Location | Sound speed (ms⁻¹) |
---|---|

B bldg diagonal | 200 |

Bookstore | 270 |

South faculty | 275 |

West library | 286 |

B bldg diagonal | 287 |

Girl's dorm | 296 |

East wall gym | 312 |

Cafeteria | 320 |

West library | 326 |

East wall gym | 336 |

North wall gym | 353 |

North wall gym | 390 |

The data is based on data from a physical science experiment that investigated the speed of sound.
^{
1,
2
}

- __________ Find the sample size
**n**for the data. - __________ Find the minimum.
- __________ Find the maximum.
- __________ Find the range.
- __________ Find the midrange.
- __________ Find the median.
- __________ Find the mode.
- __________ Find the sample mean
**x**. - __________ Find the sample standard deviation
**sx**. - __________ Find the sample coefficient of variation CV.
- __________ If this data is divided into
**five**classes (bins, intervals), what is the width of a single class? - Determine the frequency and calculate the relative frequency using five classes. Record your results in the table provided.

Class upper limits | Frequency F | Relative Frequency |
---|---|---|

Sums: |

- Sketch a
**frequency**histogram of the data, labeling your horizontal axis and vertical axis as appropriate. - ____________________ What is the shape of the histogram?
- __________ Theory predicts a speed of sound of 350 ms⁻¹. Calculate the z-score for a sound speed of 350 ms⁻¹ using the mean and standard deviation calculated above.
- ____________________ Is a z-score for 350 ms⁻¹ ordinary or unusual?
- ____________________ What is the point estimate for the population mean μ speed of sound?
- ____________________ Calculate the standard error SE of the mean.
- ____________________ Calculate the degrees of freedom n − 1.
- ____________________ Calculate t-critical t
_{c}for confidence levels of 95%. - ____________________ Calculate the margin of error E for the mean.
- Calculate the 95% confidence interval for the population mean μ speed of sound.

p(__________ ≤ μ ≤ __________) = 0.95 - ____________________ Does the 95% confidence interval include 350 ms⁻¹?
- ____________________ Sound speed theory states that the speed of sound is 350 ms⁻¹. Is 350 ms⁻¹ a possible population mean μ for this sample at a confidence level of 95%?
- ____________________ Based on the data provided, would we
*disconfirm***or***fail to disconfirm*a theory that stated the speed of sound is 350 ms⁻¹?