Question

If n=27, ¯ x (x-bar)=46, and s=9, find the margin of error at a 95% confidence level (use at least two decimal places)

If n=19, ¯xx¯ (x-bar)=48, and s=6, find the margin of error at a 95% confidence level (use at least two decimal places)

If n=16, ¯xx¯ (x-bar)=48, and s=6, find the margin of error at a 99% confidence level (use at least three decimal places)

Answer #1

**Answer:**

**a)**

Given,

degree of freedom = n - 1 = 27 - 1 = 26

alpha = 0.05

t(alpha/2,df) = t(0.05/2 , 26) = 2.055529 = 2.056

Margin of error = t*s/sqrt(n)

substitute values

= 2.056*9/sqrt(27)

= 3.56

**b)**

Given,

degree of freedom = n - 1 = 19 - 1 = 18

alpha = 0.05

t(alpha/2,df) = t(0.05/2 , 18) = 2.100922 = 2.101

Margin of error = t*s/sqrt(n)

substitute values

= 2.101*6/sqrt(19)

= 2.89

**c)**

Given,

degree of freedom = n - 1 = 16 - 1 = 15

alpha = 0.05

t(alpha/2,df) = t(0.05/2 , 15) = 2.131449 = 2.131

Margin of error = t*s/sqrt(n)

substitute values

= 2.131*6/sqrt(16)

= 3.20

1. If n=23, x¯ (x-bar)=32, and s=5, find the
margin of error at a 95% confidence level (use at least two decimal
places)
2. If n=24, ¯x¯ (x-bar)=47, and s=4, find the
margin of error at a 99% confidence level (use at least three
decimal places)

If n=28, ¯xx(x-bar)=46, and s=7, find the margin of error at a
95% confidence level
Give your answer to two decimal places.

If n=26, ¯xx¯ (x-bar)=50, and s=6, find the margin of error at a
99% confidence level (use at least three decimal places)

If n=12, ¯xx¯ (x-bar)=31, and s=8, find the margin of error at a
99% confidence level (use at least three decimal places)

If n=32, ¯ x (x-bar)=44, and s=7, find the margin of error at a
95% confidence level (use at least two decimal places)

If n=32, ¯ x (x-bar)=49, and s=3, find the margin of error at a
95% confidence level (use at least two decimal places)

If n=27, ¯ x (x-bar)=47, and s=6, find the margin of error at a
90% confidence level Give your answer to two decimal places.

If n=18, ¯xx¯(x-bar)=40, and s=10, find the margin of error at a
99% confidence level
Give your answer to two decimal places.

If n=22, ¯xx(x-bar)=41, and s=2, find the margin of error at a
90% confidence level
Give your answer to two decimal places.

a) If n=10, ¯xx¯(x-bar)=33, and s=10, construct a confidence
interval at a 80% confidence level. Assume the data came from a
normally distributed population.
Give your answers to one decimal place.
< μμ <
b) In a survey, 27 people were asked how much they spent on
their child's last birthday gift. The results were roughly
bell-shaped with a mean of $46 and standard deviation of $8. Find
the margin of error at a 99% confidence level.
Give your answer...

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