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CASE: MERCEDES GOES AFTER YOUNGER BUYERS

Questions for discussion.

1. Suppose Mercedes is concerned that dealer prices of the CLK 320 are not consistent and that even though the average price is $43,215, the prices are actually normally distributed with a standard deviation of $2,981. Suppose also that Mercedes believes that at $42,000, the CLK 320 is priced out of the BMW 330ci market. What percentage of the dealer prices for the Mercedes CLK 320 is more than $42,000 and hence priced out of the BMW 330ci market?

|z = x - µ |=42,000 - 43,215 |= -0.41 |
|σ |2,981 | |
| |0.3409 |
|from z table | |
|P(x≥42000) |=1 - .3409 |=0.6591 |

from excel
|P(x≥42000) |=NORMDIST(42000,43215,2981,TRUE) |=0.3418 |
| |=1 - .3418 |=0.6582 |

66% of the dealer prices for the Mercedes CLK 320 is more than $42,000 and hence priced out of the BMW 330ci market.

2. The average price for a BMW 330ci is $34,990. Suppose these prices are also normally distributed with a standard deviation of $2,367. What percentage of BMW dealers is pricing the 330ci more that the average price for a CLK 320?

|z = x - µ |=43215 - 34,990 |=3.47 |
|σ |2,367 | |

|P(x>43215) |=NORMDIST(43215,34990,2367,TRUE) |=0.9997 |
| |=1 - .9997 |=0.0003 |

.03% of BMW dealers is pricing the 330ci at more

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