An environmentalist estimates that the mean waste recycled by adults is more than $1$ pound per

day. You want to test this claim. You find that the mean waste recycled per person per day for a

random sample of $8$ adults in the country is $1\mathrm{.}1$ pounds and the standard deviation of the

population is $0\mathrm{.}2$ pounds. At $=0\mathrm{.}5,$ can you support this claim? Assume the population is

normally distributed.

a$)$ State the claim as a mathematical statement

b$)$ State the null hypothesis $H0$

c$)$ State the alternate hypothesis $H$

d$)$ State the test statistic

e$)$ Do you reject $H0$ or fail to reject $H0?$

f$)$ Can you support the claim?