Question

Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.

Day | Rounds | ||

Monday | 105 | ||

Tuesday | 150 | ||

Wednesday | 145 | ||

Thursday | 120 | ||

Friday | 105 | ||

At the 0.01 significance level, is there a difference in the number of rounds played by day of the week?

*H*_{0}: Rounds played is the same for each
day.

*H*_{1}: Rounds played is not the same.

**1) State the decision rule, using the 0.01 significance
level**

Reject H0 if chi-square > ______

**2) Compute the value of chi-square.**

Answer #1

The null and alternative hypothesis is

*H*_{0}: Rounds played is the same for each
day.

*H*_{1}: Rounds played is not the same.

Proportion to played rounds = 1 / 5

Level of significance = 0.01

Degrees of freedom = 5 - 1 = 4

Critical value = 13.277

( From chi-square table)

1)

Decision rule:

**Reject H0 if chi-square > 13.277**

2)

Test statistic is

O: Observed frequency

E: Expected frequency.

E = n*p

n = 625

O | E | (O-E) | (O-E)^2 | (O-E)^2/E | |

105 | 125 | -20 | 400 | 3.2 | |

150 | 125 | 25 | 625 | 5 | |

145 | 125 | 20 | 400 | 3.2 | |

120 | 125 | -5 | 25 | 0.2 | |

105 | 125 | -20 | 400 | 3.2 | |

Total | 625 | 14.8 |

Classic Golf Inc.
manages five courses in the Jacksonville, Florida, area. The
director of golf wishes to study the number of rounds of golf
played per weekday at the five courses. He gathered the following
sample information.
Day
Rounds
Monday
145
Tuesday
130
Wednesday
105
Thursday
105
Friday
140
At the 0.05
significance level, is there a difference in the number of rounds
played by day of the week?
H0: Rounds played is the same for each
day.
H1: Rounds...

Classic Golf Inc. manages five courses in the Jacksonville,
Florida, area. The director of golf wishes to study the number of
rounds of golf played per weekday at the five courses. He gathered
the following sample information.
Day
Rounds
Monday
120
Tuesday
110
Wednesday
150
Thursday
135
Friday
110
At the 0.05 significance level, is there a difference in the
number of rounds played by day of the week?
H0: Rounds played is the same for each
day.
H1: Rounds...

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