In: Statistics and Probability
Scientists have shown that the length of time that coronavirus remains viable (infectious) on different surfaces is different depending on the material of the surface. For the investigation, they have tested surfaces made of plastic, cardboard, steel, and copper. c) What type of statistical analysis among the following (z-test, t-test, one-way ANOVA, two-way ANOVA, regression) is appropriate to show if these differences are significant or not? d) If your answer to part (c) is z-test or t-test, specify the type of it and then write the null and alternative hypothesis for your test. If your answer to part (c) is one-way or two-way ANOVA, define the factor(s) and their level(s). If your answer to part (c) is regression analysis, define your random variables.
Answer --- >
Initially scientists want to test whether length of time that coronavirus remains viable (infectious) on different surfaces.
Scientists have tested surfaces made of plastic, cardboard, steel, and copper.
They have taken the samples of length of time that coronavirus remains viable on different surfaces.
c) Now to compare the average length of time that coronavirus remains viable they need to perform the one-way ANOVA.
The hypothesis would be
Null Hypothesis: H0: The average length of time that coronavirus remains viable is same across different surfaces
Alternative Hypothesis: H1: The average length of time that coronavirus remains viable is not same across different surfaces
Since our answer is One-way ANOVA, there is one factor (type of surface) with four levels (plastic, cardboard, steel, and copper).
Using this methodology Scientists can shown that the length of time that coronavirus remains viable (infectious) on different surfaces is different depending on the material of the surface