Question

*A battery company claims that its batteries last an average
of 100 hours under normal use. After several complaints that the
batteries do not last this long, an independent testing laboratory
decided to test the company’s claim with a random sample of 42
batteries. The data from the 42 batteries appeared to be unimodal
and symmetric with a mean 97 hours and a standard deviation of 12
hours. Is this evidence that the company’s claim is false and these
batteries actually last less than 100 hours?*

**Perform the test using a significance level of 0.10 (=
0.10).**

**What is the P-value and your decision for H
0**

Answer #1

Hypothesis Test: Mean vs. Hypothesized Value | ||

100.00 | hypothesized value | |

97.00 | mean 1 | |

12.00 | std. dev. | |

1.85 | std. error | |

42 | n | |

-1.62 | z | |

.0526 | p-value (one-tailed, lower) | |

93.95 | confidence interval 90.% lower | |

100.05 | confidence interval 90.% upper | |

3.05 | margin of error |

**P value= 0.0526**

**Decision: Reject the null hypothesis, Ho**

Since p value< alpha(0.10). We reject the null hypothesis.
There is sufficient evidence to conclude that *the company’s
claim is false and these batteries actually last less than 100
hours.*

A battery company claims that its batteries last an average of
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and symmetric with a mean 97 hours and a standard deviation of 12
hours. Is this evidence that the company’s claim is false and these
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