Question

Inference fro one mean: In a survey, 18 people were asked how much they spent on...

Inference fro one mean:

In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $38 and standard deviation of $4. Find the margin of error at a 95% confidence level.

Give your answer to two decimal places.

Homework Answers

Answer #1

Solution :  

Given that,

= 38

= 4

n = 18

At 95% confidence level the z is ,

  = 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

Margin of error = E = Z/2* (/n)

= 1.960 * (4/ 18 )

= 1.85

Margin of error = = 1.85

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