I can\'t seem to understand how the p-value was calculated. Where does \"e\" com

Question

I can't seem to understand how the p-value was calculated.

Where does "e" come from and how was it computer? thank you in advance

P-value = 2* (1 pt(7.495,65))

=2*(1.151504e-10)

2.303009e-10

Example: A Complete Hypothesis Test Use the data summarized in the table to test the claim that the mean number of dollars spent on the last haircut is different for females and for males at this school Females 119 42.78 41.40 Males 13.13 9.80 Hypotheses. Assumptions and Significance Level Use ?-0.05. Check conditions for a two-sample t-test: Samples are random, with independent observations. Both sample sizes are larger than 30. Samples are independent.

Explanation / Answer

Lets use here Excel command.

=TDIST(7.495,65,2)

=2.30301E-10

Where 2.30301E-10 = 0.000000000230301

Since, 0.000000000230301 has large number of decimals therefore, calculator as well as Excel consider this value 2.30301E-10

Degree of freedom is smaller between n1-1 or n2-1

Sample sizes are 119 and 66

Therefore, degree of freedom =65

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