What fraction of vertical bars in Figure 4-5a is expected to include the population mean (10 000) if many experiments are carried out? Why are the 90% confidence interval bars longer than the 50% bars in Figure 4 - 5?

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1 Gaussian curve for light bulbs (Fig 4-1) 2 3 mean 4 5 std dev x (hours) y (bulbs) 500 525 550 600 700 800 845.2 900 1000 1100 1200 0.49 1.25 2.98 13.64 123.11 359.94 403.85 340.99 104.67 10.41 0.34 845.2 94.2 7 total bulbs 4768 9 hours per bar- 10 20 11 sr2 pi) 12 13 14 15 Formula for cell C4- 16 (SA$8 SA$10/(SA$6 SA$12))* 17 2.506628 EXP(-((B4-SA$4)A2)/(2 $A$6n2))