Hypotheses testing for a pollutant in a river
Not what you're looking for?
The mean level of pollutant in a river is known to be 1.1 mg/L with a standard deviation of 0.16 mg/L.
a) let the random variable X represent the mean level of pollutant in the measurements from a random sample of 25 sites along the river.
Write down the mean and standard deviation of X.
After a chemical spill, the mean level of pollutant from a random sample of 25 sites is found to be 1.2 mg/L. To determine whether this sample provides evidence that the mean level of pollutant has increased, a statistical test is carried out.
b) Write down suitable hypotheses H_0 and H_1 to test whether the mean levelofpollutant has increased.
c) i) Find the p value for this test, correct to four decimal places.
ii) State with a reason whether the sample supports the contention that there has been an increase in the mean level of pollutant after the spill. Test at the 5% level of significance.
d) For this test, what is the smallest value of the sample mean that would provide evidence that the mean level of pollutant has increased? That is, find X such that (see the attachment for full equation). Give your answer correct to three decimal places.
e) Suppose that for a level of significance of 2.5%, we find that (see the attachment for the full equation).
Purchase this Solution
Solution Summary
The Solution tests the hypotheses with a pollutant in a river.
Education
- BSc, University of Bucharest
- MSc, Ovidius
- MSc, Stony Brook
- PhD (IP), Stony Brook
Recent Feedback
- "Thank you "
- "Thank You Chris this draft really helped me understand correlation."
- "Thanks for the prompt return. Going into the last meeting tonight before submission. "
- "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
- "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.