MS 150 Statistics q07 • Name:

throws
184
191
183
187
196
174
185
185
179
186

While making joggling laps of the track, I kept count of the number of tennis ball throws I made with my right hand. The table records the number of throws per lap for ten consecutive laps. Consider this data as a random sample from a larger population of all possible joggling laps I run at the PICS track.

  1. __________ Calculate the sample size n for the data.
  2. __________ Determine the mode.
  3. __________ Determine the median.
  4. __________ Calculate the sample mean x.
  5. __________ Calculate the sample standard deviation sx.
  6. Make a sketch of the normal curve. On the x-axis note the value and location of the mean. Note the values and locations of the mean minus one standard deviation and the mean plus one standard deviation.
  7. p(throws ≤ 185) = __________ Using the sample mean x and sample standard deviation sx, what is the probability for the larger population of all possible laps that my throws will be 185 or less?
  8. p(185 ≤ throws ≤ 191) = __________ Using the sample mean x and sample standard deviation sx, what is the probability for the larger population of all possible laps that my throws will be between 185 and 191?
  9. p(throws ≥ 191) = __________ Using the sample mean x and sample standard deviation sx, what is the probability for the larger population of all possible laps that my throws will be 191 or more?