The FDA regulates that fish that is consumed is allowed to contain $1\mathrm{.}0m\frac{g}{k}g$ of mercury. In Ohio, bass fish

were collected in $18$ different lakes to measure the amount of mercury in the fish. The data for the

average amount of mercury in each lake is in the table. Do the data provide enough evidence to show that

the fish in Ohio lakes has more mercury than the allowable amount? Test at the $10\%$ level.

Average Mercury Levels $(m\frac{g}{k}g)$ in Fish

State the hypotheses.

$H_0$:$|$

$H_a$:$?vv$

Calculate the test statistic. Round to three decimal places.

$\stackrel{}{x}=$

Calculate the standardized test statistic. Round to three decimal places.

$t=$

Find the p$-$value. Round to four decimal places.

$p-$value $=$

State your decision.

Since the p$-$value is greater than $0\mathrm{.}1,$ reject $H_0.$

Since the p$-$value is less than $0\mathrm{.}1,$ reject $H_0.$

Since the p$-$value is greater than $0\mathrm{.}1,$ fail to reject $H_0.$

Since the p$-$value is less than $0\mathrm{.}1,$ fail to reject $H_0.$

Interpret the results.

At the $10\%$ level of significance, there is enough evidence to conclude that the mean amount of

mercury in bass fish in Ohio is not equal to the allowable amount of $1\mathrm{.}0m\frac{g}{k}g.$

At the $10\%$ level of significance, there is enough evidence to conclude that the mean amount of

mercury in bass fish in Ohio is more than the allowable amount of $1\mathrm{.}0m\frac{g}{k}g.$

At the $10\%$ level of significance, there is enough evidence to conclude that the mean amount of

mercury in bass fish in Ohio is less than the allowable amount of $1\mathrm{.}0m\frac{g}{k}g.$