(Solved): Suppose a researcher beleves that the average height of forrale students in a large local high scho ...

Suppose a researcher beleves that the average height of forrale students in a large local high school is $140\mathrm{cm}$. The researcher wants to cons huct an interval that contains the true average heigh ar femele students in the local high school with a certain prespecifed probabily. The retearcher selects 36 female students at randoen from the high school, The distribution of heights is knewn to follow a narmal fintrityton The given table shows the data she colectod (in cm) 0 The averege height of the femade stidents in the given ample is tirn The sample standard devasion is er (Round your answers to fwo decitind places) The standard enor of the sample mean height is am The margh of enoc is calovating a $95\%$ cortidence inervat tor pie average haight of all female students in the local high school it con. (found your answers io two decinal ploces) The $95\%$ confidence irterval for the average height of all female students in the local high school, ${\vec{x}}_x$, is: (Rlound your answers to two decimal places)