a. The standard error will decrease b. The margin of error will decrease c. The

Question

a. The standard error will decrease
b. The margin of error will decrease
c. The value of the confidence level multiplier will decrease.
d. The number of degrees of freedom will decrease
e. The size of the interval (width= upper - lower ) will decrease.
f. None of these will happen

1-for a confidence interval for a population mean M when sigma is unknown, increasing the sample size( for example, going from n=25 to n= 100) will affect the interval how? list all that apply from list above. Assume that the confidence level% stays the same

2- for a confidence interval for a population mean M when sigma is unknown, increasing the confidence level ( for example, going from 90% to 99% confidence) will effect the interval how ? list all aplly from list above. Assume that the sample size stays the same.

Explanation / Answer

(1) Width of the confidence interval = t * s/n. So,

a. The standard error will decrease
b. The margin of error will decrease

e. The size of the interval (width= upper - lower ) will decrease.

(2)  Width of the confidence interval = t * s/n. So,

f. None of these will happen.

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