Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559 square feet. Assume that a simple random sample of 17 homes built in 2020 had a mean area of 2592 square feet, with a standard deviation of 179 square feet. Assume the population of areas is normally distributed. Can you conclude that the mean area of homes built in 2020 is not equal to that of homes built in 2018 ? Use the a=0.01 level of significance. Ho: µ=2559 H: u#2559 Part 1 of 3 (a) Find the P-value. Use the TI-84 calculator and round your answer to at least four decimal places. The P-value is

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Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559 square feet. Assume that a
simple random sample of 17 homes built in 2020 had a mean area of 2592 square feet, with a standard deviation of 179 square feet.
Assume the population of areas is normally distributed. Can you conclude that the mean area of homes built in 2020 is not equal to that
of homes built in 2018 ? Use the a=0.01 level of significance.
H: µ=2559
H: u#2559
Part 1 of 3
(a) Find the P-value. Use the TI-84 calculator and round your answer to at least four decimal places.
The P-value is
Transcribed Image Text:Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559 square feet. Assume that a simple random sample of 17 homes built in 2020 had a mean area of 2592 square feet, with a standard deviation of 179 square feet. Assume the population of areas is normally distributed. Can you conclude that the mean area of homes built in 2020 is not equal to that of homes built in 2018 ? Use the a=0.01 level of significance. H: µ=2559 H: u#2559 Part 1 of 3 (a) Find the P-value. Use the TI-84 calculator and round your answer to at least four decimal places. The P-value is
(b) What is the decision?
O Reject Ho
Do not reject H,
Part: 2/ 3
Part 3 of 3
(c) Interpret the result.
We (Choose one) ▼ enough evidence at the 0.01 level of significance to conclude that the mean area of homes built in 2020
(Choose one)
▼ that of homes built in 2018.
Transcribed Image Text:(b) What is the decision? O Reject Ho Do not reject H, Part: 2/ 3 Part 3 of 3 (c) Interpret the result. We (Choose one) ▼ enough evidence at the 0.01 level of significance to conclude that the mean area of homes built in 2020 (Choose one) ▼ that of homes built in 2018.
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