ANSWER QUESTIONS 1-3

1. a sample distribution sounds very similar to a Sampling distribution of sample means, even though they are very different. Check the boxes next to all of the differences between Sample and Sampling.Group of answer choices

A. Sample distribution graph is a graph of only 1 sample of size n, whereas a Sampling distribution of sample means is the graph of a shit-ton averages calculated from a shit-ton of samples that are all size n.

B. Sample distribution graph label describes who the individuals are and what we are measuring about them (for example: "Heights (inches) of 63 Columbia College students") whereas Sampling Distribution of sample means label tells the reader that the graph is of a shit-ton of averages of same-size groups (for example "Average height of a group of 41 CC students (inches)")

C. A Sample distributions' measure of center (average) could be very different from the populations' center, especially if the one sample we took happened to be biased,whereas the Sampling Distribution of sample means has a distribution center that is the average of all sample averages, and by the Central Limit Theorem, the center of the sampling distribution is the same as the center of the whole population.

D. "Sample" is a noun describing a single object,whereas "Sampling" is a gerund, which means that while it is a noun describing a single object, the "ing" tells us that there is some action...like a verb. This "ing" reminds us that a shit-ton of samples have been collected, which is a lot of work and a lot of action!

2. The distribution of weights of peach pies made by children at summer camp is continuously and Uniformly distributed and ranges between 12 and 32 oz, with =22 oz and = 5.77 oz. What is the probability that the average of 27 randomly selected peach pies will weigh at least 25 oz? Hint: is this a question about the population distribution or the sampling distribution of sample means?

A. 0.35

B. .2600

C. .3016

D. 0.0034

3. Shakespeare's 37 plays have an average of 943 speeches and a standard deviation of 208.3 speeches. There are only a few plays that have a high number of speeches (The Tragedy of "Anthony and Cleopatra" tops out at 1,361 speeches whereas the Comedy "Midsummer night's dream" has 605 speeches), making this a skewed high, single peaked distribution. What is the probability that an SRS of 9 plays has less than 800 speeches on average? Hint: Is this question about the population distribution or the sampling distribution of sample means? What is the shape, center, spread.

A. 0.0197

B. .9803

C. .2462

D. 69.4333

E.-2.0595

F.605/1361=.4445