A robbery has been committed and McGuff, thecrime-fighting dog, has been called in to investigate.He discovers that Sally Coldhands was seen wearinggloves in the neighborhood shortly after the crime,and, thus, he concludes that she should be arrested.From past experience you know that 50% of the peo-ple that McGuff says should be arrested for robberyare actually guilty. Before making the arrest, youorder some additional investigation. From a largepopulation of convicted robbers, you find that 60%wore gloves at the time of the crime and continuedto wear them for an interval after the crime. Fur-ther investigation reveals that 80% of the people inthe neighborhood of the crime were wearing glovesaround the time of the crime.a. Based on the fact that Sally was wearing gloves,what is the probability that Sally actually commit-ted the crime?b. If you charged her with the crime, do you thinka jury would convict her based on the glove evi-dence? Explain why or why not.

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Answered: A robbery has been committed and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a political poll, approximately 3/25 of the people asked preferred candidate A in the upcoming election . If 30,500,000 people were asked , how many of these preferred candidate A ?
A. Headache Pain : There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief available. You conduct a study comparing the three most popular pain relievers and a placebo to see which work best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive the medication. You randomly assign 60 participants to one of the four conditions using a double- + blind procedure. (Use a = Placebo 70 Drug A 30 Drug B 10 Drug C 10 30 60 40 20 50 40 10 10 60 30 40 10 10 40 30 30 30 30 30 10 40 20 20 20 60 40 20 30 50 30 30 10 30 30 20 20 60 20 10 10 20 40 20 30 20 50 20 10 40 20 30 30 State the hypotheses Critical value and df Test statistic
A. Headache Pain : There are many over-the-counter pain relievers. By the end of the semester, you have a tremendous headache and are looking for the most effective pain relief available. You conduct a study comparing the three most popular pain relievers and a placebo to see which work best. You use only subjects with headaches and record the amount of time (in minutes) it takes for their headache to go away after they receive the medication. You randomly assign 60 participants to one of the four conditions using a double- blind procedure. (Use a = .05) Drug A Drug C 10 Placebo Drug B 10 70 30 30 60 40 20 50 40 10 10 60 30 10 10 40 40 30 30 30 30 30 10 40 20 20 20 60 40 20 30 50 30 30 10 30 30 20 20 60 20 10 10 20 40 30 20 50 20 20 10 40 20 30 30 IV (or predictor) variable DV (or criterion) variable What type of analysis should you conduct to determine which method relieves headache pain most swiftly?
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2. Rini prefers red M&Ms over any other color. The Mars Company, makers of M&Ms, claims that 20% of all M&Ms are red. Rini plans to remove M&Ms from her bag one at a time until she gets her first red. How many M&Ms should she expect to remove?
Four Quarters the Same as $1? In a study of the “denomination effect,” 43 college students were each given one dollar in the form of four quarters, while 46 other college students were each given one dollar in the form of a dollar bill. All of the students were then given two choices: (1) keep the money; (2) spend the money on gum. The results are given in the accompanying table (based on “The Denomination Effect,” by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36.) Use a 0.05 significance level to test the claim that whether students purchased gum or kept the money is independent of whether they were given four quarters or a $1 bill. Is there a “denomination effect”?
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A local health department believes that a store is merchandising its cereal aisle in a way that puts sugary cereal brands at eye level for children. The store claims that it is not considering sugar content and is stocking the shelves based on other factors. An inspector visited the store and recorded the sugar content per serving listed on the boxes (sugar content for each box is listed under the shelf where that box of cereal is located). Shelf 1 Shelf 2 Shelf 3 Shelf 4 7 13 6 10 8. 5 14 7 8 11 11 10 11 3 a) What are the treatment groups, and how many experimental units are there per treatment? b) If instead of using the content listed on the box, the inspector sampled from multiple boxes of each brand of cereal and tested them for sugar content. How many experimental units were there be if there were 10 boxes per brand on the shelf? Explain your answer. [hint: all the boxes for each brand will be in one place] c) State the null hypothesis and create an ANOVA table based on sugar…
In a US presidential election, the incumbent president wins with 51.5% of the vote to 48.2% for the primary challenger (and .3% to others). In a nationwide telephone poll of 1000 people conducted exactly one week before the election by a university polling group, 49% of people polled supported the incumbent president, 50% supported the challenger, and 1% supported other candidates. a. For the polling study, what was the population of interest? b. What was the sample? c. Why did the sample results differ from the population? d. What are two constants that might have limited the generalizability of the polling results?
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