# Answer on Statistics and Probability Question for Gwen

Question #1568

& An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day. The professor gathers information from random samples of undergraduate and graduate students on the LU campus. The amount of time praying is normally distributed and is measured on an interval/ratio scale.

<br>Graduate Undergraduate

<br>15& & & & & & & & & & & 9

<br>17& & & & & & & & & & & 11

<br>10& & & & & & & & & & & 9

<br>13& & & & & & & & & & & 6

<br>11& & & & & & & & & & & 5

<br>17& & & & & & & & & & & 6

<br><br>d. Conduct the appropriate analysis. Should H0 be rejected?

<br>Graduate Undergraduate

<br>15& & & & & & & & & & & 9

<br>17& & & & & & & & & & & 11

<br>10& & & & & & & & & & & 9

<br>13& & & & & & & & & & & 6

<br>11& & & & & & & & & & & 5

<br>17& & & & & & & & & & & 6

<br><br>d. Conduct the appropriate analysis. Should H0 be rejected?

Expert's answer

The results of an unpaired t-testt= 3.98

sdev= 2.69

degrees of freedom = 10

p = 0.003

The probability of this result, assuming the null hypothesis, is 0.003 < 0.05, thus we can reject the null hypothesis.

sdev= 2.69

degrees of freedom = 10

p = 0.003

The probability of this result, assuming the null hypothesis, is 0.003 < 0.05, thus we can reject the null hypothesis.

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