Math QAs

Part1

#1.

1) In Minitab Express, create a histogram of the data and explain what the histogram tells you about the distribution of the data:

a) Describe the shape of the histogram

b) Describe the spread of the histogram

c) Describe any other features you observe (things like outliers)

d) From the histogram, can you tell if the sample data are approximately normally distributed?

#2

In Minitab Express, create a boxplot of the data and explain what the histogram tells you about the distribution of the data:

a) Describe the shape of the boxplot

b) Describe the spread of the boxplot

c) Describe any other features you observe (things like outliers)

d) From the boxplot, can you tell if the sample data are approximately normally distributed?

#3

In Minitab Express, create a normal probability plot of the data.

a) Do the points appear to be linear? Explain.

b) What is the p-value of the Anderson-Darling test?

c) What does the p-value tell you about the sample data?

#4

What can you conclude about whether the sample data are normally distributed or not?

#5

Which of the pieces of information (histogram, boxplot, normal plot, p-value) provides the best evidence of whether these data are normally distributed? Explain.

Part 2

#1

A random sample of 18 American League baseball player’s salaries was taken from among all the American League baseball players in 2003. These data were taken from USA Today.

1) In Minitab Express, create a histogram of the data and explain what the histogram tells you about the distribution of the data:

a) Describe the shape of the histogram

b) Describe the spread of the histogram

c. Describe any other features you observe (things like outliers)

d) From the histogram, can you tell if the sample data are approximately normally distributed?

#2

In Minitab Express, create a boxplot of the data and explain what the histogram tells you about the distribution of the data:

a) Describe the shape of the boxplot

b) Describe the spread of the boxplot

c) Describe any other features you observe (things like outliers)

d) From the boxplot, can you tell if the sample data are approximately normally distributed?

#3

In Minitab Express, create a normal probability plot of the data.

a) Do the points appear to be linear? Explain.

b) What is the p-value of the Anderson-Darling test?

c) What does the p-value tell you about the sample data?

#4

What can you conclude about whether the sample data are normally distributed or not?

#5

Which of the pieces of information (histogram, boxplot, normal plot, p-value) provides the best evidence of whether these data are normally distributed? Explain.