is guilty beyond a reasonable doubt. In a civil trial, it must only be proven by a preponderance of the evidence that a defendant is guilty. Complete parts a through c below. a. In a criminal trial by jury, suppose the probability the defendant is convicted, given guilt, is 0.91, and the probability the defendant is acquitted, given innocence, is 0.91. Suppose that 95%...
A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, u, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test....
a) How many pieces of evidence must the prosecutor gather before
the jury decides to convict the accused? Use Bayes theorem and
compute P(G|E1, ··· Ej ) for all j.
b) The defense is putting a lot of preassure in dismissing the
case. The prosecutor has only time to discover 1 piece of evidence.
Clearly with the standard of presumption of innocence and guilty
beyond any reasonable doubt it would result in failure to convict.
What is the minimal prior...
1. Multiple choice. Circle all the correct answers a) You flip a coin 100,000 times and record the outcome in a Xi 1 if the toss is "Heads" and 0 if its "Tails. The Law of Large Numbers says that: i. ii. It is impossible for the first n flips to all be "Heads" if n is large. With high probability, the share of coin flips that are "Heads" will approximate 50%. The sample mean of X is always 0.5...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, u, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2800 miles. The group plans to do a statistical test regarding the...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, , is different from 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a...
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