In: Statistics and Probability
which of the following is in correct?
a. very small effects can be highly significant when a test is based on a large sample
b. outliers can have a large effect on the formation of confidence intervals
c. when forming confidence intervals it is very important that you only take large samples from normal populations
d. the margin of error for a confidence interval gets larger as the confidence level increases
Here, we have to answer which one of the following is incorrect.
a. very small effects can be highly significant when a test is based on a large sample
b. outliers can have a large effect on the formation of confidence intervals
c. when forming confidence intervals it is very important that you only take large samples from normal populations
d. the margin of error for a confidence interval gets larger as the confidence level increases.
ANSWER:- Here option a, b and d are correct.
Option c. is incorrect.
Hence, option c.when forming confidence intervals it is very important that you only take large samples from normal populations
is incorrect statement and is the correct alternative.
Explanation :- Option a. , b. and d. are directly based on concepts and are correct hence they do not need much explanation here.
Option c. is wrong.
Reason :- Option c.when forming confidence intervals it is very important that you only take large samples from normal populations
means that for forming the confidence interval it is necessary for us to take only large samples from Normal Populations. This is wrong as there is no compulsion of taking large samples only and we can take large or small sample as per our wish and requirement.
Hence, Option c.when forming confidence intervals it is very important that you only take large samples from normal populations
is incorrect.
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