Question

Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of

2.4 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than

2.4 inches. The heights (in inches) of 20 randomly selected players are shown in the table.

72 |

74 |

71 |

73 |

76 |

70 |

77 |

76 |

72 |

72 |

77 |

72 |

75 |

70 |

73 |

74 |

75 |

73 |

74 |

74 |

Test the notion at the α=0.01 level of significance.

- What are the null and alternative hypotheses?
- Calculate the value of the test statistic.
- Use technology to determine the P-value for the test statistic.
- What is the correct conclusion at the α=0.01 level of significance?

Answer #1

using minitab

enter data>stat>basic stat>1 variance

a)

Test

Null hypothesis H₀: σ = 2.4

Alternative hypothesis H₁: σ < 2.4

b)Chi-Square test statistic = 14.4097

c)p value = 0.2407

d) failed to reject H0,There is insufficient evidence to support the claim

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less than 2.6 inches. The heights (in inches) of 20 randomly
selected players are shown in the table.Test the notion at the
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72
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71
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2.62.6
inches. The heights? (in inches) of
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LOADING...
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deviation of heights of major-league baseball players is less
than
2.7 inches. The heights (in inches) of 20 randomly selected
players are shown in the table.
What are the null and alternative hypotheses?
Calculate the value of the test statistic.
Use technology to determine...

1. Data show that men between the ages of 20 and 29 in a general
population have a mean height of 69.3 inches, with a standard
deviation of 2.9 inches. A baseball analyst wonders whether the
standard deviation of heights of major-league baseball players is
less than 2.9 inches. The heights (in inches) of 20 randomly
selected players are shown in the table.
72
74
71
72
76
70
77
76
72
72
77
73
75
70
73
74
75...

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Round the slope and intercept to two decimal places.
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72 211
73 220
70 165
72 180
72 195
70 175
74 202
78 240
71 170
74 180
73 185
76 257
77 215
76 287
77 220
73 200
76 223
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67, 67, 67, 67, 67, 67,67, 68, 68, 68, 69, 69, 69, 69, 69, 69, 72,
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