Travelers pay taxes for flying, car rentals, and hotels. The following data represent the total travel tax for a 3-day business trip in eight randomly selected cities. 67.81 78.69 68.99 84.36 80.24 86.14 101.27 99.29 Use Minitab Express to perform a Normality Test on this data. Report your answers rounded to three decimal places, where applicable. a) In the normal probability plot, the data does (does / does not) stay relatively close to the reference line. b) The Anderson-Darling test results in a P-value of .649 . The given data (does / does not) provide significant evidence to claim that it did not come from a normal distribution. c) Based on the observations in parts a and b, it (would / would not) be acceptable to treat this data as though it were normal.

Respuesta :

Answer:

a) For this case the normal probability plot is on the figure attached.

As we can most of the values are on the straigth line and all are within the confidence bounds so we can conclude that the data does saty relatively close to the reference line.

b) The given data (does) provide significant evidence to claim that it did not come from a normal distribution.

c) As we can see using the figure and with the Anderson Darling test we can conclude that the data can be considered as normal.

Step-by-step explanation:

Part a

For this case the normal probability plot is on the figure attached.

As we can most of the values are on the straigth line and all are within the confidence bounds so we can conclude that the data does saty relatively close to the reference line.

Part b

As we can see on the figure attached the value for the Anderson Darling statistical calculated was:

AD=0.28

And the p value associated was [tex] p_v = 0.541[/tex]

If we use a significance level of [tex]\alpha=0.05[/tex] for example we see that the [tex] p_v >\alpha[/tex] sp then we can conclude that the data follows a normal distribution and the best conclusion is:

The given data (does) provide significant evidence to claim that it did not come from a normal distribution.

Part c

As we can see using the figure and with the Anderson Darling test we can conclude that the data can be considered as normal.

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