Use the sample information 11formula13.mml = 40, = 4, n = 20 to calculate the fo

Question

Use the sample information 11formula13.mml = 40, = 4, n = 20 to calculate the following confidence intervals for 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______

Explanation / Answer

Interval:

mean - Z*SD/SQRT(n) to mean + Z*SD/SQRT(n)

a)

Z at 90% = 1.6449

40 - 1.6449*4 / SQRT(20) to 40 + 1.6449*4 / SQRT(20)

38.5288 to 41.4712

b)

Z at 95% = 1.96

40 - 1.96*4 / SQRT(20) to 40 + 1.96*4 / SQRT(20)

38.2470 to 41.7530

c)

Z at 99% = 2.5758

40 - 2.5758*4 / SQRT(20) to 40 + 2.5758*4 / SQRT(20)

37.6961 to 42.3039

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

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