Question

A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 32 people in the U.S. and find an average of 53.3 pounds with a standard deviation of 4 pounds. Test at 10% significance.
Round to the fourth

Test Statistic:
P-value:

Answer 1

Solution :

Given that,

= 48.8

= 53.3

= 4

n = 32

The null and alternative hypothesis is ,

H₀ :   = 48.8

H_a : > 48.8

This is the right tailed test .

Test statistic = z

= ( - ) / / n

= ( 53.3 - 48.8) / 4 / 32

= 6.3640

Test statistic = 6.3640

P-value = P(Z > 6.3640)

= 1 - P (Z < 6.3640)

= 1 - 1.0000

= 0.0000

P-value = 0.0000