STAT HW8

docx

School

University of Minnesota-Twin Cities *

*We aren’t endorsed by this school

Course

611

Subject

Statistics

Date

Apr 3, 2024

Type

docx

Pages

Uploaded by ProfessorJellyfishMaster3516

STAT3011 HW 8 1) a) While all of the sample medians seem to be relatively close to one another, the Kellog’s cereal has a much wider distribution of sodium levels with one outlier below the values. Quaker Oats has the second widest IQR, but has no outliers and General Mills has the smallest IQR with two outliers falling far above their largest value. Based on this information I would assume that Kellog’s pop. mean may fall above the other companies if excluding outliers. If outliers are included, then I would assume that General Mill’s pop. mean and Kellog’s pop. mean would differ greatly from the pop. mean of Quaker Oats. b) H0: u1 = u2 = u3 , Ha: at least two of the population means differ c) Source df SS MS F Group 2 10762 5381 0.891 Error 27 162999 6037 Total 173761 2) a) Assumptions: the distribution for each group is normally distributed, the standard deviation for each group is the same, and the data was obtained using randomization. The sodium content appears to be normally distributed based on the information provided, but the standard deviation of each group is not provided. The data obtained was through random sampling. b) > pf(0.891,2,27,lower.tail= FALSE) [1] 0.4219663 c) This test statistic uses the F-distribution and the value of 0.891 is below F=1 d) Based on the P-value of 0.422 which is greater than alpha=0.05, we do not reject the null hypothesis and can conclude that there is no significant difference between the mean sodium content of the three brands of cereal. e)

Discover more documents: Sign up today!

Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get: