Furnace repair bills are normally distributed with a mean of µ = 273 dollars and a standard deviation of σ = 25 dollars. If n = 100 of these repair bills are randomly selected, find the probability that they have a mean cost, , between 270 dollars and 276 dollars. i.e. find P(270 <  < 276). In calculating the z-score, round your z-score to two decimal places. Use the normal table to find the probability and give answer to 4 decimal places.

MATLAB: An Introduction with Applications
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If we were to define an event as being unusual if it occurs less than 5% of the time, would we consider a sample of size n=36 that had a sample mean of 87kg to be considered unusual?  Why or why not?

 

Furnace repair bills are normally distributed with a mean of µ = 273 dollars and a standard deviation of σ = 25 dollars. If n = 100 of these repair bills are randomly selected, find the probability that they have a mean cost, , between 270 dollars and 276 dollars. i.e. find P(270 <  < 276). In calculating the z-score, round your z-score to two decimal places. Use the normal table to find the probability and give answer to 4 decimal places.

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If we were to define an event as being unusual if it occurs less than 5% of the time, would we consider a sample of size n=36 that had a sample mean of 87kg to be considered unusual?  Why or why not? (hint: number 6 gives the 95th percentile).

 

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