You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of a = 0.4 degrees Celsius. You test a random sample 20 shift registers, and you record the following shut-down temperatures. Construct a 90% confidence interval for the overall mean shutdown-temperature. 174 174.94 175.06 174.48 175.04 174.71 175.4 175.57 174.57 174.19 176.15 173.97 175.17 175.29 174.84 174.71 174.52 174.75 175.04 175.16 (Sum of data values = 3497.56) a) Find the critical value and o. Round your answers to 3 decimal places. Critical Value: Oz: b) Find the confidence interval, rounded to 2 decimal places:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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You work for a company that produces electronics with integrated circuits. One of your products is
called a "shift register." This product is designed to automatically shut down if its operating
temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a
standard deviation of a = 0.4 degrees Celsius. You test a random sample 20 shift registers, and
you record the following shut-down temperatures. Construct a 90% confidence interval for the
overall mean shutdown-temperature.
174 174.94 175.06 174.48 175.04 174.71 175.4
175.57 174.57 174.19 176.15 173.97 175.17 175.29
174.84 174.71 174.52 174.75 175.04 175.16
(Sum of data values = 3497.56)
a) Find the critical value and o. Round your answers to 3 decimal places.
Critical Value:
JI:
b) Find the confidence interval, rounded to 2 decimal places: (
Transcribed Image Text:You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of a = 0.4 degrees Celsius. You test a random sample 20 shift registers, and you record the following shut-down temperatures. Construct a 90% confidence interval for the overall mean shutdown-temperature. 174 174.94 175.06 174.48 175.04 174.71 175.4 175.57 174.57 174.19 176.15 173.97 175.17 175.29 174.84 174.71 174.52 174.75 175.04 175.16 (Sum of data values = 3497.56) a) Find the critical value and o. Round your answers to 3 decimal places. Critical Value: JI: b) Find the confidence interval, rounded to 2 decimal places: (
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