Normal Distribution—Lap Times Quiz

PDF page 375: • The student will compare and contrast empirical data and a theoretical distribution to determine if Terry Vogel's lap

PDF page 375: times fit a continuous distribution. Directions Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places. Collect the Data Use the data from Appendix C Data Sets. Use a stratified sampling method by lap— races 1 to 20— and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

PDF page 375: times fit a continuous distribution. Directions Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places. Collect the Data Use the data from Appendix C Data Sets. Use a stratified sampling method by lap— races 1 to 20— and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

PDF page 375: times fit a continuous distribution. Directions Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places. Collect the Data Use the data from Appendix C Data Sets. Use a stratified sampling method by lap— races 1 to 20— and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

PDF page 375: times fit a continuous distribution. Directions Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places. Collect the Data Use the data from Appendix C Data Sets. Use a stratified sampling method by lap— races 1 to 20— and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

PDF page 375: times fit a continuous distribution. Directions Round the relative frequencies and probabilities to four decimal places. Carry all other decimal answers to two places. Collect the Data Use the data from Appendix C Data Sets. Use a stratified sampling method by lap— races 1 to 20— and a random number generator to pick six lap times from each stratum. Record the lap times below for laps two to seven.

PDF page 376: Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes.

PDF page 376: Draw a smooth curve through the tops of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle or at either end, and so on?) Analyze the Distribution Using your sample mean, sample standard deviation, and histogram to help, what is the approximate theoretical distribution of the data?

PDF page 376: Draw a smooth curve through the tops of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. (Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle or at either end, and so on?) Analyze the Distribution Using your sample mean, sample standard deviation, and histogram to help, what is the approximate theoretical distribution of the data?

PDF page 376: • IQR = __________. (IQR = Q3 – Q1)

PDF page 376: • The empirical probability that a randomly chosen lap time is more than 130 seconds is _______.

PDF page 376: Theoretical Distribution Using the theoretical distribution, complete the following statements. You should use a normal approximation based on your sample data.