Two Sample Means A very recent study from Cele, et al. (2021) on SARS-CoV-2 (the virus that causes Covid-19) is available on medRxiv as a preprint. It analyzes the ability of the Pfizer-BioNTech vaccine to neutralize the Omicron variant in comparison to the ancestral strain (the original identified in Wuhan in 2019). In the study, they looked at five blood samples from donors that had the two Pfizer shots in addition to a Covid-19 infection. They analyzed these samples to find the geometric mean titer of neutralizing antibody – for which higher values correlate with a higher neutralization response – for both Omicron and the ancestral strain. NOTE: the trends seen in this study mirror those seen in a study by Pfizer-BioNTech that looked at blood sample from donors who had two shots plus a booster. Below is the data: 10. What type of study is this? a. Paired b. Two-Sample Independent 11. We would like to test if there is a mean difference between the type of variant. What would be the null and alternative hypotheses? a. H0: muD = 0 Ha: muD < 0 b. H0: muD = 0 Ha: muD not equal to 0 c. H0: mu1 - mu2 = 0 Ha: μ1 - μ2 > 0 d. H0: mu1 - mu2 = 0 Ha: mu1 - mu2 < 0 e. H0: mu1 - mu2 = 0 Ha: mu1 - mu2 not equal to 0 12. Find the test statistic. (report to 2 decimal places) 2.05 13. If the p-value is found to be 0.110, is there evidence at the 5% significance level that there is a mean difference? NO

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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Two Sample Means

A very recent study from Cele, et al. (2021) on SARS-CoV-2 (the virus that causes Covid-19) is available on medRxiv as a preprint. It analyzes the ability of the Pfizer-BioNTech vaccine to neutralize the Omicron variant in comparison to the ancestral strain (the original identified in Wuhan in 2019). In the study, they looked at five blood samples from donors that had the two Pfizer shots in addition to a Covid-19 infection. They analyzed these samples to find the geometric mean titer of neutralizing antibody – for which higher values correlate with a higher neutralization response – for both Omicron and the ancestral strain. NOTE: the trends seen in this study mirror those seen in a study by Pfizer-BioNTech that looked at blood sample from donors who had two shots plus a booster. Below is the data:

10. What type of study is this?

a. Paired

b. Two-Sample Independent

11. We would like to test if there is a mean difference between the type of variant. What would be the null and alternative hypotheses?

a. H0: muD = 0

Ha: muD < 0

b. H0: muD = 0

Ha: muD not equal to 0

c. H0: mu1 - mu2 = 0

Ha: μ1 - μ2 > 0

d. H0: mu1 - mu2 = 0

Ha: mu1 - mu2 < 0