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Advocard [28]
3 years ago
10

the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the p

robability that in a random sample of 25 students from this group, the average height will be between 73 and 75 inches?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0
Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this: 
<span>2P(Z<2)−1</span> To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then<span><span>2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.</span></span>
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3 years ago
Solve for x: −2x + 5 &lt; 7
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-2x + 5 < 7

-2x + 5 < 7
<u>        -5     -5   </u>       deduct 5 from both sides
-2x       < 2
<u>÷ -2        ÷ -2  </u>       divide both sides by negative 2. Because of the division 
 x          > -1          using a negative number, the sign is then reversed.
                             from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on... 

To check: Revert back to the original sign which is <.

x = 1
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2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
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