Letxbe a random variable that represents the batting average of a professional baseball player. Letybe a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample ofn= 6 professional baseball players gave the following information.x0.344 0.272 0.340 0.248 0.367 0.269

y2.6 7.1 4.0 8.6 3.1 11.1

(a) Verify thatx=1.84,y=36.5,x²=0.576474,y²=279.95,xy=10.442, andr-0.894.x

(b) Use a10%level of significance to test the claim that?0. (Use 2 decimal places.)

t-3.99

criticalt2.132

(c) S_e1.7077,a24.958, andb-61.548.

(d) Find the predicted percentageof strikeouts for a player with anx=0.28batting average.= 7.72

(e) Find a95%confidence interval for y when x=0.28. (Use 2 decimal places.)

lower limit

upper limit

note: I solved all the parts above, however i do not know how to find the confidence interval in part e. Please if you find the right formula mentioned the steps so then I can understand it.

Thanks so much