Question

use data from q7 to answer 11

QUESTION 7 3 points Problem 7 . an environmentalist estimates that mean waste recycled by adults in the United States is more than 1 pound per person per day. Y est this claim. You find that the mean waste recycled per person per day for a random sample of 12 ad in the United State is 1.46 pounds and the standard deviation 0.28 pound, AT 0.05. please do a hypothesis test based on t distribution ANUNTULUI

Answer 1

Solution :

This is one tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 1

H_a : $\mu$ > 1

Test statistic (t)

= ($\bar x$ - $\mu$) / s / $\sqrt$n

= (1.46 - 1) /0.28 / $\sqrt$12

Test statistic = 5.691

P(z > 5.691) = 1 - P(z < 5.691) = 1 - 1

P-value = 0

$\alpha$ = 0.05

P-value < $\alpha$

Yes. Reject the null hypothesis .