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SUMMARY OF FORMULAS FORMULA 6.1 Confidence interval for a sample mean (large sample): c.i. = ar{x} ± Z((sigma)/(sqrt{N})) FORMULA 6.2 Confidence interval for a sample mean (large sample): c.i. = ar{x} ± Z((s)/(sqrt{N-1})) FORMULA 6.3 Confidence interval for a sample proportion: c.i. = P_s ± Z√((P_u)(1-P_u)/(N)) 6.1 For each set of sample outcomes below, use Formula 6.2 to construct the 95% confidence interval for estimating μ, the population mean. a. ar{x} = 5.2, s = 0.7, N = 157 b. ar{x} = 100, s = 9, N = 620 c. ar{x} = 20, s = 3, N = 220 d. ar{x} = 1020, s = 50, N = 329 e. ar{x} = 7.3, s = 1.2, N = 105 f. ar{x} = 33, s = 6, N = 220 SUMMARY OF FORMULAS FORMULA 6.1 Confidence interval for a sample mean (large sample, population standard deviation known): c.i. = ar{x} ± Z((sigma)/(sqrt{N})) FORMULA 6.2 Confidence interval for a sample mean (large sample, population standard deviation unknown): c.i. = ar{x} ± Z((s)/(sqrt{N})) FORMULA 6.3 Confidence interval for a sample proportion (large sample): c.i. = P_s ± Z√((P_u)(1-P_u)/(N)) 6.1 For each set of sample outcomes below, use Formula 6.2 to construct the 95% confidence interval for estimating μ, the population mean: a. X = 5.2, s = 0.7, N = 157 b. X = 100, s = 9, N = 620 c. X = 20, s = 3, N = 220 d. X = 1020, s = 50, N = 329 e. X = 7.3, s = 1.2, N = 105 f. X = 33, s = 6, N = 220

Name: summary of formulas formula 61 confidence interval for a sample mean large sample ci barx zsigmasqrtn formula 62 confidence interval for a sample mean large sample ci barx zssqrtn 1 formula 00542
Uploaded: 2023-08-12T10:03:18-08:00
Duration: 2 min 47 s
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Description: summary of formulas formula 61 confidence interval for a sample mean large sample ci barx zsigmasqrtn formula 62 confidence interval for a sample mean large sample ci barx zssqrtn 1 formula 00542

          SUMMARY OF FORMULAS
FORMULA 6.1
Confidence interval for a sample mean (large sample):
c.i. = ar{x} ± Z((sigma)/(sqrt{N}))

FORMULA 6.2
Confidence interval for a sample mean (large sample):
c.i. = ar{x} ± Z((s)/(sqrt{N-1}))

FORMULA 6.3
Confidence interval for a sample proportion:
c.i. = P_s ± Z√((P_u)(1-P_u)/(N))

6.1 For each set of sample outcomes below, use Formula 6.2 to construct the 95% confidence interval for estimating μ, the population mean.
a. ar{x} = 5.2, s = 0.7, N = 157
b. ar{x} = 100, s = 9, N = 620
c. ar{x} = 20, s = 3, N = 220
d. ar{x} = 1020, s = 50, N = 329
e. ar{x} = 7.3, s = 1.2, N = 105
f. ar{x} = 33, s = 6, N = 220

SUMMARY OF FORMULAS
FORMULA 6.1
Confidence interval for a sample mean (large sample, population standard deviation known):
c.i. = ar{x} ± Z((sigma)/(sqrt{N}))

FORMULA 6.2
Confidence interval for a sample mean (large sample, population standard deviation unknown):
c.i. = ar{x} ± Z((s)/(sqrt{N}))

FORMULA 6.3
Confidence interval for a sample proportion (large sample):
c.i. = P_s ± Z√((P_u)(1-P_u)/(N))

6.1 For each set of sample outcomes below, use Formula 6.2 to construct the 95% confidence interval for estimating μ, the population mean:
a. X = 5.2, s = 0.7, N = 157
b. X = 100, s = 9, N = 620
c. X = 20, s = 3, N = 220
d. X = 1020, s = 50, N = 329
e. X = 7.3, s = 1.2, N = 105
f. X = 33, s = 6, N = 220

summary of formulas formula 61 confidence interval for a sample mean large sample ci barx zsigmasqrtn formula 62 confidence interval for a sample mean large sample ci barx zssqrtn 1 formula 00542

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