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

Name of pepperHeat
African bird's eye225
Madame Jeanette225
Piri piri pepper113
Red savina355
Thai pepper75

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.

  1. __________ What is the level of measurement for the data?
  2. __________ Find the sample size n.
  3. __________ Find the minimum.
  4. __________ Find the maximum.
  5. __________ Find the range.
  6. __________ Find the midrange.
  7. __________ Find the mode.
  8. __________ Find the median.
  9. __________ Find the sample mean x.
  10. __________ Find the sample standard deviation sx.
  11. __________ Find the sample coefficient of variation CV.
  12. __________ If this data is to be divided into five classes, what is the width of a single class?
  13. Determine the frequency and calculate the relative frequency using five classes. Record your results in the table provided.
Bin upper limitsFrequency FRelative Frequency
  1. Sketch a relative frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate.
  2. __________ What is the shape of the histogram?
  3. 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
  4. _________________ Is Scoville value of 1041 an ordinary value OR an extraordinary value based on the sample data above?

Capsicum frutescens Capsicum frutescens