# Prices of New Mobile Homes. The U.S. Census Bureau publishes annual price figures for new mobile homes in Manufactured Housing Statistics. The prices of a sample of 250 new mobile homes have roughly a bell-shaped distribution with mean \$63.3 thousand and standard deviation \$7.9 thousand.a. Fill in the blanks: Approximately 95% of the mobile homes in the sample have prices between \$ thousand and \$ thousand.b. Fill in the blank: Approximately % of the mobile homes in the sample have prices between \$39.6 thousand and \$87.0 thousand.c. Approximately howmany mobile homes in the sample have prices between \$55.4 thousand and \$71.2 thousand?

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Prices of New Mobile Homes. The U.S. Census Bureau publishes annual price figures for new mobile homes in Manufactured Housing Statistics. The prices of a sample of 250 new mobile homes have roughly a bell-shaped distribution with mean \$63.3 thousand and standard deviation \$7.9 thousand.

a. Fill in the blanks: Approximately 95% of the mobile homes in the sample have prices between \$ thousand and \$ thousand.
b. Fill in the blank: Approximately % of the mobile homes in the sample have prices between \$39.6 thousand and \$87.0 thousand.
c. Approximately howmany mobile homes in the sample have prices between \$55.4 thousand and \$71.2 thousand?

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Step 1

(a)

The empirical rule is used for finding the interval for which approximately 95%of the mobile homes in the sample have prices:

Step 2

Thus, the interval for which approximately 95%of the mobile homes in the sample have prices is (\$47.5, \$79.1)

Approximately 95% of the mobile homes in the sample have prices between \$47.5 thousand and \$79.1 thousand.

(b) To obtain standard deviation distance from mean to 87,

Step 3

Thus, 87 is in three standard deviations from mean.

To obtain st...

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