Answer :
Answer:
the answer is D) 0.5
Step-by-step explanation:
This is because the the 3 inch bar to 3.5 inch bar jumped 0.5, but the z-score jumped 1. So if the z-score keeps jumping 1 every 0.5, your answer has to be D).
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Answer:
Standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
Step-by-step explanation:
We are given the following information in the question:
Formula:
[tex]z_{score} = \displaystyle\frac{x - \mu}{\sigma}[/tex]
where,
μ is the mean and σ is the standard deviation.
Putting the values we get:
[tex]\displaystyle\frac{ 3- \mu}{\sigma} = 1\\\\3 = \sigma + \mu\\\\\displaystyle\frac{ 3.5- \mu}{\sigma} = 2\\\\3.5 = 2\sigma + \mu[/tex]
Solving the two obtained equations:
Subtracting the two obtained equation, we have:
[tex]3.5-3 = \mu + 2\sigma - \mu -\sigma\\\sigma = 0.5[/tex]
Hence, standard deviation of the length of granola bars produced at Bernie's Bars is 0.50