How well can you type with your eyes closed? A study was conducted using 6 adult volunteers who are proficient at typing. Each volunteer was given two tests. Test A required each volunteer to type 100 words that were written on a piece of paper. Test B required each volunteer to type 100 words while blind-folded. During this test, the volunteers put on headphones and heard the words being read to them from a recording. The order in which the tests were given were randomized for each volunteer. The table below shows the number of words each volunteer typed correctly as well as the difference (A-B) in the number of words typed correctly. Volunteer Test A (Vision) Test B (No vision) Difference (A-B) 12 3 4 5 6 82 54 77 58 94 85 78 53 64 46 88 88 1 13 12 6-3 Do these data provide convincing evidence at the a=0.10 level that the number of words that adult volunteers like these would type correctly using these two tests differs, on average? STATE: Ho correct words Ha correct words 14-diff=v The evidence for H, is that PLAN: Make a graphical display of the differences, then check the 2 correct statements for a paired 1-test for a mean difference. Random: The volunteers were randomly assigned a test Normal/Large Sample: nam is small, but a graphical order. Normal/Large Sample: nan = 6 is large (>30) Normal/Large Sample: This condition is not met. display of the differences shows no strong skewness or outliers. Random: A random sample of 6 adults were selected. DO: Enter the test statistic to 2 decimal places. 1-statistic=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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K
BFW Publishers
How well can you type with your eyes closed? A study was conducted using 6 adult volunteers who are proficient at typing.
Each volunteer was given two tests. Test A required each volunteer to type 100 words that were written on a piece of paper. Test
B required each volunteer to type 100 words while blind-folded. During this test, the volunteers put on headphones and heard
the words being read to them from a recording. The order in which the tests were given were randomized for each volunteer.
The table below shows the number of words each volunteer typed correctly as well as the difference (A-B) in the number of
words typed correctly.
Volunteer
Test A (Vision)
Test B (No vision)
Difference (A-B)
1 2 3
82 54 77
78 53 64 46 88 88
4 1 13 12 6-3
4
5
6
58 94
85
Do these data provide convincing evidence at the a=0.10 level that the number of words that adult volunteers like these would
type correctly using these two tests differs, on average?
STATE:
Ho
Ha
Hdiff
The evidence for H, is that
correct words
correct words
PLAN: Make a graphical display of the differences, then check the 2 correct statements for a paired t-test for a mean
difference.
ㅁㅁ
order.
Random: The volunteers were randomly assigned a test Normal/Large Sample: Rain is small, but a graphical
display of the differences shows no strong skewness or
outliers.
Normal/Large Sample: nam 6 is large (>30)
Normal/Large Sample: This condition is not met.
Random: A random sample of 6 adults were selected.
DO: Enter the test statistic to 2 decimal places.
1-statistic=
MacBook Air
Transcribed Image Text:K BFW Publishers How well can you type with your eyes closed? A study was conducted using 6 adult volunteers who are proficient at typing. Each volunteer was given two tests. Test A required each volunteer to type 100 words that were written on a piece of paper. Test B required each volunteer to type 100 words while blind-folded. During this test, the volunteers put on headphones and heard the words being read to them from a recording. The order in which the tests were given were randomized for each volunteer. The table below shows the number of words each volunteer typed correctly as well as the difference (A-B) in the number of words typed correctly. Volunteer Test A (Vision) Test B (No vision) Difference (A-B) 1 2 3 82 54 77 78 53 64 46 88 88 4 1 13 12 6-3 4 5 6 58 94 85 Do these data provide convincing evidence at the a=0.10 level that the number of words that adult volunteers like these would type correctly using these two tests differs, on average? STATE: Ho Ha Hdiff The evidence for H, is that correct words correct words PLAN: Make a graphical display of the differences, then check the 2 correct statements for a paired t-test for a mean difference. ㅁㅁ order. Random: The volunteers were randomly assigned a test Normal/Large Sample: Rain is small, but a graphical display of the differences shows no strong skewness or outliers. Normal/Large Sample: nam 6 is large (>30) Normal/Large Sample: This condition is not met. Random: A random sample of 6 adults were selected. DO: Enter the test statistic to 2 decimal places. 1-statistic= MacBook Air
The P-value is
CONCLUDE:
Because the P-value
a=0.10, the correct decision is to
convincing evidence at the a = 0.10 level that the mean difference (A
correctly is
O for adults like these.
the null hypothesis. There
B) in number of words typed
Transcribed Image Text:The P-value is CONCLUDE: Because the P-value a=0.10, the correct decision is to convincing evidence at the a = 0.10 level that the mean difference (A correctly is O for adults like these. the null hypothesis. There B) in number of words typed
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