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Statistics

Select the correct interpretation of the 95% confidence level t-interval for the mean baseline 250HD.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

In a single-blind controlled experiment comparing the efficacy of oral administration vs. intramuscular injection to remedy Vitamin D deficiency in the population of healthy adults ages 18–60, a team of researchers randomly recruited and assigned a sample of 12 subjects to the intramuscular injection (IM) group.

Before administering the single intramuscular injection of 100,000 IU of Vitamin D to each subject in the group, the researchers measured individual baseline blood serum concentration of Vitamin D (baseline 25OHD) in units of nanomoles per liter.

The team reported the sample mean baseline 25OHD in the IM group as 33 nmol/l with a sample standard deviation of 8.5 nmol/l. Assuming that baseline 25OHD was approximately normally distributed in the population, the team also reported the 95% confidence level t-interval for the mean baseline 25OHD as (26.3, 39.7).

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Select the correct interpretation of the 95% confidence level t-interval for the mean baseline 25OHD.

- ○ The researchers expect that any t-interval the researchers construct using the same method and the same sample size will each contain 95% of the corresponding sample data for baseline 25OHD.
- ○ There is a 95% chance that the reported t-interval will uniquely contain the mean baseline 25OHD of the population.
- ○ The researchers expect that 95% of all possible t-intervals, constructed using the same method and the same sample size, will each contain the mean baseline 25OHD of the corresponding sample.
- ○ The researchers expect that 95% of all possible t-intervals, constructed using the same method and the same sample size, will each contain the mean baseline 25OHD of the population.
- ○ The researchers expect that 95% of all possible t-intervals, constructed using the same method and the same sample size, will each contain the range of the baseline 25OHD in the population.

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