It has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate...

It has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants(n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of
(M₁)
 with a variance of(S₁
²). The second group of different participants(n=20) reads a vignette describing a person that never gossips and obtains an average likability score of
(M₂)
with a variance of(S₂
²). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at analpha=0.05.

what is the null hypothesis

what is the alternate hypothesis

what is the critical value

what is the obtained value

is it necessary for f max to be calculated, if so what are the calculations

is it necessary to calculate confidence intervals

report results