Question 1 15 houses were randomly selected and their distances from the nearest

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Question 1 15 houses were randomly selected and their distances from the nearest fire station were measured. Below are the summary statistics and QQ plot (normal probability plot) of the data what assumptions are needed to construct a 95% confidence interval for ? The data are randomly obtained, the population distribution is approximately normal, and we have at least 15 successes and failures The data are randomly obtained, and since the QQ plat of the sample data is roughly linear, it indicates that the sample data are approximately normally distributed. Therefore, it is reasonable to assume that the population distribution is approximately normal The population distribution is approximately normal, and we have at least 15 successes and failures. The data are randomly obtained, and all the data are within 3 standard deviations of the mean. Question 2 Buffalo Wild Wings surveyed 52 random customers to see how many blazing wings they could eat in one sitting. The sample mean was 3.86, with a standard deviation of 1.05. Construct a 95% confidence interval for the true mean number o blazing wings a Buffalo Wild Wings customer could eat in one sitting. Round your answer to four decimal places. 95% Cl:( Question 3 A realtor computed a 99% confidence interval for the average cost of renting a 2-bedroom apartment in their city. 99% Cl: (530.77-1.285.23) Interpret this confidence interval in context. ·The realtor is 99% confident the sample mean cost to rent a 2-bedroom apartment in their city is between $530.77 and $1.285.23. " The realtor is 99% confident the true mean cost of renting a 2-bedroom apartment in their city is between $530.77 and $1.285.23 99% of all 2 bedroom apartments in the realtors city cost between $530.77 nd $1,285.23. 99% of people will be able to rent an apartment in the realtor's city costing between $530.77 and $1.285.23. . The realtor is 99% confident the true mean cost of rente a 2-bedroom apartment in any city is between $530.77 and $1.285.23. Question 4 A realtor computed a 99% confidence interval for the average cost of renting a 2-bedroom apartment in their city. 99% CI:530. 77128523) What is the margin of error? Round your answer to two decimal places

Explanation / Answer

1)
option B) is correct
2)
xbar = 3.86 , sd = 1.05 , n - 52
Calculation

M = 3.86
t = 2.01
sM = ?(1.052/52) = 0.15

? = M ± t(sM)
? = 3.86 ± 2.01*0.15
? = 3.86 ± 0.2923

Result

M = 3.86, 95% CI [3.5677, 4.1523].

You can be 95% confident that the population mean (?) falls between 3.5677 and 4.1523

3)
option b) is correct

4)
margin or error =1/2 ( 1285.23 - 530.77)
= 377.23

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