As part of your work for an environmental awareness group yo

As part of your work for an environmental awareness group, you want to test the claim that the mean waste generated by adults in the country is more than 33 pounds per person per day. In a random sample of 99 adults in the country, you find that the mean waste generated per person per day is 3.1 pounds and the standard deviation is1.6pounds. At =0.10,

can you support the claim? Assume the population is normally distributed.

(b) Find the critical value(s) and identify the rejection region(s).

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

t0?

t0equals=

(c) Find the standardized test statistic.

The standardized test statistic is given by the following formula.

tequals=StartFraction x overbar minus mu Over s divided by StartRoot n EndRoot EndFraction

) Decide whether to reject or fail to reject the null hypothesis.

e) Interpret the decision in the context of the original claim.

Solution

The test hypothesis is
Ho:=3
Ha:>3

df=n-1=9-1=8

b)

Given =0.1, for right tailed test, the critical value is t₀=1.397 (check student t table)

c)

The standardized test statistic is:

t=(xbar-)/(s/n)

=(3.1-3)/(1.6/sqrt(9))

=0.188

d)

Since t=0.188 is less than 1.397, we do not reject Ho.

e)

We cannot support the claim that the mean waste generated by adults in the country is more than 3 pounds per person per day.