### Description

I dont understand this Statistics question and need help to study.

Explain how to find the 95% confidence interval for the mean by hand for one of the data sets in your article.

Provide the needed information from your second set of data in your article for your classmate to find a Confidence Interval, tell which one to find (80%, 90%, etc.).

WEEK 8 ARTICLE INFORMATION BELOW:

## Part 1: Find a medical research article that includes 2 quantitative data sets (each with at least 20 data values) used in their research. Provide the data for one of the sets.

Answer

The study tries to model offering vaccination to all those low-risk individuals younger than a given age (but no younger than two years old) and all low-risk individuals older than a given age while maintaining vaccination of at-risk individuals of any age. The data set used contains the threshold vaccine dose prices for the addition of low-risk vaccination programs.

The data values are shown in the below table

Vaccine Dose Price (in £) |

12.12 |

27.84 |

31.29 |

27.54 |

23.34 |

17.71 |

16.6 |

22.16 |

25.59 |

26.57 |

26.44 |

25.69 |

24.78 |

23.85 |

22.81 |

21.87 |

21.12 |

20.62 |

20.28 |

20.01 |

19.65 |

19.18 |

18.53 |

17.84 |

17.14 |

16.46 |

15.85 |

15.32 |

14.87 |

14.51 |

14.14 |

13.75 |

13.32 |

12.92 |

12.59 |

12.33 |

12.13 |

11.98 |

11.85 |

11.75 |

11.67 |

11.6 |

11.56 |

11.54 |

11.51 |

11.5 |

11.49 |

11.49 |

11.48 |

11.48 |

## Part 2: Test if it is normal. Write a quality paragraph summarizing your findings, include the mean, standard deviation, the IQR, and tell how the data is skewed if it is.

Answer

We are using the first scenario for statistical analysis purposes (as shown in the formatted data). It contains the data for the Standalone young-age-centric program (vaccinate from 2yrs up to age A). There are 50 records in the data set with a mean value of £17.39 and a sample standard deviation of £5.68. The first quartile is £11.95, and the third quartile is £21.94. It indicates that 75% of the sample had a price higher than £11.95, while 25% had a threshold vaccine price higher than £21.94. Thus, the interquartile range is £9.99 (3rd quartile-1st quartile). The skewness of the data set is 0.641, which means it is somewhat positively skewed or skewed to the right. The data cannot be said to be normal due to its positive skewness value.

## Part 3: Using Desmos.com also provides the boxplot. Include the reference information for your article and keep a copy of it, you will use this article in later discussions.

Box Plot

Using Desmos the box plot of the dataset is shown in the below figure

Link:

https://www.desmos.com/calculator/ld0mnrhh4x (Links to an external site.)

References

Hill E.M., Petrou S., Forster H., Lusignan S., Yonova I., Keeling M.J. (2020). Optimising age coverage of seasonal influenza vaccination in England: A mathematical and health economic evaluation. *Plos Computational Biology*. doi: 10.1371/journal.pcbi.1008278