Ages of Homes Whiting, Indiana leads the "Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 22 houses from Whiting and 19 houses from Franklin and obtained the following statistics. At α=0.05, can it be concluded that the houses in Whiting are older? Use the P-value method. Assume the variables are normally distributed and the variances are unequal. WhitingFranklinMean age (in years)61.659.7Standard deviation (in years)5.43.9Use μ1 for the average age of houses in Whiting. (a) State the hypotheses and identify the claim.H0: claim/not claim H1: claim/not claimThis hypothesis test is a one-tailed/two-tailed test. (b) Compute the test value. Round the answer to at least three decimal places.t=(c) Find the interval for the P-value.The correct interval is (d) Make the decision.Reject/do not reject the null hypothesis.(e) Summarize the results.There is/is not enough evidence to support the claim that the houses in Whiting are older.

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Description: Ages of Homes Whiting, Indiana leads the "Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers select

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Ages of Homes Whiting, Indiana leads the "Top 100 Cities with the Oldest Houses" list with the average age of houses being

66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 22 houses from Whiting and

19 houses from Franklin and obtained the following statistics. At

α=0.05, can it be concluded that the houses in Whiting are older? Use the P-value method. Assume the variables are normally distributed and the variances are unequal.

	Whiting	Franklin
Mean age (in years)	61.6	59.7
Standard deviation (in years)	5.4	3.9

Use μ1 for the average age of houses in Whiting.

(a) State the hypotheses and identify the claim.

H0: claim/not claim

H1: claim/not claim

This hypothesis test is a one-tailed/two-tailed test.

(b) Compute the test value. Round the answer to at least three decimal places.

The correct interval is

(d) Make the decision.

Reject/do not reject the null hypothesis.

(e) Summarize the results.

There is/is not enough evidence to support the claim that the houses in Whiting are older.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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