Please show all work so it is easy to understand the steps to get the answer.

Who tends to be the gym rats, men or women? A researcher studying sports, exercise and fitness collects data on the extent to which college students use the gym, and wants to see if there are gender differences in frequency of working out. Rather than survey students who might give an inflated response (the so-called social desirability effect), she is able to access ID card sign-in records for a random sample of 100 students. Summary statistics on frequency of gym use over a two-week time period are as follows:

	Males	Females
Sample size	55	45
Mean	6.7	6.2
Standard Deviation	2.5	2.2

Using the .05 level of significance, test for sex differences in gym use. Make sure to interpret the findings (not just reject/retain null hypothesis).