Question

There are two common methods for measuring the concentration of a pollutant in fish tissue. Do the two methods differ on average? You apply both methods to a random sample of $18$carp and use

(a) the paired t-test for ${\mu }_d$.

(b) the one-sample z test for p.

(c) the two-sample t-test for${\mu }_1-{\mu }_2$

(d) the two-sample z test for $p_1-p_2$

(e) none of these.

Short answer

Apply both methods to a random sample of $18$ carp and use option (a) the paired t-test for ${\mu }_d$.

Step-by-step solution

Given information

The two common methods for measuring the concentration of a pollutant in fish tissue.

Random sample$=18$carp

Explanation

One proportion: one-sample z test/interval

Two proportion: two-sample z test/interval

One mean: one-sample t-test/interval

Mean difference: two-sample t-test/interval

Two means or mean differences with paired data in the two samples: paired t-test/interval

Use a test if you want to test for a difference, equality, increase or decrease. Use an interval if you want to estimate an interval in which the true value lies.

Paired t-test for${\mu }_d$.