Someone please help me solve this question, please show all the working out (in step by step) if possible please work out in paper.

Please draw the graph clearly as well. Thank you very. Please help me. I'm really having trouble solving this one.

Question

• Determine a 90% confidence interval for the sample data whenis known.
• State and testappropriatehypotheses for evaluating the squareness of the origami paper at a 1% level of significance whenis unknown for an SRS of size n=8.

Information

For Sample Mean: Belew is the observations that were assigned to the top 8 random numbers: Diagonal Length 247 247.5 242.5 249 247.5 248.9 248.9 242.5 f _ 24? + 247.5 + 242.5 + 249 + 28,415 + 248.9 + 248.9 + 242.5 X = 247.975 mm For Sample Standard Deviation: where 2:721,- 247.975? = (247 247.975? + (247.5 247.975? + (247.5 247.975? + (249 247.975? + (247.5 247.975? + (248.9 247.975? + {248.9 247.975? + (247.5 247.975? 2:10:7- 247.975? = 4.615 Then. Given: N = 12 (population) 71 = 8 (sample) For Mean of Popuaon: Using all the given diagonal lenglhs for the population _ 247 + 247.5 + 247.5 + 247.5 + 247.3 + 245.9 + 247 + 247.5 + 248.9 + 247.5 + 249 + 247.5 \"diagonal 12 \"diagonal = 247.7583 mm For Pnpdalion Standard Deviation: where 250:,- 247.7583? = (247 247.7583? + (247.5 247.7583? + (247.5 247.7583? + (247.5 247.7583? + (247.3 247.7583? + (248.9 247.7583? + (247 247.7583? + (247.5 247.7583? + (248.9 247.7583? + (247.5 247.7583? + (249 247.7583? + (247.5 247.7583? Egg.- 247.7583? = 5.909167 Then. a = W = 0.701734mm