28 + 6 = 34 and 34 - 3 = 31!!!!!!!
According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:
![\frac{\sigma}{ \sqrt{n} }=\frac{1.2}{ \sqrt{178} }=0.09](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%20%5Csqrt%7Bn%7D%20%7D%3D%5Cfrac%7B1.2%7D%7B%20%5Csqrt%7B178%7D%20%7D%3D0.09)
The z-score for 1.5 flaws per square yard is:
![z=\frac{1.5-1.4}{0.09}=1.11](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1.5-1.4%7D%7B0.09%7D%3D1.11)
The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.
You need to give options for future reference
Answer:
Great job
Step-by-step explanation:
C. 32in. >> 10+10+6+6=32.