Question

2) Billy-Bob thinks that Pepsi is cheating him! He bought 36 cans of Pepsi and found the mean amount of soda to be 11.79 ounces with a standard deviation of 0.21. Make a 95% confidence interval for the mean amount of soda in each can. Is Pepsi filling the cans with less than 12 ounces of soda?

Answer 1

2)

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :   = 12

H_a : < 12

Test statistic = z

= ( - ) / / n

= (11.79 - 12) / 0.21 / 36

= -6

P(z < -6) = 0

P-value = 0

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the Pepsi filling the cans with less than 12 ounces of soda .