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Mara bought some flowers to plant in her garden. When she separated the plants into groups of three or five, she had one plant left over. When she separated the plants into groups of eight, she had
In an agency, 7/12 of the employees are engaged in clerical work, 1/3 of them are in supervisory work, and 1/4 of the employees are not engaged in either clerical or supervisory work. How many emplo
20 cubic meters of hydrogen gas at 47 degrees celsius is heated under constant pressure to a tempature of 127 degrees celsius. What is the new volume of the hydrogen gas?
How many possible IDs are there in all? what is the probability that an ID chosen at random from all possible IDs has no repeated letters?
Suppose 10 smokers 18 years old or older are randomly selected and the number of smokers who started smoking before 18 is recorded. Find the probability that exactly 8 of them started smoking before
Discuss the effect sample size has on p-values and confidence intervals and how this affects interpretation of statistical results.
SHA-512 is a hash function that maps a message of any length to a digest, which is binary string of size 512. What is the total number of possible digests that could be generated from all messages?
If the random variable z is the standard normal score and a > 0, is it true that P(z < -a) = P(z > a)? Why or why not? Then find the z-score for the standard normal distribution where: A
Describe how these examples differ from one another. Identify what makes flipping a coin and keeping track of tails a binomial experiment.
A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 30. Find P99, P90, and P80 for the ACT scores.
How is a "discrete" variable different from a "continuous" variable? Please give one example of each, and describe how these examples differ from one another.
A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only. Assume t
Identify the sampling technique used to obtain this sample: A person throws a phone book into the air five times; each time, he selects the tenth number on the page to which it opens.
Determine if this statistical study is descriptive or inferential: A study finds that 18% of consumers prefer brand A to brand B.
Determine if this study is experimental or observational: Researchers monitor the health of smokers and non-smokers.
The average cost of groceries has risen by 4.2% in the last year. Determine if this data is qualitative or quantitative: Home value.
Determine if this is an example of probability or statistics: The average cost of groceries has risen by 4.2% in the last year
In this exercise, practice some techniques and procedures related to regression analysis, using data (more or less) from the Darr and Johns (2003) academic politics study used as part of this module
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 490 college students showed that 33% of them had, or intended to, cheat on examinations. Find the mar
Construct a frequency distribution table to organize the following set of data. Construct a grouped frequency distribution for the following 28 scores using a class width of 4.
Classify the following as an example of a nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: rankings of the top ten best-selling authors.
Is the study observational or experimental? Justify your answer. Classify each of the variables identified in part IV as either attribute or numerical.
Gerald needs to purchase baseballs and bats for his youth baseball league. He will need at least 25 pieces of equipment, but he only has $615 to spend. Baseballs cost $20 each and bats cost $35 each
The pilot's final score s is the average speed minus any penalty points p earned. Write a function to model the pilot's score for a given t and p.