Question

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 Midwestern university. Although the samples were not
selected at random, they were selected to be representative of the
two populations.

For the sample of users of the website, the mean number of hours
studied per day was 1.41 hours and the standard deviation was 0.83
hours. For the sample of students who do not use the website, the
mean was 2.71 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 a
statistical computer package to calculate the *P*-value. Use
*μ*_{users} − *μ*_{not users}. Round
your test statistic to two decimal places, your df down to the
nearest whole number, and your *P*-value to three decimal
places.)

t |
= |

df | = |

P-value |
= |

State your conclusion.

Reject *H*_{0}. 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.Do not reject
*H*_{0}. 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. Do
not reject *H*_{0}. 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
*H*_{0}. 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.

Answer #1

**t =-9.36**

**df =-9.36**

**p value=0.000**

Reject *H*_{0}. 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.

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 Midwestern university. Although the samples were not
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