Question

Answer choices A and B are summary statistics. Answer choices C through K are inference techniques. Each answer choice is to be used only once.

Summary Statistics: A. Mean B. Five-number summary

Inference Techniques: C. 1-sample mean t-test D. Matched pairs E. 2-sample comparison of means F. One-way ANOVA G. Two-way ANOVA H. Simple linear regression I. Multiple regression J. 1-sample proportion test K. Chi-square test

_____ Part One. In the population, is there an association between the brand of the car owned by a person and the type of job that person has?

_____ Part Two. Is there evidence that the average height of men in the US has increased from 70 inches over the past ten years?

_____ Part Three. Is there evidence that the mean age of vegetarians is greater than the mean age of non-vegetarians in the US?

_____ Part Four. Is there evidence that the mean of the differences between the weight of a person, before and after following a low carb diet for three months, is greater than five pounds?

_____ Part Five. What is the interquartile range for the grades obtained by students in Stat 301 last semester? All grades are available for analysis.

_____ Part Six. Do the university, the school (liberal arts, science, engineering, technology, etc.) and the interaction between those two factors influence the salary of college professors?

_____ Part Seven. Is there evidence that the mean price of California oranges is not the same in Indiana, Illinois and Ohio?

_____ Part Eight. Is there evidence that the percentage of vegetarians in the US is less than 5%?

_____ Part Nine. In the population, can the long jump distance of a ten-year-old be predicted based on his/her height?

_____ Part Ten. What is the mean number of pets of the twenty neighbors of Russell street? Data is collected from all the twenty neighbors in that street.

_____ Part Eleven. Can the weight of a person be predicted based on time dedicated to exercise daily, their age and the amount of milk he/she consumes daily?

Answer 1

Part one:

Here we need to find the association between two categorical variables so chi square test should be used.

Correct option is: K. Chi-square test

Part two:

Here we need to make inference about the population mean so single sample t test ot z test should be used.

Correct option is C. 1-sample mean t-test

Pat three:

Here we need to compare population means of two independent samples so independent sample test will be used.

Correct option : E. 2-sample comparison of means

Part four:

Here we have paired observations So dependent sample test shoudl be used.

Correct option: D. Matched pairs

Part five:

Interquartile range is the difference of third quartile and first quartile.

Correct option: B. Five-number summary

Part six:

G. Two-way ANOVA

Part seven:

F. One-way ANOVA

Part eight:

J. 1-sample proportion test

Part nine:

H. Simple linear regression

Part ten:

A. Mean

Part eleven:

I. Multiple regression