Student conducts a high temperature experiment using a thermister with a guaranteed accuracy of +/- 1.3 degrees fahrenheit. the student takes an initial set of 11 measurements, and calculates a sample average of 224 and a sample deviation of 19.8 degrees. assuming a confidence level of 99%, estimate the total number of samples needed to ensure a total measurement uncertainty less than 3.5 degrees. (the number of samples should be an integer)

213 samples needed for 99% confidence interval

Step-by-step explanation:

We know that:

minimum size of sample needed to be sure about total measurement less than 3.5 degree is given as

where,

s is standard deviation = 19.8 degree

E IS MARGIN OF ERROR = 3.5 degree

right tail critical value of

Z

so, minimum size of sample needed is

n = 213.02

Therefor 213 samples needed for 99% confidence interval

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step-by-step explanation:

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