Question

Noise levels at 5 volcanoes were measured in decibels yielding the following data: 126,155,175,163,162 Construct the 98% confidence interval for the mean noise level at such locations. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Step 4 of 4: construct the 98% confidence interval.

Answer #1

sample mean x= | 156.200 |

sample size n= | 5 |

sample std deviation s= | 18.349 |

std error sx=s/√n= | 8.2061 |

for 98% CI; and 4 df, critical t= | 3.7470 |

margin of error E=t*std error = | 30.7482 |

lower bound=sample mean-E = | 125.4518 |

Upper bound=sample mean+E= | 186.9482 |

from above 98% confidence interval for population mean =(125.45,186.95) |

Step 3 of 4 :

**critical value =3.747**

Step 4 of 4:

98% confidence interval =(125.452 , 186.948)

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