Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation).NOTE:For scientific notation, a period MUST be used as the decimal point marker.

Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.

For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

You are testing the claim that the mean GPA of night students is less than the mean GPA of day students. You sample 30 night students and 30 day students. Test the claim using a 10% level of significance. Assume the population standard deviations are unequal.

t-Test: Two-Sample Assuming Unequal Variances

Night

Day

Mean

2.8967

3.1872

Variance

0.2669

0.277582

Observations

30

30

Hypothesized Mean Difference

0

df

58

t Stat

-2.1557

P(T<=t) one-tail

0.01763

t Critical one-tail

1.6716

P(T<=t) two-tail

0.03526

t Critical two-tail

2.0017

The Hypotheses forthis problem are:

H0: 1=2

H1:1<2

Find the p-value. Round answer to 2 decimal places.Make sure you include the 0 in front of the decimal.

p - value =