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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, Xi 47.7 38.3 43.9 41.2 49.5 51.7 Depth Five Years Later, Yi 56.0 37.4 49.7 44.5 54.6 53.8 a) Why is it important to take the measurements on the same date? A. Those are the same dates that all biologists use to take water clarity samples. B. Using the same dates makes it easier to remember to take samples. C. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date. Your answer is correct.D. Using the same dates maximizes the difference in water clarity. b) Does the evidence suggest that the clarity of the lake is improving at the alpha equals 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 outliers. Let diequalsXiminusYi. Identify the null and alternative hypotheses. Upper H 0: mu Subscript d equals 0.050 0 Upper H 1: mu Subscript d less than 0.050 0 (Type integers or decimals. Do not round.) Determine the test statistic for this hypothesis test. nothing (Round to two decimal places as needed.)
A researcher studies water clarity at the same location in a lake on the same dates during the co...
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 gates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth on inches) at which it is no longer visible. The collected data is given the table below. Complete parts (a) through (c) below Observation 1 2. 3 4 5 6 Date 1/253/195/30 7/3...
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 is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 5 Date 1/253/195/307/39/13 1117 Initial Depth, X 52.6 395...
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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 Date 1/253/195/307/39/13 11/7...
A researcher studies water darity 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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 Date 1/253/195/30 7/3...
4 A researcher studies water clarity of the same location in a lake on the same dates during the course of a year and repeat the measurements on the same dates 5 years later. The researcher immerses a weighted disk parted back and white and measure the depth (in inches) at which it is no longer vible. The collected data is given in the table below. Complete parts (a) through (c) below Observation 1 2 3 5 60 Date 1125...
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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 5 6 Date 125 3/195/307/39/13...
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 no longer visible The collected data is given in the table below. Complete parts (a) through (c) below Observation Date 4 Initial Depth, X Depth Five Years...
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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 5 6 Date 1/25 3/195/30...
8 Question Help 6 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 no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4...
please help! thank you! Ateacher studies water carly at the same location in a lake on the same dates during the course of a year and repeals the measurements on the same datos 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which is no longer visible. The collected data is given in the table below Complete parts () through (c) below Observation + 2 3 4 5 6...