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QUESTION 4 A random sample of 10 mathematics dictionaries had an average price of $17.50 with...

QUESTION 4

  1. A random sample of 10 mathematics dictionaries had an average price of $17.50 with a sample standard deviation of $3.85.  Find the 95% confidence interval for µ, the population mean price of all mathematics dictionaries.

    A.

    (14.64, 20.36)
    B.

    (14.98, 20.02)
    C.

    (14.34, 20.66)
    D.

    (14.75, 20.25)
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

t /2,df = 2.262

Margin of error = E = t/2,df * (s /n)

= 2.262 * (3.85 / 10)

Margin of error = E = 2.75

The 95% confidence interval estimate of the population mean is,

- E < < + E

17.50 - 2.75 < < 17.50 + 2.75

14.75 < < 20.25

(14.75 , 20.25)

option D. is correct

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