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T/F? 17. When performing hypothesis tests or computing confidence intervals base

ID: 3045894 • Letter: T

Question

T/F?

17. When performing hypothesis tests or computing confidence intervals based on large samples,

               it is not necessary to assume that the data in the parent population(s) are distributed normally.

        18. To estimate m within two units with 95% confidence and s = 10 requires n be at least 96.

        19. When working with a sample size of n = 9, assuming a one-tailed test, more than 5% of the

              area under the appropriate t-curve will be located in the tail beyond 1.65 standard errors.

        20. If a two-tailed test assumes a 5% rejection region, then the total rejection region is 10%; that

              is, it consists of 5% in each tail.

Explanation / Answer

17) true ; as from cenral limit theorum ; for sample size greater than 30 sample mean follows normal distribution

18)

hence false ; at least 97.

19)

false ; it is 1.86

20)false ; it is 2.5% on each tail.

for 95 % CI value of z= 1.9600 standard deviation = 10 margin of error E = 2 required sample size n=(z/E)2                                         = 97