A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public university. Although the samples were not selected at random, they were selected to be representative of the two populations. USE SALT For the sample of users of the website, the mean number of hours studied per day was 1.46 hours and the standard deviation was 0.83 hours. For the sample of students who do not use the website, the mean was 2.72 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the website at this university is less than the mean time spent studying by students at the university who do not use the website? Use a significance level of 0.01. (Use μusers - not users') Find the test statistic. (Round your answer to two decimal place.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. Reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Fail to reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Fail to reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.

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
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A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how
many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently
selected from students at a large, public university. Although the samples were not selected at random, they were selected to be representative of the two populations.
USE SALT
For the sample of users of the website, the mean number of hours studied per day was 1.46 hours and the standard deviation was 0.83 hours. For the sample of students who do not use
the website, the mean was 2.72 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the
website at this university is less than the mean time spent studying by students at the university who do not use the website? Use a significance level of 0.01. (Use μusers - "not users')
Find the test statistic. (Round your answer to two decimal place.)
t =
Find the df. (Round your answer down to the nearest whole number.)
df =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
State your conclusion.
Reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the
university who do not use the website.
Fail to reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the
university who do not use the website.
Reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the
university who do not use the website.
Fail to reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students
at the university who do not use the website.
Transcribed Image Text:A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public university. Although the samples were not selected at random, they were selected to be representative of the two populations. USE SALT For the sample of users of the website, the mean number of hours studied per day was 1.46 hours and the standard deviation was 0.83 hours. For the sample of students who do not use the website, the mean was 2.72 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the website at this university is less than the mean time spent studying by students at the university who do not use the website? Use a significance level of 0.01. (Use μusers - "not users') Find the test statistic. (Round your answer to two decimal place.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Fail to reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Reject Ho. We have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website. Fail to reject Ho. We do not have convincing evidence that the mean time spent studying for the website users at this university is less than the mean time spent studying by students at the university who do not use the website.
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