Question 1 (20 points) Question 1 Unsaved Determine whether the BEST, most commo

Question

Question 1 (20 points) Question 1 Unsaved

Determine whether the BEST, most common interpretation of the given statement is:

TRUE - Select 1

FALSE - Select 2

Question 1 options:

__ A PARAMETER is a number that describes a population.

__ In a BOX PLOT when the median line is closer to Q1 (25th percentile) than Q3 (75th percentile) the distribution is Skewed Left.

__ A STATISTIC is a number that describes a sample.

__ One test for a Simple Random Sample (SRS) of size n is whether all samples of size n from the population of interest are equally likely.

__ For a right skewed distribution the MEDIAN is GREATER than the mean.

__ If a value of 17.3 is the 42nd PERCENTILE of a data set, then 58% of the data will be below 17.3

__ The number of patients admitted to a hospital is an example of a QUANTITATIVE variable.

__ A DOT PLOT is a type of histogram where a dot appears for each data value.

__ The DISCRETE random variable X takes values 1,2,3 with probabilities: P(X=1)=0.2, P(X=2)=0.4 and P(X=3)=0.4. The MEAN of X is 1.9

__ The sample STANDARD DEVIATION is the square root of the sample variance.

__ A PIE CHART is a circle chart with category frequencies making the slices.

__ Bottle soft drink size is an example of a qualitative variable that is NOMINAL.

__ Improving a HISTOGRAM with too many gaps between the plotted bars involves decreasing the class width.

__ Gender is an example of a qualitative variable that is ORDINAL.

__ If X is a BINOMIAL random variable with p=0.3 and n=7, P(X=4)=0.097

__ The width of the rectangle in a BOX PLOT is the interquartile range.

__ A QUALITATIVE variable classifies individuals into categories.

__ All observed data can be reproduced from a STEM-AND-LEAF plot.

__ A fair coin is tossed twice, Event A is that one of the tosses is a head, and Event B is that one is a tail. Events A and B are said to be MUTUALLY EXCLUSIVE.

__ The amount of water used each month is an example of a CONTINUOUS variable.

Explanation / Answer

Parameters are numbers that summarize data for an entire population. So answer is True

The median, part of the five-number summary, is shown by the line that cuts through the box in the boxplot.

Skewed data show a lopsided boxplot, where the median cuts the box into two unequal pieces. If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left.

Now in a BOX PLOT when the median line is closer to Q1 (25th percentile) than Q3 (75th percentile) the distribution is Skewed Left. For this case  the part of the box to the left of the median is shorter than the part to the right of the median hence it is skewed right. So answer is False

Statistics are numbers that summarize data from a sample. So answer is True

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. Hence population of interest are equally likely, so answer is True

For a right skewed distribution, the mean is typically greater than the median. So answer is False

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