Question

According to Zero Population Growth, the average urban U.S. resident consumes 3.3 pounds of food per day. Is this figure accurate for rural U.S. residents? Suppose 64 rural U.S. residents are identified by a random procedure and their average consumption per day is 3.60 pounds of food. Assume a population variance of 1.31 pounds of food per day. Use a 5% level of significance to determine whether the Zero Population Growth figure for urban U.S. residents also is true for rural U.S. residents on the basis of the sample data.

Answer 1

H0: $\mu$ = 3.3

Ha: $\mu$ $\neq$ 3.3

Test statistics

z = ($\bar{x}$ - $\mu$ ) / ($\sigma$ / sqrt (n) )

= ( 3.60 - 3.30) / sqrt ( 1.31 / 64 )

= 2.10

Critical values at 0.05 significance level = $\pm$ 1.96

Since test statistics > 1.96 , Reject H0.

We conclude at 0.05 level that we have sufficient evidence to support the claim.