Discuss the below problem:
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 three pounds per person per day. In a random sample of 11 adults in the country, you find that the mean waste generated per person per day is 3.3 pounds and the standard deviation is 1.3 pounds. At ?=0.01, can you support the claim? Assume the population is normally distributed.
Q1) Write the claim mathematically and identify H0 and Ha.
Q2) Find the critical value(s) and identify the rejected region(s). What is (are) the critical value(s), t0?
Q3) Find the standardized test statistic.
Q4) Decide whether to reject or fail to reject the null hypothesis. Choose the right answer below.
(a) Fail to reject H0 because the standardized test statistic is not in the rejection region.
(b) Reject H0 because the standardized test statistic is in the rejection region
(c) Reject H0 because the standardized test statistic is not in the rejection region.
(d) Fail to reject H0 because the standardized test statistic is in the rejection region
Q5) Interpret the decision in the context of the original claim. Choose the right answer below.
a) There is not sufficient evidence to support the claim that the mean waste generated is less than 3 pounds per person per day.
b) There is sufficient evidence to support the claim that the mean waste generated is more than 3 pounds per person per day.
c) There is not sufficient evidence to support the claim that the mean waste generated is more than 3 pounds per person per day.
d) There is sufficient evidence to support the claim that the mean waste generated is less than 3 pounds per person per day.