Question 6 (1 point) The mean area of homes in a certain city built in 2009 was

Question

Question 6 (1 point) The mean area of homes in a certain city built in 2009 was 2438 square feet. Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,303 square feet, with a standard deviation of 225 square feet. An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. Compute the P-value of the test. Write down your P-value. You will need it for the next question. Write only a number as your answer. Round to four decimal places (for example: 0.3841). Your Answer: Answer Save Question 7(1 point) In the last question, an insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. What is the conclusion at the 0.05 level of significance? There is evidence to conclude that the mean area of homes built in 2010 is less than that of homes built in 2009 There is not enough evidence to conclude that the mean area of homes built in 2010 is less than that of homes built in 2009 There is evidence to conclude that the mean area of homes built in 2010 is not less than that of homes built in 2009 There is not enough evidence to conclude that the mean area of homes built in 2010 is not less than that of homes built in 2009

Explanation / Answer

Solution6:

H0:mu=2438

H1:mu<2438

test statisitc

t=sample mean -pop mean/sample sd/sqrt(n)

=2303-2438/225/sqrt11)

t=-1.99

p=0.0373

ANSWER:0.0373

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