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2 years ago

9

Madonna and Bruce Springsteen had the two top-grossing concert tours for 2012, together generating about $427 million in ticket

sales. If Bruce took in $29 million less than Madonna, how much did each tour generate?

1 answer:

Maru [420]2 years ago

8 0

427,000,000 / 2 = 213,500,00
213,500,00 - 29,000,000 = 184,500,00

Bruce took in $184,500,00
Madonna took in £213,500,000

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3 years ago

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$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

<em>μ</em> = 144 mm

<em>σ</em> = 7 mm

<em>n</em> = 50.

Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

$\bar X\sim N(\mu_{\bar x}=144, \sigma_{\bar x}^{2}=0.98)$

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$P(\bar X-\mu_{\bar x}>2.6)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}} >\frac{2.6}{\sqrt{0.98}})$

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*Use a <em>z</em>-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

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2 years ago