In order to catch flying insects, bats emit high-frequency sounds as well as then find out the time till they hear the echo. When an insect is detected, the bat can find out the location of the insect by time it takes the echo to return. Researchers wanted to test the claim that the bat's range is more than 35 cm. They gathered the detection distances (in centimeters) of 11 bats. Summary information is as follows:
It was verified that detection distances of bats is normally distributed. The sample mean was 48.36 cm and sample standard deviation was 18.08 cm.
Find out the value of the test-statistic that would be used to compare against the value under the null hypothesis.