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A new kind of typhoid shot is being developed by a medical research team. The old...

A new kind of typhoid shot is being developed by a medical research team. The old typhoid shot was known to protect the population for a mean time of 36 months, with a standard deviation of 3 months. To test the time variability of the new shot, a random sample of 20 people were given the new shot. Regular blood tests showed that the sample standard deviation of protection times was 1.6 months. Using a 0.05 level of significance, test the claim that the new typhoid shot has a smaller variance of protection times.

(A) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)

math   Statistics-And-Probability   
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Answer #1

Given:-

Mean () = 36

Standard deviation () = 3

Sample size (n) = 20

Sample standard deviation (s) = 1.6

Test statistic :-

  = 5.689

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