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7.) The mean rate for a satellite television from a sample of households was $51.00 per month,
with a standard deviation of $2.00 per month. Between what two values do 75% of the data lie?
(Assume a bell-shaped distribution.) (HINT: Chebychev's Theorem)

Respuesta :

JeanaShupp

Answer: 75% of the rate lies in 47 per month and 55 per month.

Step-by-step explanation:

The mean rate for a satellite television from a sample of households was $51.00 per month,  with a standard deviation of $2.00 per month.

According to the Chebychev's Theorem, atleast [tex](1-\dfrac{1}{k^2})[/tex]  % of the data lies within k standard deviation from the mean.

For k=2

[tex]1-\dfrac1{2^2}=1-\dfrac14=\dfrac34=0.75\ or \ 75\%[/tex]

Alteast 75% of data lies within 2 standard deviation from mean.

i.e. 51-2(2) per month and 51+2(2) per month

i.e. 47 per month and 55 per month

Hence, 75% of the rate lies in 47 per month and 55 per month.

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