In an article appearing in today’s health a writer states that the average number of calories in a serving of popcorn is 75. to determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7. at the a = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?

The nutritionist have enough evidence to reject the writer’s claim .

Step-by-step explanation:

Claim : The average number of calories in a serving of popcorn is different from 75

Null hypothesis :

Alternate hypothesis :  

n = 20

Sample standard deviation s = 7

Since n < 30 and population standard deviation is not given .

So, we will use t - test .

Formula :

Substitute the values

So, t calculated = 1.9166

Degree of freedom = n-1 = 20-1 = 19

Refer the t table

So,

Since t critical > t calculated

So, we are fail to reject the null hypothesis .

So,  the nutritionist do not have enough evidence to reject the writer’s claim .

kk.bj.

step-by-step explanation:

.mnm.kn.kj

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.