Use the sample information R = 40, sigma = 7.n = 13 to calculate the following c

Question

Use the sample information R = 40, sigma = 7.n = 13 to calculate the following confidence intervals for u assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from to (d) Describe how the intervals change as you increase the confidence level. The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases. References Worksheet

Explanation / Answer

here std error =std deviation/(n)1/2 =1.9415

for 90% CI, z=1.6449

hence confidence interval =sample mean -/+ z*std error =36.8066 ; 43.1934

b)for 95% CI, z=1.96

hence confidence interval =sample mean -/+ z*std error =36.1948 ; 43.8052

c)for 99% CI, z=2.5758

hence confidence interval =sample mean -/+ z*std error =34.9992 ; 45.0008

d)the interval gets wider as confidence interval increases

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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