Rapid Eye Movement (REM) sleep, often linked with dreaming, is marked by very high brain activity. In fact, REM periods may be the sleep periods in which the brain is most active. REM sleep takes up a mean of about 25% of the total sleep time, but this varies from person to person. Suppose that in an experimental study, sleep researchers examine 7 adults who are classied as "very active" in their daily lives, 7 who are classified as "moderately active," and 7 who are classified as "inactive." The researchers record, for each participant, the percentage of total sleep time over the course of several nights that is spent in REM sleep. The summary is as follows. Sample Sample Sample Groups . . Size mean variance Very active 7' 27.2 16.6 Moderately 7 25.1 4.6 active Inactive 7 28.5 28.6 Send data to Excel The researchers do a one-way, independent-samples ANOVA test of the hypothesis that there is no difference in percentage of sleep time spent in REM among the three populations of "very active," "moderately active," and \"inactive" adults. Espanol The researchers do a one-way, independent-samples ANOVA test of the hypothesis that there is no difference in percentage of sleep time spent in REM among the three populations of "very active," "moderately active," and "inactive\" adults. (a) This ANOVA test is summarized in the (partially filled) ANOVA table below. Fill in the remaining cells of this ANOVA table. (In the ANOVA table, round your answers for the mean squares and the Fstatistic to at least two decimal places each.) Source of Degrees of Sum of _ _ r; variation freedom squares Mean square FStEtIStlc X 53 ' Between 4 groups ' Error (within D 298.80 E groups) Total D 340.01 (b) Using the 0.05 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. D X 3 (c) Can the researchers conclude, u5ing the 0.05 level of significance, that at least one of the populations of adults differs from the others in mean percentage of sleep time spent in REM? D Yes 0 No X f}