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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Asked Jan 21, 2020
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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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Expert Answer

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:

Statistics homework question answer, step 1, image 1
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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,

Statistics homework question answer, step 2, image 1
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Step 3

Thus, 87 is in three standard deviations from mean.

To obtain st...

Statistics homework question answer, step 3, image 1
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