Aconsumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams. you find a random sample of 48 12-ounce bottles of caffeinated soft drinks that has a mean caffeine content of 41.5 milligrams. assume the population standard deviation is 12.5 milligrams. at α=0.05, what type of test is this and can you reject the organization’s claim using the test statistic?

This test is z test and we reject the organization’s claim .

Step-by-step explanation:

Claim : The mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams.

n = No. of samples = 48

The population standard deviation is 12.5 milligrams.

Since n > 30 and population standard deviation is given .

So, we will use z test

Substitute the values in the formula :

Refer the z table for p value

p value = 0.9798

α=0.05

p value > α

So, we accept the null hypothesis.

So, we reject the organization’s claim .

Hence this test is z test and we reject the organization’s claim .

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58