Index of refraction |
---|

1.25 |

1.25 |

1.23 |

1.18 |

1.58 |

1.50 |

1.14 |

1.16 |

1.09 |

1.16 |

1.26 |

1.23 |

The data is from a physical science experiment that investigated the index of refraction of water obtained on .

- __________ 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**bins, what is the width of a single bin? - Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.

Bin 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?
- __________ The index of refraction for water is 1.33. Calculate the z-score for an index of refraction of 1.33 using the mean and standard deviation calculated above.
- ____________________ Is a z-score of 1.33 ordinary or unusual?
- __________ The index of refraction for glass is 1.5. Calculate the z-score for an index of refraction of 1.5 using the mean and standard deviation calculated above.
- ____________________ Is a z-score of 1.5 ordinary or unusual?
- ____________________ What is the point estimate for the population mean μ?
- ____________________ Calculate the standard error of the mean SE.
- ____________________ Calculate the degrees of freedom n − 1.
- ____________________ Calculate t-critical t
_{c}for confidence levels of 95%. - ____________________ Calculate the margin of error for the mean E.
- Calculate the 95% confidence interval for the population mean μ total rainfall.

p(__________ ≤ μ ≤ __________) = 0.95 - ____________________ Does the 95% confidence interval include 1.33?
- ____________________ Refraction theory states that the index of refraction for water is 1.33. Is 1.33 a possible population mean μ for this sample at a confidence level of 95%?
- ____________________ Would we
*disconfirm***or***fail to disconfirm*an index of refraction of 1.33 for water?