MS 150 Statistics spring 2009 test one: Some like 'em hot • Name:

Name of pepper

Heat

African bird's eye

225

Cayenne

40

Chipotle

8

Habanero

225

Jalapeño

5

Madame Jeanette

225

Piri piri pepper

113

Red savina

355

Rocoto

150

Serrano

17

Tabasco

40

Thai pepper

75

The Scoville scale measures the hotness or piquancy of a chili pepper, as defined by the amount of capsaicin it contains. Capsaicin is a chemical compound which stimulates chemoreceptor nerve endings in the skin, especially the mucous membranes. The number of Scoville heat units (SHU) indicates the amount of capsaicin present.
Source: Wikipedia. The higher the Scoville heat units, the hotter the pepper. The table reports the Scoville values for a variety of chili peppers in thousands of Scovilles. For reference, Original TABASCO^{®} brand Pepper Sauce, from McIlhenny Company, has a rating of about 2.5 to 5 thousand on the Scoville scale. The small red peppers on Pohnpei have not to my knowledge been tested, but they likely rate somewhere between 50 and 225 thousand.

__________ What is the level of measurement for the data?

__________ Find the sample size n.

__________ Find the minimum.

__________ Find the maximum.

__________ Find the range.

__________ Find the midrange.

__________ Find the mode.

__________ Find the median.

__________ Find the sample mean x.

__________ Find the sample standard deviation sx.

__________ Find the sample coefficient of variation CV.

__________ If this data is to be divided into five classes, what is the width of a single class?

Determine the frequency and calculate the relative frequency using five classes. Record your results in the table provided.

Bin upper limits

Frequency F

Relative Frequency

Sums:

Sketch a relative frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate.

__________ What is the shape of the histogram?

z = __________ The Naga Jolokia pepper of the Assam region of northeastern India has a Scoville rating of 1041. Calculate the z-score for the Naga Jolokia pepper based on the mean and standard deviation you calculated above. Source: Wikipedia

_________________ Is Scoville value of 1041 an ordinary value OR an extraordinary value based on the sample data above?