Q3 Acme Corporation manufactures light bulbs. The CEO claims that an average Acme light bulb lasts 30 months with a standard deviation of 5 months. A researcher randomly selects 20 bulbs for testing. The results are given below: 25 19 29 36 36 40 22 26 35 20 23 16 15 21 22 13 24 25 28 25 a) Compute the t statistic for the data. b) Calculate the probability that 20 randomly selected bulbs would have an average life of no more than 30 months. c) Compute the chi square (x²) statistic for the data. d) Calculate the probability that the standard deviation of the test would be greater than 5 months.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q3
Acme Corporation manufactures light bulbs. The CEO claims that an average Acme light bulb lasts
30 months with a standard deviation of 5 months. A researcher randomly selects 20 bulbs for testing.
The results are given below:
25 19 29 36 36 40 22 26 35 20 23 16 15 21 22 13 24 25 28 25
a) Compute the t statistic for the data.
b) Calculate the probability that 20 randomly selected bulbs would have an average life of no
more than 30 months.
c) Compute the chi square ((x²) statistic for the data.
d) Calculate the probability that the standard deviation of the test would be greater than 5
months.
Transcribed Image Text:Q3 Acme Corporation manufactures light bulbs. The CEO claims that an average Acme light bulb lasts 30 months with a standard deviation of 5 months. A researcher randomly selects 20 bulbs for testing. The results are given below: 25 19 29 36 36 40 22 26 35 20 23 16 15 21 22 13 24 25 28 25 a) Compute the t statistic for the data. b) Calculate the probability that 20 randomly selected bulbs would have an average life of no more than 30 months. c) Compute the chi square ((x²) statistic for the data. d) Calculate the probability that the standard deviation of the test would be greater than 5 months.
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