(d) Write out a 90% confidence interval about µ. (e) Fill in the blanks to interpret the confidence interval. We are % confident that lies between and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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part D E

Q4

How long is your commute to school? For a random sample 16 LaGuardia

students, the mean commute time was 33 minutes. The standard deviation for the

sample was 10 minutes. Answer the questions below to construct a 90% confidence

interval about the population mean, µ. Assume that student commute times are nor mally distributed.

(a) What are the values for the following variables?

  • x =
  • s =
  • n =
  • (degrees of freedom) df =

(b) What is the critical value, Tc corresponding to a 90% confidence level?

(c) Compute the margin of error,

Tc

s

n

=

(d) Write out a 90% confidence interval about µ.

(e) Fill in the blanks to interpret the confidence interval.

We are % confident that lies between and .

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