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**1. **True or False

* *

a) A sample is a subset of a population.

b) The range, variance and standard deviation all provide measures of the spread of a dataset.

c) The greatest value of a normal probability distribution function occurs at the mean of the distribution.

d) If a distribution is left (negatively) skewed then the mean of the distribution is greater than the median.

e) To determine if eating an energy bar before an athletic event results in improved performance, a group of voluntary participants that were equal in athletic ability was formed by researchers. Participants were randomly assigned to either a control group or an experimental group. Both

groups were of equal size. Before the event, participants were asked to eat a randomly distributed packaged bar. All bars were packaged the same, looked the same, and tasted the same but some were energy bars containing high levels of protein and vitamins while the rest were just brownies. All participants then completed the same athletic event and researchers collected data on their performance. This is a randomized experiment.

f) The experiment in e) is a blind experiment as opposed to a double-blind experiment.

g) The prices of generic items are compared to the prices of the equivalent named brand items. These two samples are matched pairs.

h) Take order into account when calculating the number of permutations of *r* objects out of a total of *n* objects; but, disregard order when calculating the number of combinations.

i) A binomial experiment is one in which there is a fixed number of independent trials each one of which has only two outcomes and where the probability of success is the same for every trial.

j) If a population does not have a normal distribution, the sample means are generally considered to have a normal distribution if the sample size is at least 30.

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Answered by Kanika_Mittal_30 on coursehero.com

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