Aresearcher asks participants to taste each of three meals and to choose the one they like best. the same foods are in each meal, however the calorie total of each meal is different. one is low in calories, one is moderate in calories and one is high in calories. based on the observed frequencies given below, what is an appropriate conclusion for this test at a .05 level of significance?

type of meal
low calorie moderate calorie high calorie
fo 6 7 17
fe 10 10 10

a. participants liked the high calorie meal more than the low calorie meal.
b. participants liked the low calorie meal less than the moderate calorie meal.
c. participants liked the high calorie meal more than was expected.
d. all of the above

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

is only a line? i think so