Question

question 14 (1 point)
a normal distribution has a mean of -62 and a standard deviation of 10. find the z-
score for a data value of -64.
round your answer to two decimal places.
your answer:
answer
question 15 (1 point)
suppose that weights of bags of potato chips coming from a factory follow a normal
distribution with mean 12.8 ounces and standard deviation 0.6 ounces. a bag of
chips is taken off the conveyor belt and weighed. if the weight found was 13.59
ounces, then what is the corresponding z-score for that data?
round your answer to two decimal places.
your answer:
answer
question 16 (bonus) (1 point)

Explanation:

Step1: Recall the z - score formula

The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Calculate the z - score for Question 14

For Question 14, \(x = - 64\), \(\mu=-62\), and \(\sigma = 10\).
Substitute these values into the formula: \(z=\frac{-64-(-62)}{10}=\frac{-64 + 62}{10}=\frac{-2}{10}=-0.20\)

Step3: Calculate the z - score for Question 15

For Question 15, \(x = 13.59\), \(\mu = 12.8\), and \(\sigma=0.6\)
Substitute into the formula: \(z=\frac{13.59 - 12.8}{0.6}=\frac{0.79}{0.6}\approx1.32\)

Answer:

Question 14: \(-0.20\)
Question 15: \(1.32\)