Assume the random variable \( X \) is normally distributed, with mean \( \mu=60 \) and standard deviation \( \sigma=4 \). Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)

The estimated standard error (SM), provides a measure of the average discrepancy between: a score ( x ) and the population mean ( \( \mu \) ). a sample mean (M) and the population mean ( \( \mu \) ). the sample standard deviation ( s ) and the population standard deviation ( \( (\mathrm{O} \) ).

By selecting a smaller alpha level, a researcher is: attempting to make it easier to reject the null (HO). attempting to make it easier to reject the alternative (H1). reducing the risk of a Type I error. attempting to decrease the standard error.

A researcher risks a Type I error: anytime HO is rejected. anytime H 1 is rejected. anytime HO is accepted. anytime the sample size is increased.

The probability of committing a Type I error: is solely determined by the size of the treatment effect. cannot be controlled by the experimenter. is determined by the alpha (a) level that one chooses. is determined by the beta ( \( \beta \) ) level one chooses. is determined by the sample size that one chooses.

A researcher rejects the null hypothesis only if the obtained statistical results show: that it is likely that the null is true. that it is unlikely that the null is true. that it is likely that the alternative hypothesis is false. that is unlikely that the alternative hypothesis is false.