Given the below measurements and formulae, within what range may you assert that

Question

Given the below measurements and formulae, within what range may you assert that

the true mean of the caffeine concentration will be, and in so doing, suffer only a 20%

chance of being wrong?

Page 2 of / measurements and formulae, within what range may you assert that tli the true mean of the caffeine concentration will be, and in so doing, suffer only a 20% chance of being wrong? Degrees Data of teRmCAL freedom80% Measurement 90% -95% 6.31 12.71 4.30 2.35 312 2.78 2.57 , , 1 45.31 2 45.19 3 45.50 average 45.33 mg 3.08 1.89 1.64 1.53 1.48 2 2.92 4 2.13 standard deviation0.16 mg 2.02

Explanation / Answer

In this Case we should construct 80% confidence interval for population mean

Degrees of freedom = 3 - 1 = 2

T critical value = 1.89 on 2 degrees of freedom at 80% confidence

Formula

(Xbar +/- T critical * S/sqrt(n))

Calculations

= (45.33 +/- 1.89 * 0.16/sqrt(3))

= (45.155, 45.505)

Therefore the range true mean of the caffeine concentration will be, and in so doing, suffer only a 20% chance of being wrong are (45.155, 45.505)

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.