A researcher studies water clarity at the same location in a

A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is longer visible TV collected data is given in the table below. Complete parte (a) and (b) below Why is it important to take the measurements on the same date Using the same dates makes the second sample dependent on the first Using the same dates maximizes the difference in water clahty. Using the same date. makes it easier to remember to take samples Those arc the same dates that all biologists use to take water clarity samples Does the evidence suggest that the clarity of the lake is improving at the a = 0.05 level of significance Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outlers. Choose the

Solution

A)THE RESEARCHER CHOOSE TO THECK THE CLEARITY OF THE WATER ON TWO DAYS WITH THE TIME SPAN OF EXACT 5 YEARS AND IT WAS ESSENTIAL THE DATE TO BE EXACTLY THE SAME BECAUSE IT WILL MAXIMIZES THE WATER CLEARITY AND IT WILL BE EQUAL TIME SPAN FOR ALL THE DATE OF SAMPLE COLLECTION HENCE OPTION B IS CORRECT.

B) AS THE DATA GIVE INDICATE THE CLEARITY HAS INCREASED OVER THE SPAN OF 5 YEARS

AND THE ALPHA GIVEN IS 0.05

BUT THE CLEARITY HAS MOREVER INCREASE BY MORE THEN THE SIGNIFICANCE LEVEL IN OBSERVATION 1,2,3,& 6

HENCE WE WILL REJECT THE H0

hence option A is the answer