Chapter 5: Q5 (page 220)
Using the same SAT questions described in Exercise 2, is 8 a significantly low number of correct answers for someone making random guesses?
Short Answer
8 is a significantly low number of correct answers.
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Chapter 5: Q5 (page 220)
Using the same SAT questions described in Exercise 2, is 8 a significantly low number of correct answers for someone making random guesses?
8 is a significantly low number of correct answers.
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In Exercises 7鈥14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.
In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and the accompanying table is based on the results.
x | P(x) |
0.06 | |
In person | 0.55 |
Instant message | 0.24 |
Text message | 0.15 |
Identifying Binomial Distributions. In Exercises 5鈥12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.
LOL In a U.S. Cellular survey of 500 smartphone users, subjects are asked if they find abbreviations (such as LOL or BFF) annoying, and each response was recorded as 鈥測es鈥 or 鈥渙ther.鈥
Detecting FraudThe Brooklyn District Attorney鈥檚 office analyzed the leading (leftmost) digits of check amounts in order to identify fraud. The leading digit of 1 is expected to occur 30.1% of the time, according to 鈥淏enford鈥檚 law,鈥 which applies in this case. Among 784 checks issued by a suspect company, there were none with amounts that had a leading digit of 1.
a. If there is a 30.1% chance that the leading digit of the check amount is 1, what is the expected number of checks among 784 that should have a leading digit of 1?
b. Assume that groups of 784 checks are randomly selected. Find the mean and standard deviation for the numbers of checks with amounts having a leading digit of 1.
c. Use the results from part (b) and the range rule of thumb to identify the values that are significantly low.
d. Given that the 784 actual check amounts had no leading digits of 1, is there very strong evidence that the suspect checks are very different from the expected results? Why or why not?
Identifying Binomial Distributions. In Exercises 5鈥12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.
Investigating Dates In a survey sponsored by TGI Friday鈥檚, 1000 different adult respondents were randomly selected without replacement, and each was asked if they investigate dates on social media before meeting them. Responses consist of 鈥測es鈥 or 鈥渘o.鈥
The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.
0 0 1 2 17 28 21 8
a. Find the mean.
b. Find the median.
c. Find the mode.
d. Find the range.
e. Find the standard deviation.
f. Find the variance.
g. Use the range rule of thumb to identify the values separating significant values from those that are not significant.
h. Based on the result from part (g), do any of the planets have a number of moons that is significantly low or significantly high? Why or why not?
i. What is the level of measurement of the data: nominal, ordinal, interval, or ratio?
j. Are the data discrete or continuous?
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