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Chapter 9: Q. 116 (page 555)

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. At 伪=0.01 level, is the student academic group鈥檚 claim correct?

Short Answer

Expert verified

We can conclude that on average, freshman students study for at least2.5hours or150minutes.

Step by step solution

01

Given information

The freshman students study at least2.5hours per day. The mean study time is137minutes with a standard deviation of45minutes.

02

Explanation

State the hypotheses:

The null hypothesis states that on average, freshman students study at least 2.5hours or 150minutes. In symbols:

H0:渭鈮�150

The alternative hypothesis states that on average, freshman students study less than 2.5hours or 150minutes. In symbols:

H0=渭<150

State the P-value:

P-value=0.0622

State alpha:

a=0.01

Since the null hypothesis is not rejected, we can conclude that on average, freshman students study for at least 2.5hours or150minutes.

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