Answer:
[tex]19.55\pm2.145[/tex]
Step-by-step explanation:
We use the equation [tex]\bar x\pm z^*\sigma/\sqrt n[/tex], where [tex]\bar x=19.55[/tex], [tex]\sigma=6.33[/tex], [tex]n=41[/tex], and [tex]z^*=2.17[/tex]. We obtain [tex]z^*[/tex] from the z-score of a 0.97 confidence level.