Adistribution has a mean of 16 and a standard deviation of 6. what is the z score that corresponds with 34?

Answers

a) 99.7%

b) 68%

Explanation:

\mu = Mean = 168 cm

\sigma = Standard deviation = 6 cm

a. 150 cm and 186 cm

168-6\times 3=150

168+6\times 3=186

They vary by 3 standard deviations. So, 99.7% of men are between 150 and 186 cm

b. 162 cm and 174 cm

168-6\times 1=162

168+6\times 1=174

They vary by 1 standard deviations. So, 68% of men are between 162 and 174 cm

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

Z=\frac{x-mean}{standard deviation}

For the case given, the z score will be;

Z=\frac{34-16}{6}=3



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