The general manager of a Major League Baseball team believes the ages of purchasers of game tickets are normally distributed. The following data represent the distribution of ages for a sample of observed purchasers of Major League Baseball game tickets. Use the chi-square goodness-of-fit test to determine whether this distribution is significantly different from the normal distribution.

Assume that α = .05.

Age of Purchaser Frequency

10–under 20 ............16

20–under 30 ............44

30–under 40 ............61

40–under 50 ............56

50–under 60 ............35

60–under 70 ............19