Health Care Knowledge Systems reported that an insured woman

Health Care Knowledge Systems reported that an insured woman spends longer on average in the hospital after childbirth than an uninsured woman. Two samples of 16 women were taken and the following data were found. Test the claim that insured women spend longer in the hospital than uninsured women using an ? = .01.

Insured:

Mean = 2.3 days

Standard Deviation = 0.77

Sample Size = 16

Uninsured:

Mean = 1.9 days

Standard Deviation = 0.77

Sample Size = 16

Find the t value

Solution

Let mu1 be the mean for Insured

Let mu2 be the mean for Uninsured

The t value is
t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)

=(2.3-1.9)/sqrt(0.77^2/16+0.77^2/16)

=1.47