W Kathy Willens/AP Images 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 0.64 -0.12 0.07 0.05 0.02 0.43 -0.05 0.24 -0.18 0.14 -0.16 -0.11 0.28 0.05 0.03 0.29 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! STATE: We want to know whether eye grease increases sensitivity on the average.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Related questions
Question
W
Kathy Willens/AP Images
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
0.07 0.64
0.05 0.02
-0.12
0.43
0.14
-0.05 -0.18
-0.11 0.28
0.24
-0.16
0.05
0.03
0.29
To access the data, click the link for your preferred software format.
CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab 18+ PC-Text R SPSS TI CrunchIt!
STATE: We want to know whether eye grease increases sensitivity on the average.
Data simulated from a Normal distribution based on information in Brian M. DeBroff and Patricia J. Pahk, "The ability of periorbitally applied antiglare products
to improve contrast sensitivity in conditions of sunlight exposure," Archives of Ophthamology, 121 (2003), pp. 997-1001.
Suppose that the subjects are an SRS of all young people with normal vision, that contrast differences follow a Normal
Transcribed Image Text:W Kathy Willens/AP Images 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 0.07 0.64 0.05 0.02 -0.12 0.43 0.14 -0.05 -0.18 -0.11 0.28 0.24 -0.16 0.05 0.03 0.29 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab 18+ PC-Text R SPSS TI CrunchIt! STATE: We want to know whether eye grease increases sensitivity on the average. Data simulated from a Normal distribution based on information in Brian M. DeBroff and Patricia J. Pahk, "The ability of periorbitally applied antiglare products to improve contrast sensitivity in conditions of sunlight exposure," Archives of Ophthamology, 121 (2003), pp. 997-1001. Suppose that the subjects are an SRS of all young people with normal vision, that contrast differences follow a Normal
O Macmillan Learning
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 o = 0.22. Carry out a test of significance.
SOLVE: What is the value of the test statistic? Give your answer to two decimal places.
Z=
1.84
Find the P-value of the test. Give your answer to four decimal places.
P-value:
Q
0.0856
Incorrect
38
k
DII
F8
F9
F10
ที
FI
F12
Transcribed Image Text:O Macmillan Learning 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 o = 0.22. Carry out a test of significance. SOLVE: What is the value of the test statistic? Give your answer to two decimal places. Z= 1.84 Find the P-value of the test. Give your answer to four decimal places. P-value: Q 0.0856 Incorrect 38 k DII F8 F9 F10 ที FI F12
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