Question

True or False Question A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of 1.05 fluid ounces and a standard deviation of 0.15 fluid Ounces. Assume that the syrup content of a beverage is normally distributed. Then, to check the claim that the syrup content per beverage is about one ounce, we use the following test Ho: =1 against H: #1. Based on the samples, the p-value for the test is less than 0.05. True False

Answer 1

Solution:

It is

False

Explanation:

The test statistic t is

t =  
T-]/[s/n
= [1.05 - 1]/[0.15 /$\sqrt{}$25] = 1.667

Now ,

d.f. = n - 1 = 25 - 1 = 24

$\neq$ sign in Ha indicates that the test is TWO TAILED.

t = 1.667

Use t distribution table.

See the column of d.f.

Go to 24 d.f.

In the row of 24 , see where the value 1.667 fits in between.

It fits between 1.318 and 1.711

See the corresponding alpha values at TWO tailed

0.20 and 0.10

So , range of p value is 0.10 to 0.20

0.10 < p-value < 0.20

So ,

False