Question

The average of the individual weights of garbages discarded by 17 households in one week have a mean of 35 lb. Assume that the standard deviation of the weights is 14.6 lb. Use α = .05 to test the claim that the population of households has a mean less than 33.22 lb, which is the maximum amount that can be handled by the current waste removal system.

H0:

HA:

α=

Z=

p=

Answer 1

H0: $\mu$ >= 33.22

Ha: $\mu$ < 33.22 (Left tailed)

$\alpha$ = significance level = 0.05

test statistics

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

= 33.22 - 35 / 14.6 / sqrt(17)

= -0.5027

This is test statistics value.

p value is 0.3076

Since p value > 0.05 level, we do not have sufficient evidence to reject H0.

We conclude at 0.05 level that we fail to support the claim the population of the households has a mean less

than 33.22 lb