Nassau Community College uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 848 hours with a population standard deviation of 72 hours. A manufacturer claims that its new brand of bulbs, which cost the same as the brand the college currently uses, has a mean life of more than 848 hours. The college has decided to purchase the new brand if, when tested, the test evidence supports the manufacturer's claim at the 1% significance level. Suppose 49 bulbs were tested and the mean life was found to be 866. Complete the steps of a hypothesis test below, and then answer the question, "should the college purchase the new brand of light bulbs?" (a) State the hypotheses: Ho: The Select an answer v light bulb life Select an answer hours. Symbols: u ? v Ha: The Select an answer v light bulb life Select an answer hours. Symbols: Hp - I2 (b) The correct symbol for the mean of the sampling distribution is: P1-P2 (c) The value for the mean of the sampling distribution is:
Nassau Community College uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 848 hours with a population standard deviation of 72 hours. A manufacturer claims that its new brand of bulbs, which cost the same as the brand the college currently uses, has a mean life of more than 848 hours. The college has decided to purchase the new brand if, when tested, the test evidence supports the manufacturer's claim at the 1% significance level. Suppose 49 bulbs were tested and the mean life was found to be 866. Complete the steps of a hypothesis test below, and then answer the question, "should the college purchase the new brand of light bulbs?" (a) State the hypotheses: Ho: The Select an answer v light bulb life Select an answer hours. Symbols: u ? v Ha: The Select an answer v light bulb life Select an answer hours. Symbols: Hp - I2 (b) The correct symbol for the mean of the sampling distribution is: P1-P2 (c) The value for the mean of the sampling distribution is:
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 13PPS
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Transcribed Image Text:Nassau Community College uses thousands of fluorescent light bulbs each year. The brand of bulb it
currently uses has a mean life of 848 hours with a population standard deviation of 72 hours. A
manufacturer claims that its new brand of bulbs, which cost the same as the brand the college
currently uses, has a mean life of more than 848 hours. The college has decided to purchase the new
brand if, when tested, the test evidence supports the manufacturer's claim at the 1% significance level.
Suppose 49 bulbs were tested and the mean life was found to be 866. Complete the steps of a
hypothesis test below, and then answer the question, "should the college purchase the new brand of
light bulbs?"
(a) State the hypotheses:
Ho: The Select an answer
v light bulb life Select an answer
hours.
Symbols:
Td – Idr
Ha: The Select an answer
v light bulb life Select an answer
hours.
Symbols:
(b) The correct symbol for the mean of the sampling distribution is:
P1- P2
x2 - 1
(c) The value for the mean of the sampling distribution is:
(d) Choose the correct distribution:
T-Distribution
OChi-Square Distribution
Normal Distribution
Why?
II
Transcribed Image Text:Why?
We are provided with o for the population andn> 30.
We are not provided with the population standard deviation.
The size of n < 30.
We are provided with .
(e) State the decision rule:
Select an answer
v at a =
% if the p-value of the
Select an answer
v is Select an answer
(f) Experiment:
Symbol of the sample statistic:
P1-P2
a2 - 1
Value of the sample statistic:
P-value of the sample statistic rounded to 4 decimal places:
(g) Conclusion: Select an answer
v at a
(h) Answer the question: Should the college purchase the new brand of light bulbs?
Yes, because the p-value is less than alpha.
No, because p-value is greater than alpha.
Yes, because the p-value is greater than alpha.
O No, because the p-value is less than alpha.
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