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chiffrardemsley
01.09.2020 •
Mathematics
The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
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Ответ:
The 95% confidence interval is
The pivot function used is
Step-by-step explanation:
From the question we are told that
The data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
The sample size is![n= 20](/tpl/images/0737/2931/b479a.png)
Given that the confidence level is 95% then the level of significance is
The degree of freedom is mathematically represented as
From the student t-distribution table the critical value of
is
The mean is mathematically represented as
The standard deviation is mathematically represented as
The margin of error is mathematically represented as
The 95% confidence interval is mathematically represented as
=>![245.6 - 1.345 < \mu](/tpl/images/0737/2931/057c5.png)
=>
The pivot function used is
Ответ:
C. 16%
In short, the correct selection would be answer 16%