Researchers were interested in testing the effects of wearing dark sunglasses on sharing behavior. In the study, 35 participants played a 'dictator game,' in which they were given $6 and told to divide that money between themselves and a stranger in a different room however they wanted. The stranger in a different room was actually a researcher in disguise, and the main dependent measure was how much money participants chose to share with the stranger (researcher in disguise). Your sample produced a mean of $1.92 shared with a standard deviation to estimate the population of $1.78 and the population mean amount of money shared by participants in previous research is $3.10. Report the critical t value, construct a 98% confidence interval about the population mean and write an interpretation of the confidence interval. Show the work in detail.

Critical t value: ____________

Lower limit: _______________

Upper limit: ___________________

Interpretation: