Per the forum rules, you must make an attempt at a solution.moonman239 said:1. The problem statement,
The probability of a defective bolt is 1/10. Find the standard deviation of defective bolts of a normally distributed set of 400 bolts.
and given/known data
Mean = 40 bolts
2. The attempt at a solution
None
Mark44 said:Per the forum rules, you must make an attempt at a solution.
The area between two z scores represents the probability of a random variable falling between those two z scores. It is the area under the normal curve between those two z scores.
To calculate the area between two z scores, you can use a standard normal distribution table or a statistical software. You can also use the formula: A = Φ(z2) - Φ(z1), where Φ represents the cumulative distribution function of the standard normal distribution and z1 and z2 are the two z scores.
The area between two z scores is directly related to the probability. The larger the area, the higher the probability that a random variable will fall between those two z scores. Conversely, the smaller the area, the lower the probability.
No, the area between two z scores cannot be negative. The area represents a probability, and probabilities cannot be negative. If you get a negative value when calculating the area between two z scores, it is likely due to an error in calculation or interpretation.
The area between two z scores is used in statistics to determine the likelihood of a random variable falling in a certain range. It is also used in hypothesis testing to calculate p-values and determine the significance of results. Additionally, it can be used to calculate confidence intervals for a population mean.