In a recycling study a sample of 62 household weighed the am

In a recycling study, a sample of 62 household weighed the amount of plastic they recycled. The mean weight was 1.911 lbs. and the standard deviation was 1.065 lbs. Use a 0.05 significance level to test the claim that the mean weight of recycled plastic from households is greater than 1.8 lbs. Show work. Use critical value method.
A) Null hypothesis: ?
B) Alternative hypothesis: ?
C) test statistic: ?
D) critical value: ?
E) initial conclusion: ?
F) conlsuion: ?

Solution

A & B)Set Up Hypothesis
Null, H0: U=1.8
Alternate, H1: U>1.8
C)
Test Statistic
Population Mean(U)=1.8
Sample X(Mean)=1.911
Standard Deviation(S.D)=1.065
Number (n)=62
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =1.911-1.8/(1.065/Sqrt(61))
to =-0.5
P-Value :Right Tail - Ha : ( P > -0.5 ) = 0.69056
D)
Critical Value
The Value of |t | with n-1 = 61 d.f is 1.67
We got |to| =0.5 & | t | =1.67
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho

E)
mean weight of recycled plastic from households is greater than 1.8

F)
We don\'t have evidence to indicate that mean weight of recycled plastic from households is greater than 1.8