An environmentalist estimates that the mean waste recycled b

An environmentalist estimates that the mean waste recycled by adults in the country is more than 1 pound per person per day. You want to test this claim. You find that the mean waste recycled per person per day for a random sample of 14 adults in the country is 1.1 pounds and the standard deviation is 0.3 pound. At a= 0.10, can you support the claim? Assume the population is normally distributed.

Write the claim mathematically and identify H_o and H_a

Which of the following correctly states H_o and H_a?

H_o: u ? 1 / H_a: u > 1

H_o: u = 1 / H_a: u < 1

find the critical value(s) and identify the rejection(s).

What is(are) the critical value(s), t_o?

1) t_{o = _______}

Solution

A)
H0:?? ? 1
Ha: ?? > 1(claim)

B)At ??=0.1 and d.f.=13, the t-score =1.350 =C.V.
the rejection region is to the right of this value.

C) t=(Xbar-??)/(??/sqrt(n))
=(1.3-1)/(0.3/sqrt(14)

=0.3/0.0802=3.741

D) Since the test value is to the right of the C.V., we reject H0.

E) There is enough evidence to support the claim that the mean waste recycled by adults in the country is more than 1 pound per person per day