Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does eye grease work? In one study, 16 student subjects took a test of visual sensitivity to light‑and‑dark contrast after three hours facing into bright sun, both with and without eye grease. This is a matched pairs design. If eye grease is effective, subjects will be more sensitive to contrast when they use eye grease. The differences in sensitivity, with eye grease minus without eye grease, are provided in the table. Differences in Sensitivity 0.070.07 0.640.64 −0.12−0.12 −0.05−0.05 −0.18−0.18 0.140.14 −0.16−0.16 0.030.03 0.050.05 0.020.02 0.430.43 0.240.24 −0.11−0.11 0.280.28 0.050.05 0.290.29 STATE: We want to know whether eye grease increases sensitivity on the average. Suppose that the subjects are an SRS of all young people with normal vision, that contrast differences follow a Normal distribution in this population, and that the standard deviation of differences is ?=0.22.. Carry out a test of significance. SOLVE: What is the value of the test statistic? Give your answer to two decimal places. ?= Find the ?-value�value of the test. Give your answer to four decimal places. ?-value:�-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

See similar textbooks

Related questions

Question

Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does eye grease work? In one study, 16 student subjects took a test of visual sensitivity to light‑and‑dark contrast after three hours facing into bright sun, both with and without eye grease. This is a matched pairs design. If eye grease is effective, subjects will be more sensitive to contrast when they use eye grease. The differences in sensitivity, with eye grease minus without eye grease, are provided in the table.

Differences in Sensitivity

0.070.07	0.640.64	−0.12−0.12	−0.05−0.05	−0.18−0.18	0.140.14	−0.16−0.16	0.030.03
0.050.05	0.020.02	0.430.43	0.240.24	−0.11−0.11	0.280.28	0.050.05	0.290.29

STATE: We want to know whether eye grease increases sensitivity on the average.

Suppose that the subjects are an SRS of all young people with normal vision, that contrast differences follow a Normal distribution in this population, and that the standard deviation of differences is ?=0.22.. Carry out a test of significance.

SOLVE: What is the value of the test statistic? Give your answer to two decimal places.

Find the ?-value�value of the test. Give your answer to four decimal places.

?-value:�-

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution