The general manager of a major league baseball team believes the ages of purchasers of game tickets

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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

Distribution
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