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Homes for Sale: A real estate agent is interested in the current housing prices in a particular neighborhood in New York. A random sample of 41 homes for sale in the neighborhood was taken and the current listed price of each home was recorded. The data can be found in the JMP file "HomesForSale-NY-S2021.jmp Download HomesForSale-NY-S2021.jmp".

(A)Use JMP to obtain the value of the sample mean . [ Select ] ["1880.3958", "1268.3659", "293.67", "297.32"]

(B) Use JMP to obtain the value of the sample standard deviation . [ Select ] ["293.67", "1268.37", "297.32", "1880.3958"]

(C)Report the degrees of freedom associated with the t-distribution required to construct a confidence interval for the mean for these data. [ Select ] ["41", "40", "42", "39"]

(D)What is the value of for the 90% confidence interval for the mean price of homes (in thousands of dollars)? [ Select ] ["1.684", "1.645", "2.021", "1.96"]

(E) What is the margin of error for the 90% confidence interval for the mean price of homes? [ Select ] ["575.59", "494.54", "500.68", "491.76", "485.73"]

(F) What is the value of the lower bound of the 90% confidence interval for the mean price of homes? [ Select ] ["782.64", "776.60", "773.83", "674.84", "767.68"]

(G)What is the value of the upper bound of the 90% confidence interval for the mean price of homes? [ Select ] ["1762.83", "1769.05", "1754.09", "1760.13"]

(H)Suppose your lower bound and the upper bound of the 90% confidence interval are 770 and 1800. Interpret this confidence interval in the context of the problem. [ Select ] ["There is 90% chance that the true mean price of homes for (all) homes in this particular neighborhood of New York is between 770 and 1800 thousands of dollars.", "We are 90% confident that the true mean price of homes for (all) homes in this particular neighborhood of New York is between 770 and 1800 thousands of dollars.", "If we take 100 samples and calculate 90% confidence intervals for each, we expect 10 out of the 100 intervals to contain the true mean price of homes for (all) homes in this particular neighborhood of New York.", "If we take 100 samples and calculate 90% confidence intervals for each, we expect 90 out of the 100 intervals to contain the sample mean price of these 41 homes for (all) homes in this particular neighborhood of New York.", "We are 90% confident that the sample mean price of homes for (all) homes in this particular neighborhood of New York is between 770 and 1800 thousands of dollars."]

(I)If I wanted to calculate a 99% confidence interval instead of a 90% confidence interval how would the 99% confidence interval compare to the 90% confidence interval. [ Select ] ["The confidence interval will be more narrow.", "The confidence interval will be more wide.", "The confidence interval not change.", "The center of the confidence interval will change."]