A simple random sample of size \( n=15 \) is drawn from a population that is normally distributed. The sample mean is found to be \( \bar{x}=27.4 \) and the sample standard deviation is found to be \( s=6.3 \). Determine if the population mean is different from 24 at the \( \alpha=0.01 \) level of significance. Complete parts (a) through ( \( d \) ) below. (c) State the conclusion for the test. A. Reject \( H_{0} \) because the P-value is greater than the \( \alpha=0.01 \) level of significance. B. Reject \( H_{0} \) because the P-value is less than the \( \alpha=0.01 \) level of significance. Do not reject \( H_{0} \) because the \( P \)-value is less than the \( \alpha=0.01 \) level of significance. Do not reject \( H_{0} \) because the \( P \)-value is greater than the \( \alpha=0.01 \) level of significance.

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.

Statistical analysis of the data is: required by professional associations. used to in order to interpret the data. required to torture research methods students. a waste of time when we already know the truth. used make a study more credible.

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 ( \( (\mathrm{O} \) ).

A design that has two conditions (treatments) with the same participants experiencing each condition is a(n): two independent groups design. repeated measures design. Analysis of Variance (ANOVA) design. single sample t test design. single sample Z test design.

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.