Question

A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 2.9 pounds per year. Assume the population standard deviation is 1.13 pounds. At alphaequals 0.04​, can you reject the​ claim?

A-identify the null and alternate hypothesis

B-Identify the standardize test statistic

C-find P Value

D-decide to reject or fail to reject the null hypothesis

Answer 1

a)

H0: = 3.2

Ha: 3.2

b)

Test statistics

z = ( - ) / ( / sqrt(n) )

= ( 2.9 - 3.2) / ( 1.13 / sqrt(80) )

= -2.37

c)

p-value = 2 * P(Z < z)

= 2 * P(Z < -2.37)

= 2 * 0.0089 (From Z table)

= 0.0178

d)

Since p-value < 0.04 significance level, Reject H0