Researchers speculate that drivers who do not wear a seatbelt are more likely to speed than drivers who do wear one. A random sample of 20 drivers had their speed measured at a certain point, and were then observed to see whether they were wearing a seatbelt. Summary statistics for the drivers are shown below: Summary statistics for speed:  Grouped by: seatbelt Seatbelt  n    mean            Std. dev. n             8     72.5             8.815571 y             12   65.333336   7.487363   A test was carried out to test the null hypothesis that the mean speed was equal for the drivers wearing and not wearing seatbelts, against the alternative that drivers not wearing seat belts travel faster on average. The test statistic was -1.889 (seatbelt mean minus non-sentbelt mean). Using the methods learned in class, what can you say about the P-value for this test statistic? (a) 0.0588 (b) larger than 0.10 (c) 0.0294 (d) between 0,05 and 0.10 (e) between 0.025 and 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Researchers speculate that drivers who do not wear a seatbelt are more likely to speed than drivers who do wear one. A random sample of 20 drivers had their speed measured at a certain point, and were then observed to see whether they were wearing a seatbelt. Summary statistics for the drivers are shown below:

Summary statistics for speed: 

Grouped by: seatbelt

Seatbelt  n    mean            Std. dev.

n             8     72.5             8.815571

y             12   65.333336   7.487363

 

A test was carried out to test the null hypothesis that the mean speed was equal for the drivers wearing and not wearing seatbelts, against the alternative that drivers not wearing seat belts travel faster on average. The test statistic was -1.889 (seatbelt mean minus non-sentbelt mean). Using the methods learned in class, what can you say about the P-value for this test statistic?

(a) 0.0588

(b) larger than 0.10

(c) 0.0294

(d) between 0,05 and 0.10

(e) between 0.025 and 0.05

ン
Researchers speculate that drivers who do not wear a seatbelt are more likely to speed
than drivers who do wear ene. A random sample of 20 drivers had their speed measured
st a certain point, and were then observed to see whether they were wearing a seatbelt.
Summary statistics for the drivers are shown below:
1
Summary statisticc for speed:
Group by: seatbelt
seatbelt n Mean
Std. Dev.
8 72.5
8.815571
y
12 65.333226 7.487363
A test was carried out to test the null hypothesis that the mean speed was equal for
the drivers wearing and not wearing seatbelts, against the alternative that drivers nok
wearing seat belts travel faster on average. The test statistic was -1.889 (seatbelt mean
mimas non-sentbelt mean). Using the methods learned in class, what can you say about
the P-value for this test statistic?
(a) 0.0588
(b) larger than 0.10
(c) 0.0294
(d) between O.05 and 0.10
(e) between 0.025 and 0.05
Transcribed Image Text:ン Researchers speculate that drivers who do not wear a seatbelt are more likely to speed than drivers who do wear ene. A random sample of 20 drivers had their speed measured st a certain point, and were then observed to see whether they were wearing a seatbelt. Summary statistics for the drivers are shown below: 1 Summary statisticc for speed: Group by: seatbelt seatbelt n Mean Std. Dev. 8 72.5 8.815571 y 12 65.333226 7.487363 A test was carried out to test the null hypothesis that the mean speed was equal for the drivers wearing and not wearing seatbelts, against the alternative that drivers nok wearing seat belts travel faster on average. The test statistic was -1.889 (seatbelt mean mimas non-sentbelt mean). Using the methods learned in class, what can you say about the P-value for this test statistic? (a) 0.0588 (b) larger than 0.10 (c) 0.0294 (d) between O.05 and 0.10 (e) between 0.025 and 0.05
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