Question

htmathe Student Homework Theme =41778etod y FALL 2019 STAT 3309 CRN 120961 Homework: Section 8.3 Confidence intervals with s Homework Score: 0 57 of 1 pt 28.3.22-T Determine the margin of error for a 95% confidence interval to estimate the E a) n. 13 b) n = 30 c) n46 a) The margin of error for a 95% confidence Weval when n = 13 is 22:35 (Round to two decimal places as needed.) b) The margin of error for a 95% confidence interval when n = 30 is 13.81 (Round to two decimal places as needed) 45 is c) The margin of error for a 95% confidence interval when (Round to two decimal places as needed] Enter your answer in the answer box and then click Check Ansi All parts showing A et de 9B Type here to search

Determine the margin of error for a 95% confidence interval to estimate the population mean when s=37 for the sample sizes below.

Solve for c) n=46.

Answer 1

a) GIVEN:

Sample size

(n) = 13

Sample standard deviation

(s) = 37

FORMULA USED:

The formula for margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

where $z_{c}$ is the z critical value at 95% confidence level.

CRITICAL VALUE:

The two tailed z critical value at 95% confidence level is .

CALCULATION:

The margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

  

1.96 % (37/V13)

MOE = 20.11

The margin of error for a 95% confidence interval to estimate the population mean for sample size
(n) = 13
is .

b) GIVEN:

Sample size

(n) = 30

Sample standard deviation

(s) = 37

FORMULA USED:

The formula for margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

where $z_{c}$ is the z critical value at 95% confidence level.

CRITICAL VALUE:

The two tailed z critical value at 95% confidence level is .

CALCULATION:

The margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

  

= 1.96 * (37/30)

MOE = 13.24

The margin of error for a 95% confidence interval to estimate the population mean for sample size
(n) = 30
is .

c) GIVEN:

Sample size

(n) = 46

Sample standard deviation

(s) = 37

FORMULA USED:

The formula for margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

where $z_{c}$ is the z critical value at 95% confidence level.

CRITICAL VALUE:

The two tailed z critical value at 95% confidence level is .

CALCULATION:

The margin of error for a 95% confidence interval to estimate the population mean is,

MOE = 2*(s/n)

  

= 1.96 * (37/146)

MOE = 10.69

The margin of error for a 95% confidence interval to estimate the population mean for sample size
(n) = 46
is .