Exam 9: Using Probability to Make Decisions About Data

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A probability distribution gives us

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Asaad wants to show Cheryl and Cindy a card trick he has learned.He first asks Cheryl to draw one card at random from a standard deck of 52 cards.Cheryl draws out the 4 of hearts,shows the card to Cindy,and then lays it face down on the table in front of her.Asaad then extends the remaining cards for Cindy to make her selection.What is the probability that Cindy also will draw out a heart?

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What is the probability of getting a sample mean between 500 and 520 if the population mean is 500 and the standard deviation of the sampling distribution (the standard error of the mean)is 20?

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One hundred lottery tickets have been sold.You've purchased 30 tickets.What is the probability of one of your tickets being randomly selected?

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An advertising executive wanted to know whether a new ad campaign designed to deter children from smoking was working.After seeing the ads,a randomly selected sample of 36 teenagers rated what they thought of smoking on a -5 (it's terrible)to +5 (it's fantastic).The mean rating for the sample was 0.70.The population mean is 0,with a population standard deviation of 2.00.What is the probability of obtaining a sample mean of 0.70 or lower (more negative)?

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The mean of the population ( The mean of the population (   )is 200 on a test that measures math skills of middle school students.The variance   .The test scores for the students in Mr.Petris's class at Suburban Middle School are given below.Use a rejection region with a probability of 5% only in the upper tail.What should you conclude?   )is 200 on a test that measures math skills of middle school students.The variance The mean of the population (   )is 200 on a test that measures math skills of middle school students.The variance   .The test scores for the students in Mr.Petris's class at Suburban Middle School are given below.Use a rejection region with a probability of 5% only in the upper tail.What should you conclude?   .The test scores for the students in Mr.Petris's class at Suburban Middle School are given below.Use a rejection region with a probability of 5% only in the upper tail.What should you conclude? The mean of the population (   )is 200 on a test that measures math skills of middle school students.The variance   .The test scores for the students in Mr.Petris's class at Suburban Middle School are given below.Use a rejection region with a probability of 5% only in the upper tail.What should you conclude?

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A student wanted to know whether memory for items on a grocery list was better when a bizarre image was created for each item,compared with a strategy of simply trying to remember the items.The student had a randomly selected sample use bizarre imagery to remember a list of 15 items;the mean number of items remembered was 10.The student compared this mean to a population mean of 7 and a standard error of 1.20.What is the probability of obtaining a sample mean of 10 or higher?

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When a z-score is not in the region of rejection,we should

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Why can we never be sure that a sample represents a population?

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You roll a die (the singular of dice)twice,and both times you roll a 6.What type of events are these two rolls?

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How is the relative frequency of an event defined?

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When a sample mean is different from the mean of the sampling distribution (the population mean),two alternatives must be considered: The sample mean may represent _____,or it may represent _____.

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What can we conclude about a sample mean that is found to lie in the region of rejection? It is extremely _____ to have occurred by chance,and it represents _____.

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A study about the college aptitude of seniors at North City High School has resulted in a sample mean with a corresponding z-score of 2.00.If the critical value for the region of rejection is A study about the college aptitude of seniors at North City High School has resulted in a sample mean with a corresponding z-score of <font face=symbol></font>2.00.If the critical value for the region of rejection is   ,what is the correct conclusion? ,what is the correct conclusion?

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Which of the following best describes knowing the relative frequency of every possible event in a population?

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When rolling a pair of fair dice,the probability of rolling a total point value of "7" is 0.17.If you rolled a pair of dice 1,000 times and the point value of "7" appeared 723 times,what would you probably conclude?

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