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

Name of pepperHeat
African bird's eye225
Cayenne40
Chipotle8
Habanero225
Jalapeño5
Madame Jeanette225
Piri piri pepper113
Red savina355
Rocoto150
Serrano17
Tabasco40
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
Sums:
  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